suppose a 3 × 3 matrix a = a b c d e f g h i has determinant 4. what is the determinant of b = a 2b c g 2h i d 3a 2e 6b f 3c ?

Answers

Answer 1

The determinant of matrix b is 48b^2 - 24ch - 6dbc + 2dhi + 2gce - 2gbi, which can be obtained by expanding along the first column and using the formula for the determinant of a 3x3 matrix.

The determinant of matrix b can be found by applying the formula for the determinant of a 3 × 3 matrix. We can expand along the first column of matrix b to get:

det(b) = a(det[2b 2h; 3c 6b]) - d(det[c 2h; i 6b]) + g(det[c 2b; i 2e])

Simplifying each of the 2 × 2 determinants:

det[2b 2h; 3c 6b] = (2b)(6b) - (2h)(3c) = 12b^2 - 6ch
det[c 2h; i 6b] = (c)(6b) - (2h)(i) = 6bc - 2hi
det[c 2b; i 2e] = (c)(2e) - (2b)(i) = 2ce - 2bi

Substituting these values into the expanded formula:

det(b) = a(12b^2 - 6ch) - d(6bc - 2hi) + g(2ce - 2bi)

Since we know that det(a) = 4, we can substitute the entries of matrix a into this formula and simplify:

det(b) = (a)(12b^2 - 6ch) - (d)(6bc - 2hi) + (g)(2ce - 2bi)
      = (4)(12b^2 - 6ch) - (d)(6bc - 2hi) + (g)(2ce - 2bi)
      = 48b^2 - 24ch - 6dbc + 2dhi + 2gce - 2gbi

Therefore, the determinant of matrix b is 48b^2 - 24ch - 6dbc + 2dhi + 2gce - 2gbi.

Learn more about determinant of matrix:

https://brainly.com/question/4470545

#SPJ11


Related Questions

Determine whether the triangles are similar. If so, choose the correct similarity statement and reason.

Answers

The ratio of the related flanks is not identical. Then the triangles are not similar.

What is the triangle?

A triangle has three sides which are straight lines. The aggregation of the interior angle of the triangle is 180°.

If two triangles are equivalent, the ratio of the matching sides will not change.

The ratio is given as,

AE / EC = FA / FB

9 / 3 = 10 / 5

3 ≠ 2

The ratio of the related flanks is not identical. Then the triangles are not similar.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ9

The complete question is given below.

Determine whether the triangles are similar. If so, choose the correct similarity statement and reason.

2x + 6 = 8
can someone tell me dis​

Answers

Answer:

x=1

Step-by-step explanation:

is the answer

Answer:

x = 1

Step-by-step explanation:

Find the slope of the tangent line to the polar curve r = 2 - sin(0) at the point specified by 0 = "/3. Slope=

Answers

The slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

To find the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3, we need to first find the derivative of r with respect to θ, and then evaluate it at θ = π/3.

Differentiating both sides of the polar equation with respect to θ, we get:

dr/dθ = d/dθ(2 - sinθ)

dr/dθ = -cosθ

So, the derivative of r with respect to θ is -cosθ.

Evaluating this derivative at θ = π/3, we get:

dr/dθ|θ=π/3 = -cos(π/3) = -1/2

Therefore, the slope of the tangent line to the polar curve r = 2 - sin(θ) at the point specified by θ = π/3 is -1/2.

Learn more about polar curve here:

https://brainly.com/question/28976035

#SPJ11

you need to add lines, segments, and angles to create your ultimate circle. you need to incorporate specific theorems. Each problem must ask for a missing measure(an arc measure, segment length or angle measure. Provide information that someone would need to solve at the top of the puzzle could include angle measures, arc measures, tangent lines, parallel ect. You must list which problem number is used for each listed theorem show all work.

you need to add lines, segments, and angles to create your ultimate circle. you need to incorporate specific

Answers

Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.

What is the tangent arc theorem?

The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.

Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.

Learn more about the tangent arc theorem here:

https://brainly.com/question/29239907

#SPJ1


Many people believe that ISO 14000 will have a larger impact on
organizations than ISO 9000. Why do you think that might be
true?

Answers

ISO 14000 is a set of international standards that focuses on environmental management systems, while ISO 9000 is a set of standards that focuses on quality management systems.

There are several reasons why many people believe that ISO 14000 will have a larger impact on organizations than ISO 9000:

Growing Environmental Concerns: In recent years, there has been an increasing global focus on environmental issues such as climate change, pollution, and resource depletion. As a result, organizations are under greater pressure to address these concerns and demonstrate their commitment to sustainable practices. ISO 14000 provides a framework for organizations to implement effective environmental management systems, which aligns with the rising importance of environmental sustainability.

Regulatory Compliance: Governments and regulatory bodies are imposing stricter environmental regulations and requirements on organizations. Compliance with these regulations is essential to avoid penalties and maintain a positive reputation. ISO 14000 certification helps organizations meet regulatory obligations by providing guidelines for identifying, managing, and reducing their environmental impacts. Therefore, ISO 14000 can have a significant impact on organizations' ability to comply with environmental regulations.

Stakeholder Expectations: Customers, investors, employees, and other stakeholders are increasingly demanding transparency and accountability regarding organizations' environmental practices. ISO 14000 certification serves as a credible and recognized proof of an organization's commitment to environmental responsibility. Meeting stakeholder expectations is crucial for maintaining brand reputation, attracting customers, and securing investments.

Competitive Advantage: Adopting ISO 14000 standards can provide organizations with a competitive edge in the market. Customers are becoming more conscious of environmental issues and are more likely to support businesses that demonstrate environmental responsibility. ISO 14000 certification can differentiate organizations from their competitors and enhance their market position by showcasing their commitment to sustainable practices.

ISO 14000 is believed to have a larger impact on organizations than ISO 9000 due to the increasing importance of environmental concerns, regulatory compliance requirements, stakeholder expectations, and the potential for gaining a competitive advantage. As organizations strive to align with sustainable practices and address environmental challenges, ISO 14000 provides a valuable framework to guide their efforts and demonstrate their commitment to environmental responsibility.

Learn more about differentiate here:

https://brainly.com/question/24062595

#SPJ11

Find an equation for the line tangent to the graph of the given function at the indicated point. 8 3) f(x): () = at at (4,2) X 1 4) f(x)=x2-x at (4, 12)

Answers

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

Learn more about line tangent: brainly.com/question/30162650

#SPJ11

A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?

*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*

Answers

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

1. Yasmine earns $0.25 for each cup of lemonade she sells.
She earned $86 last Thursday selling lemonade. How
many cups of lemonade did she sell last Thursday?

Answers

Answer:

It is 86/0.25. So she selled 172 cups of lemonade.

Step-by-step explanation:

Between which two consecutive integers does V185 lie?
A
12 and 13
B.
13 and 14
C
14 and 15
D.
15 and 16

Answers

Answer: B

Step-by-step explanation: desmos

Hello may someone please help me with this!!! please use something to edit on it to do the calculation part, thank u so much,

a Hint is that you have to multiply because of ‘how much did she “save in all”’.

this is the last thing i have to do!

Hello may someone please help me with this!!! please use something to edit on it to do the calculation

Answers

Answer:

61.74 Dirham

Step-by-step explanation:

I will assume that she saved 24.5 Dirham every month. To find out how much Mariam saved in total, you will multiply the amount saved every month by the amount of months she saved her Dirham. The equation is this:

24.5 × 2.52 = 61.74

Hope this helps friend.

32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
What are the dimensions of the rectangle?

Answers

Answer: 12.5

You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."

subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"

What are the possible values of the missing term in the geometric sequence? 4, , 9.


+_5

+_6

+_13

+_36

Answers

+_5, because 4 + 5 = 9

Answer:

+_6

Step-by-step explanation:

let the possible values be x.

x÷4=9÷x

from that you will get x^2=36

introduce a square root to both sides and the answer is +_6

As shown in the diagram below, ABC is parallel to EFG and BF is congruent to EF. SCBF equals 42. 5° then EBF is...

As shown in the diagram below, ABC is parallel to EFG and BF is congruent to EF. SCBF equals 42. 5 then

Answers

Considering the figure angle EBF is calculated to 68.75 degrees

How to find the < EBF

Examining the figure and noting the parallel lines

< CBF = < BFE (alternate angels postulates)

< CBF = 42.5

< BFE = 42.5

Triangle BFE is an isosceles triangle given that the two sides are equal the base angles are also equal

Therefore, applying sum of angels of a triangle = 180 we have

< BFE + < FEB + < EBF = 180 (sum of angles of a triangle)

< FEB = < EBF (base angles of isosceles triangle)

let < FEB = x

42.5 + x + x = 180

42.5 + 2x = 180

2x = 180 - 42.5

2x = 137.5

x = 68.75

angle < EBF is solved to be 68.75

Learn more on angles here:

https://brainly.com/question/29322749

#SPJ1

The value of “p” in 1
3
+ p = 2
5
is .............

Answers

Answer:

p = 12

Step-by-step explanation:

13 + p = 25 ( subtract 13 from both sides )

p = 12

Answer:

the value of P is 12

Step-by-step explanation:

if 13+P=25 then P must be 12

subtract 13 from both sides

you're left with P=12

Simplify the expression. Write your answers using integers or improper fractions.

− 3/2(1/2 n+2n−3)+4n

Answers

The expression is simplified to n - 16/ 4

What are algebraic expressions?

Algebraic expressions are expressions comprising of terms, variables, factors, constants and coefficients.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, bracket, etc.

Given the expression;

− 3/2(1/2 n+2n−3)+4n

Solve the variables in the bracket, we have;

- 3/ 2 {   n + 4n - 6 / 2} + 4n

-3/2 { 5n - 6/ 2 } + 4n

expand the bracket

- 15n - 18/ 4 + 4n

Fin the LCM

-15n - 16 + 16n  /4

n - 16/ 4

Thus, the expression is simplified to n - 16/ 4

Learn more about algebraic expressions here:

https://brainly.com/question/4541471

#SPJ1

a square has a perimeter of 72 units. if its length measures 3y and its width measures 2x, what is the area of the square

Answers

Answer:

324

Step-by-step explanation:

square has 4 sides.

perimeter adds all sides to make 72

72/4=18 units each side

length * width =area of square

square has all sides equal, so 3y and 2x are tricks to confuse. All sides are 18.

18*18= 324

Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she works, she is paid 1.5 times her hourly wage. If Daisy works for x hours in a day, and x is greater than 8, the expression giving her net earnings for the day is (blank).
If Daisy works 13 hours, she will be paid (blank).

Answers

Answer:

Total net earnings = 80+15(x-8)

If Daisy works 13 hours, she will be paid $155.

Step-by-step explanation:

Let Daisy works for x hours a day

She is paid $10 per hour for the first 8 hours she works in a day.

So, pay for the first 8 hours =10\times8=80 dollars

For every extra hour she works, she is paid 1.5 times her hourly wage.

The number of hours worked over 8 hours is given by = x-8

So, pay for the hours worked over 8 hours = 15(x-8) dollars

Total net earnings = 80+15(x-8)

And when x = 13

The pay is : 80+15(13-8)

= 80+15(5)

= 80+75 = 155 dollars

Answer:

1) y = 15(x-8) + 80

2) $155

Step-by-step explanation:

First blank:

use the linear expression form: y = mx + b

If Daisy is working more than 8 hours, (since the problem says x > 8), then she is getting $10 per hour guaranteed, which is $80 overall. So 80 will be our constant term, b

for every hour after 8, she is being paid 1.5 x 10, which is $15. This is our slope term, m.

So our expression is: y = 15(x-8) + 80

The reason we use x-8 instead of just x, is because x is the number of hours she works, but she will only be paid 15 bucks/hour when she works after 8 hours. So we need to subtract 8 from x to get the number of hours she works after the minimum 8.

Second Blank:

If Daisy works 13 hours, just replace x with 13 in our formula:

y = 15(x-8) + 80

y = 15(13-8) + 80

y = 15(5) + 80

y = 75 + 80

y = $155

If she works for 13 hours, she gets paid $85

Hare Krishna! :)

rewrite the expression with a rational exponent as a radical expression. (1 point) five to the three fourths power all raised to the two thirds power

Answers

The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.

First, let's calculate the exponentiation inside the parentheses:

(5^(3/4))^2/3

To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:

5^((3/4) * (2/3))

When multiplying fractions, we multiply the numerators and denominators separately:

5^((3 * 2)/(4 * 3))

Simplifying further:

5^(6/12)

The numerator and denominator of the exponent can be divided by 6, which results in:

5^(1/2)

Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:

√5

Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.

Learn more about expression here:

brainly.com/question/14083225

#SPJ11

In a ________ method, relationships between variables are studied by making observations or measures of the variables of interest.

Answers

In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.

What is nonexperimental research?

Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.

The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.

It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.

Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.

To learn more about non-experimental research, visit: https://brainly.com/question/28039772?referrer=searchResults

#SPJ4

A random sample of 539 households from a certain midwestern city was selected, and it was determined that 133 of these households owned at least one firearm ("The Social Determinants of Gun Ownership; Self-Protection in an Urban Environment." Criminology, 1997: 629–640). Using a 95% confidence level, calculate a lower confidence bound for the proportion of all households in this city that own at least one firearm.

Answers

The lower confidence bound for the proportion of households owning at least one firearm is approximately 0.219 (or 21.9%) at a 95% confidence level.

To calculate the lower confidence bound for the proportion of households in the city that own at least one firearm, we can use the formula for a confidence interval for a proportion.

Given that the sample size is 539 and the number of households owning at least one firearm is 133, we can calculate the sample proportion (p-hat) as the number of successes (133) divided by the sample size (539), which is approximately 0.2465.

To calculate the lower confidence bound, we need to determine the critical value associated with the desired confidence level. Since we are using a 95% confidence level, we can use the standard normal distribution and find the critical value corresponding to a one-sided confidence interval.

The critical value for a 95% confidence level is approximately 1.645.

Next, we calculate the standard error of the proportion, which is the square root of (p-hat * (1 - p-hat)) divided by the sample size. Using the calculated p-hat value, the standard error is approximately 0.0165.

Finally, we can calculate the lower confidence bound by subtracting the product of the critical value and the standard error from the sample proportion:

Lower Confidence Bound = p-hat - (critical value * standard error)

Lower Confidence Bound = 0.2465 - (1.645 * 0.0165)

Lower Confidence Bound ≈ 0.219

Therefore, using a 95% confidence level, the lower confidence bound for the proportion of households in the city that own at least one firearm is approximately 0.219, indicating that at least 21.9% of households in the city own at least one firearm.

To learn more about lower confidence refer here:

https://brainly.com/question/29048041

#SPJ11

"
Find the missing term. ___+(7-3ii) + (5 + 9) + 13i= 10-5i."

Answers

To find the missing term in the equation ___ + (7 - 3ii) + (5 + 9) + 13i = 10 - 5i, we need to simplify the equation and determine the value of the missing term.

Let's simplify the equation by combining like terms:

On the left side, we have:

(7 - 3ii) + (5 + 9) + 13i

Combining like terms within the parentheses, we get:

7 - 3ii + 14 + 13i

Now, let's combine the real parts (constants) and the imaginary parts (terms with "i") separately:

Real parts: 7 + 14 = 21

Imaginary parts: -3ii + 13i

To combine the imaginary parts, we need to remember that "i" is the imaginary unit, and "i^2" is equal to -1. So, we can rewrite -3ii as -3i * i^2.

Using the property "i^2 = -1," we can simplify -3i * i^2 as -3i * (-1), which gives us 3i.

Now, let's put the real and imaginary parts together:

Real part: 21

Imaginary part: 3i

Therefore, the missing term in the equation ___ + (7 - 3ii) + (5 + 9) + 13i = 10 - 5i is 21 + 3i.

To learn more about imaginary parts: -brainly.com/question/13389642

#SPJ11

Use the formula for the present value of an ottinary annufy of the amartieation formia to solve the following problem PV = $9,000; i= 0.025; PMT = $500 ; n=?

Answers

The total number of periods (n) is approximately 140. An annuity is an investment that pays a fixed payment at regular intervals. The present value of an annuity formula is used to calculate the value of a series of future periodic payments at a given time.

The formula for the present value of an ordinary annuity of the amortization formula is:

PV = PMT * [(1 - (1 + i)^-n) / i]

Where,

PV is the present value of the annuity, i is the interest rate (per period),n is the total number of periods, and PMT is the payment per period. In the given problem,

PV = $9,000i

= 0.025PMT

= $500n

=?

Substitute these values in the formula and solve for n:

9000 = 500 * [(1 - (1 + 0.025)^-n) / 0.025]

Simplify and solve for (1 - (1 + 0.025)^-n):(1 - (1 + 0.025)^-n) = 9000 / (500 * 0.025)(1 - (1.025)^-n)

= 72n

= - log (1 - 72 / 41) / log (1.025)n

≈ 139.7

Therefore, the total number of periods (n) is approximately 140 (rounded to the nearest whole number). An annuity is an investment that pays a fixed payment at regular intervals. The present value of an annuity formula is used to calculate the value of a series of future periodic payments at a given time. A common example of an annuity is a lottery that pays out a fixed amount each year.

To know more about present value visit:

https://brainly.com/question/17322936

#SPJ11

3 hm 9 dam = ........... M​

Answers

Answer: 30m

Step-by-step explanation:

The 15th question pls​

The 15th question pls

Answers

The solution to the system of linear equations is x = 1, y = -3, and z = 8, which is option B: X=-1, y=-3, z=2.

How did we get the values?

To solve this system of linear equations, we can use Gaussian elimination, which involves adding and subtracting equations to eliminate variables. Here are the steps:

x - 3y - 2z = 6

2x - 4y - 3z = 8

-3x + 6y + 8z = -5

Step 1: Add twice the first equation to the second equation to eliminate x:

x - 3y - 2z = 6

4y + z = 20

-3x + 6y + 8z = -5

Step 2: Add three times the first equation to the third equation to eliminate x:

x - 3y - 2z = 6

4y + z = 20

9y + 2z = 13

Step 3: Solve for z in the second equation:

4y + z = 20

z = 20 - 4y

Step 4: Substitute z into the third equation and solve for y:

9y + 2z = 13

9y + 2(20 - 4y) = 13

y = -3

Step 5: Substitute y into the second equation and solve for z:

4y + z = 20

4(-3) + z = 20

z = 8

Step 6: Substitute y and z into the first equation and solve for x:

x - 3y - 2z = 6

x - 3(-3) - 2(8) = 6

x = 1

Therefore, the solution to the system of linear equations is x = 1, y = -3, and z = 8, which is option B: X=-1, y=-3, z=2.

learn more linear equation: https://brainly.com/question/28732353

#SPJ1

The text format of the question in the picture:

15. The solution the system of linear equation of

x-3y-2z = 6

2x-4y-3z = 8

(-3x+6y+8z = -5 is

A) X=-1,y=-3, z=-2 B) X=-1,y=-3, z=2 C) X=1,y=-3, z=2 D) X = 1, y = 3, z=-2

Find the shortest distance from point A to the given line.

y = 3x +1 ; A (3,0)

What is the shortest distance from point A to the line?

Answers

Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

Find the shortest distance from point A to the given line.y = 3x +1 ; A (3,0)What is the shortest distance

The area of a pool is 256π ft2. Find the distance around the pool in terms of pi.?

Answers

distance around the pool = circumference of pool

area = pi(r^2)
circumference = pi(d)

radius = sq root (256pi/pi)
= sq root (256)
= 16
diamater = 16 x 2
= 32
hence,
circumference = pi x 32
= 32pi

Franco read 3 over 8 of a chapter of his history book in 1 over 5 of an hour. At this rate, how many chapters of his history book can he read in 1 hour?.

Answers

Franco can read approximately 1.875 chapters of his history book in 1 hour, assuming his reading rate remains constant.

Franco read 3/8 of a chapter in 1/5 of an hour. To find out how many chapters he can read in 1 hour, we need to first determine his rate of reading.

To do this, we can set up a proportion:

3/8 of a chapter = x chapters
1/5 of an hour = 1 hour

Cross-multiplying, we get:

3/8 * 1 hour = x * 1/5

Simplifying:

3/8 = x/5

Cross-multiplying again:

15/8 = x

So Franco can read 15/8 or 1 7/8 chapters in 1 hour.

To know more about proportion Visit:

https://brainly.com/question/30657439

#SPJ11

What’s the answer for this question?

Whats the answer for this question?

