Can someone help me with thisin the diagram shown it is know that A, B and C are collinear with m∠CBD = 55° , m∠DBE = 3x - 5 and m∠ABE = 4x - 10 (a) algebraically determine the value of x(b) does BE bisect ∠EBC Justify your response

Answer:

B  f'(x) = 2x

Step-by-step explanation:

Answer:

x = -25 / 3

Step-by-step explanation:

10 / 3 = x / (-5/2)

10 / 3 * (-5 / 2) = x

x = -50 / 6

x = -25 / 3

Answer:

\(x=\frac{-25}{3}\)

Step-by-step explanation:

\(\frac{10}{3}=\frac{x}{\frac{-5}{2} } \\\\\frac{-5}{2}*\frac{10}{3}=\frac{x}{\frac{-5}{2} }*\frac{-5}{2} \\\\\frac{-25}{3} =x\\\\x=\frac{-25}{3}\)

The two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

The unit circle is rotationally symmetric, meaning that any angle of rotation on the unit circle will take a point to another point on the unit circle with the same distance from the origin. This means that if we rotate point A by 7π/6 radians, we can also rotate it by 19π/6 or 31π/6 radians and end up at the same point B.

The point A has polar coordinates (1, 0). This means that it is located at a distance of 1 unit from the origin and has an angle of 0 radians with the positive x-axis.

The point B has polar coordinates (√3/2, 1/2). This means that it is located at a distance of √3/2 units from the origin and has an angle of 7π/6 radians with the positive x-axis.

If we rotate point A by 19π/6 radians, we get a point with polar coordinates (√3/2, -1/2). This point is located at the same distance from the origin as point B and has the same angle with the positive x-axis.

Therefore, the two other positive angles of rotation that take A to B are 19π/6 and 31π/6.

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Answer: 11 × x = 8x + 9

Step-by-step explanation:

We know that z varies directly as √√x and inversely as y, which can be written as:

z = k(√√x)/y

where k is the constant of proportionality.

To find the value of k, we can use the values given when x = 25 and y = 7:

179 = k(√√25)/7

179 = k(5/7)

k = (179*7)/5

k = 250.6

Now we can use this value of k to find z when x = 64 and y = 4:

z = 250.6(√√64)/4

z = 250.6(2)/4

z = 125.3

Therefore, z ≈ 125.3 when x = 64 and y = 4.

Answer:

1,600

Step-by-step explanation:

I did a bit of guessing becuase I don't know the exact way to reverse the formula, but here is what I did!

I guessed around 1,550 at first, but it was too low. I kept increasing the base number until I reached 1,600, and came to the conclusion by doing the equation;

1,600(0.6)=960

Then, since it increases each month by 60% of the previous month's value, you do

1,600+960=2,560

Answer:

Division

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiplecation

Division

Addition

Subtraction

You have both exponents and parenthesis, so your third step would be multiplecation, but you don't have that, so it would be division.

Answer:

y = 1/10x - 5/2

Step-by-step explanation:

I think you mean perpendicular to the line y = -10x + 7, and the point is (5, -2).

The slopes of perpendicular lines are negative reciprocals, so the perpendicular line has slope 1/10.

y = mx + b

y = (1/10)x + b

-2 = (1/10)(5) + b

-2 = 1/2 + b

-5/2 = b

y = 1/10x - 5/2

Answer:

I’m not 100% sure but I think 120°.

Step-by-step explanation:

This is because, angles on a straight line add up to 180°. Because there is 60 degrees on one side of line B, this means the other section is 120° (120°+60°=180°) The angle labelled (3x) is alternate to the angle of 120°. Alternate angles are always equal, meaning that 3x is equal to 120°.

I hope this is right.

Answer:

1:4

Step-by-step explanation:

Answer:

1 : 4

Step-by-step explanation:

5:20

Divide each side by 5

5/5 : 20/5

1 : 4

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

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Answer:

\( \displaystyle C = 12\)

Step-by-step explanation:

remember circumference formula

\( \displaystyle C = 2\pi r\)

given that,r=2 thus substitute:

\( \displaystyle C = 2\pi .2\)

simplify mutilation:

\( \displaystyle C = 4\pi \)

substitute the given value of π:

\( \displaystyle C = 4.3\)

simplify multiplication:

\( \displaystyle C = 12\)

and we are done!

Answer:

C = 12.

Step-by-step explanation:

Given :-

To find :-

Formula for finding circumference of circle;

Circumference of circle = 2 × π × radius.

Solution :-

Circumference of circle = 2 × π × radius.

Circumference of circle = 2 × π × 2

Circumference of circle = 4 π.

Circumference of circle = 4 × 3

Circumference of circle = 12

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

Hey there!

\(Answer:\boxed{20.95}\)

\(Explanation:\)

To find the answer, we can add up the time from both people.

\(20.7(20.70)+0.25=20.95\)

\(\boxed{20.95}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a specific area. By assessing the population, we can determine the number of organisms and the appropriate course of action. For instance, if we are aware of a city's exact population, we may estimate how many resources are required there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]^2

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]^2 = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

The population is the total number of people who reside in a certain area. We can figure out how many organisms there are and what the best course of action is by looking at the population. For example, if we are aware of a city's exact population, we may calculate the amount of resources needed there.

To calculate the sample size required to estimate a population mean with a certain level of confidence and margin of error, we can use the following formula:

n = [(z*σ)/E]²

Where:

n = sample size

z = the z-score associated with the desired level of confidence (90% confidence corresponds to z = 1.645)

σ = the population standard deviation

E = the desired margin of error (in this case, E = 1)

Substituting the given values into the formula, we get:

n = [(1.645*5)/1]² = 67.65

Rounding up to the nearest whole number, we get a sample size of n = 68.

Therefore, a sample size of 68 is required to estimate the population mean with 90% confidence and a margin of error of 1, based on the given information.

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Answer:

5/9 = 25/45

Step-by-step explanation

multiply 5/9 by 5/5 this will turn it into 25/45

5x5=25

5x9=45

Answer:

X=6.195

Attached please find equation.

Step-by-step explanation:

Let 1+i∗=(1+i)4 so that the calculation using annuity

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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Answer: -2

Step-by-step explanation:

The slope of the line perpendicular to another slope is the opposite sign and flipped(reciprocal)

The slope of the line = 1/2

So the perpendicular slope = -2

Answer: Everyone in your population must have an equal, non-zero chance of being selected. (In other words, everyone has an equal chance of receiving a survey.) You must know, specifically, what that chance of being selected is for each person.

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

7lm - 21lmn

taking common 7lm

7lm(1-3n)

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q