find the scale factor from DEF to ABC

The measure of angle AOB is 180°.

Since COE and BOD are right angles, the measure of both angles is 90°.

The measure of COD is 1/4th of the measure of BOC, which is 90°. Therefore, the measure of COD is 90/4 = 22.5°.

Adding the measures of all three angles gives us 180°.

Therefore, the measure of AOB = 180 - (90 + 22.5) = 67.5°

Answer:

subsidiaries hi sus

Step-by-step explanation:

scientific 2 is the answer

The correct statement regarding the minimum value of the quadratic functions is given as follows:

D) The graphed function has a lower minimum value.

From the graph, the minimum value of the quadratic function is given as follows:

y = -8.

The algebraic function is defined as follows:

f(x) = 0.25x² - 2x.

Hence the coefficients are given as follows:

a = 0.25 and b = -2.

The x-coordinate of the vertex is given as follows:

x = -b/2a

x = 2/0.5

x = 4.

Then the y-coordinate of the vertex, representing the minimum value, is given as follows:

f(4) = 0.25(4)² - 2(4)

f(4) = -4 -> meaning that the graphed function has a lower minimum value.

The graph is given by the image presented at the end of the answer.

More can be learned about quadratic functions at brainly.com/question/31895757

#SPJ1

Answer:

Hypothesis test conclusion , average salary  ≠ 15

Step-by-step explanation:

Null Hypothesis [H0] : Average Salary = 15  

Alternate Hypothesis [H1] : Average Salary ≠ 15

t = (x bar - μ) ÷ (s / √[n])

Sample Mean [x bar] = 16 , Population Mean [μ] = 15 , Standard Deviation [s] = 2.80 , [Sample number] n = 30

t = (16 - 15) / (2.80 / 5.47)

t = 1 / 0.5

t = 2

As calculated value ie 2 > tabulated critical value ie 1.96 , at significance level 0.05. So, we reject the Null Hypothesis.

Hence, as per Alternate Hypothesis, average salary  ≠ 15

Answer: \(m\angle BAM=30^{\circ}\)

Step-by-step explanation:

\(AD=x\sqrt{3}\) (Pythagorean theorem)

\(m\angle ACD=60^{\circ}\) (30-60-90 triangle)

\(m\angle MCA=30^{\circ}\) (angle subtraction)

\(m\angle MAC=30^{\circ}\) (base angles theorem)

\(m\angle CAD=30^{\circ}\) (30-60-90 triangle)

\(m\angle BAM=30^{\circ}\) (angle subtraction)

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

From the question, we have the following parameters that can be used in our computation:

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

Read more about expression at

https://brainly.com/question/31819389

#SPJ1

Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

6.24 x \(10^{-7}\)

Step-by-step explanation:

0.000000624 in scientific notation is 6.24 x \(10^{-7}\)

Answer:

Step-by-step explanation:

The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.

Answer:

\(Volume = 314500cm^3\)

Step-by-step explanation:

Given

\(Length = 125cm\)

\(Width = 37cm\)

\(Height = 68cm\)

Required

Determine the volume

Volume is calculated as:

\(Volume = Length * Width * Height\)

Substitute values for Length, Width and Height

\(Volume = 125cm * 37cm * 68cm\)

\(Volume = 314500cm^3\)

Hence, the volume of the box is \(314500cm^3\)

Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

Step-by-step explanation:

b = 44

When parallel lines is cut by a transversal, alternate exterior angles are congruent

Answer:

144 km

Step-by-step explanation:

Answer:

298.5 cm^2.

Step-by-step explanation:

The area of the triangular base

= 1/2 * base * height

= 1/2 * 10 * 8.7 cm^2

There are 3 other triangular sides all withe the same area and each of them as area = 1/2 * 10 * 17

So the total surface area of the pyramid

= 1/2 * 10 * 8.7 + 3 * 1/2 * 10 * 17

= 5 * 8.7 + 3 * 85

= 298.5 cm^2.

According to the solving If the room's width is 6 meter's, then its length must be 10 meter's.