Answers

Answer:

The value of x° = 23°

Step-by-step explanation:

Given the angles of the right-angled triangle

90°67°x°

We know that the sum of angles of a triangle is 360°.

so,

90° + 67° + x° = 180°

157° + x° = 180°

Subtracting 157° in both sides

157° + x° - 157° = 180° - 157°

x° = 23°

Therefore, the value of x° = 23°

53=y−47.4 pls help sssssssssss

Answers

Y=53+47.4 which equals 100.4 which means y=100.4

Answer:

5.6

Step-by-step explanation:

y = 53- 47.4=?

Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees. What is m∠ABC? a. m∠ABC = 60° b. m∠ABC = 67° c. m∠ABC = 120° d. m∠ABC = 127°

Answers

Triangle B C D is shown. Angle BDC is 67 degrees and Angle CDB is 60 degrees. What is m∠ABC is

d. m∠ABC = 127°

Any three points in Euclidean geometry that are not collinear result in a singular triangle and singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.In the Euclidean plane, all triangles are contained within a single plane; however, in higher-dimensional Euclidean spaces, this is no longer the case.We can use the exterior angle theorem to solve this problem.

The sum of the two opposite inner angles determines the triangle's outer angle.

Therefore, m∠ABC = mBDC + mCDB

m∠ABC = 67° + 60°

m∠ABC = 127°

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Other Questions
which pic you choose what was ron popeil net worth? the nurse is teaching a nutrition class about the importance of understanding nutrition labels. a student notices that food items with higher triglycerides seem to contain higher calories. which statement best explains why the calorie content appears higher? Citrus Scents produces body sprays. Variable selling and administrative expense is $1.05 per bottle and fixed selling and administrative expense is $4,500 per month. The company produced 1,490 bottles this month, and sold 1,203 of those bottles. Total selling and administrative expense for the month was(1.05 * 1,203) + 4,500 = 5,763.15(Variable selling and administrative expenses * units sold) + administrative expense A nurse is caring for a client who has streptococcal pharyngitis and an allergy to penicillin. The nurse should recognize that which of the following drugs can be safely administered to this client?Azithromycin/Erythromycin.Rationale: Azithromycin, a macrolide, is an acceptable alternative to penicillin for patients who have bacterial infections and are allergic to penicillin. The medication is effective against many gram-positive and gram-negative bacteria and is used for streptococcal pharyngitis.- Nafcillin and amoxicillin/clavulanic acid are penicillins and are contraindicated for those w/a penicillin allergy. Vancomuycin and clindamycin are safer alternatives.- A small percentage of clients who are allergic to penicillin have a cross sensitivity to cephalosporins. Cephalexin is a cephalosporin and is an inappropriate choice for the client. in what stage of kolb's experiential learning are you if you test what you have learned to assure that the learning is both valid and authentic? The rate of interest on money held in a savings account, _______ the amount of money saved.a.decreasesc.has no effectb.increasesd.none of the abovePlease select the best answer from the choices providedABCD what is 2(x+5) f(x) = -7x - 1f() = -8 Selest bre 14. A tas increbee en eoneuner incortie 6. A raduction in tases for businesses that increase irrotrient. d. A occrease in military spending i need a essaymy dream house i will give brainliest For a hyperactive, manic client who exhibits flight of ideas, which rationale explains why the client is not eating?A. Feels undeserving of the foodB. Is too busy to take time to eatC. Wishes to avoid others in the dining areaD. Believes that the food is poisoned How many times does 37 go in 2331 with a remainder What method could be used to prove the triangle congruent? discuss types of reports that may be provided for a nonpublic company for specified elements, accounts, and items of financial statements. T/F the current texas constitution has been amended more than 400 times. Questions A and B included in the photo C) determine the shape of the probability distribution of x (left skewed, right skewed, symmetric, uniform) D) find the mean number of aces drawn when three cards are randomly selected E) find the standard deviation for the number of aces drawn when three cards are randomly selected F) find the probability of drawing one or less aces When was the North Node in Aries? Write an essay of at least 750 words that analyzes the relationship to the entirety of "Young Goodman Brown" to a short passage (no longer than two paragraphs) of your choice from the beginning, middle, or end of the story. Explain how the passage relates to the author's development of theme, characters, or plot.Use details from the story to support your thesis. After completing each step of the writing process, revise your essay, paying close attention to clarity, transitions, and conventions. You should also follow MLA guidelines for in-text citations and a works cited page. I need help on this one. I'm not smart