Distance is measured by length. The quantity of length has the dimension of distance there in International System of Quantities. Most measurement systems choose a base unit for length from which all subsequent units are derived. The metre serves as the fundamental unit of length in the International System of Units.

If you have an area A and a width w, you can calculate the length w by using the formula h = A/w. Its length can indeed be calculated using the formula h = P/2w if you know its perimeter (P) and width (W). If you have the width w and the diagonal

According to the give information:

Let length be x By Given Condition

5/3=x/6

x=5/3*6

x=30/3=10

Therefore length of room is 10.

To know more about length visit:

brainly.com/question/8552546

#SPJ1

Answer:

The third one Edg

Step-by-step explanation: Brainlest plzzz

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

To know more about vertices, visit:
https://brainly.com/question/24877689
#SPJ1

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

The shape represents an isosceles trapezoid

The value of CP is 1.1 units

The given parameters are:

The diagonals of an isosceles trapezoid are congruent.

This means that:

\(CA = BD = 2.8\)

Also, we have:

\(CA = CP + AP\)

Substitute values for CA and AP

\(CP + 1.7 = 2.8\)

Subtract 1.7 from both sides

\(CP = 1.1\)

Hence, the value of CP is 1.1 units

Read more about isosceles trapezoid at:

https://brainly.com/question/4758162

Answer:

Quick Stop -

3 apples = $1.29

1 apple = $0.43

Shop -

5 apples = 2.45

1 apple = 0.49

So the quick stop is better!

Answer:

\(h(x) = 80x^2 + 560x\)

Step-by-step explanation:

To find the function h(x), that represents the total number of seats, we just need to multiply the functions f(x) (number of rows) and g(x) (number of seats per row):

\(h(x) = f(x) * g(x)\)

\(h(x) = 80x * (x+7)\)

\(h(x) = 80x*x + 80x*7\)

\(h(x) = 80x^2 + 560x\)

So the function that represents the total number of seats is:

\(h(x) = 80x^2 + 560x\)

Answer: A

Step-by-step explanation:

The fraction of their money remains for other expenses each month is 5/12.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

Williams spend 1/3 of their total monthly income for rent and 1/4 for food.

The fraction of their money remains for other expenses each month,

= 1 - 1/3 - 1/4

= 5/12

Therefore, 5/12 is the remaining money.

To learn more about the fractions;

https://brainly.com/question/10354322

#SPJ1

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

(a) Not confident.

(b) Confident A would win.

(c) Confident A would win.

(d) Not confident.

Step-by-step explanation:

In order for us t be confident that Candidate A will win, Candidate A's percentage minus the margin of error must be higher than Candidate B's plus the margin of error.

(a)

\(A = 54\%-5\%=49\%\\B = 46\%+5\%=51\%\)

Not confident.

(b)

\(A = 52\%-1\%=51\%\\B = 48\%+1\%=49\%\)

Confident A would win.

(c)

\(A = 53\%-3\%=51\%\\B = 47\%+2\%=49\%\)

Confident A would win.

(d)

\(A = 58\%-10\%=48\%\\B = 42\%+10\%=52\%\)

Not confident.

3²×3^-5

Multiply the terms with the same base by adding their exponents

3²-5

Calculate the differences

3^-³

Express with a positive exponent using  a ^-n =1/n

                                                                             a

1/3³

Write the exponentiation as a multiplication

3×3×3

Multiply the numbers

27

Answer is 1/27

Answer:

Decreasing Interval

Step-by-step explanation:

Answer:

\(Probability = 0.50\)

Step-by-step explanation:

Given

\(Probability = 50\ 50\ chance\)  

\(Successful\ Bids = 80\%\)

\(Unsuccessful\ Bids = 35\%\)

Required

Determine the probability before the request of past experience

In this case, we only consider the 50 50 chance probability

\(Probability = \frac{50}{50 + 50}\)

\(Probability = \frac{50}{100}\)

\(Probability = 0.50\)

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

Learn more about ratios and fractions here:

https://brainly.com/question/2328454

#SPJ1

Answer:

Thanks

Step-by-step explanation:

Thanks

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees