Identify the correct statement for the given figure.
Question 14 options:

A)

(5x)° + (2x + 7)° = 90°

B)

90° + (2x + 7)° = (5x)°

C)

(5x)° + (2x + 7)° = 180°

D)

(5x)° = (2x + 7)°

Given:

CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'.

To find:

The measure of side E'F'.

Solution:

If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.

CDEF is dilated by a scale factor of [tex]\dfrac{3}{4}[/tex] to form the quadrilateral C'D'E'F'. So,

[tex]E'F'=\dfrac{3}{4}\times EF[/tex]

From the given figure it is clear that [tex]EF=12[/tex]. So,

[tex]E'F'=\dfrac{3}{4}\times 12[/tex]

[tex]E'F'=9[/tex]

Therefore, the measure of side E'F' is 9 units.

Answer:

[tex]r=\dfrac{2}{3}\ yards[/tex]

Step-by-step explanation:

Given that,

The volume of a sphere is, [tex]V=\dfrac{32}{81}\pi[/tex] cubic yards

We need to find the radius of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^2[/tex]

Put all the values,

[tex]\dfrac{32}{81}\pi=\dfrac{4}{3}\pi r^3\\\\r^3=\dfrac{8}{27}\\\\r=\dfrac{2}{3}\ yards[/tex]

So, the radius of the sphere is equal to [tex]\dfrac{2}{3}\ yards[/tex].

Answer:

1/6, 3/7, 2/3, 4/5

Step-by-step explanation:

Answer:

Solve each inequality and combine solutions:

Combination of the two is:

or

Answer: <0<x<10/3

Step-by-step explanation:

answer:

$14

step-by-step explanation:

the formula for simple interest is-

i=prt

meaning interest=principal (the starting amount of money) * rate * time

=200*0.01*7

(we have to turn 1% into a decimal so 1/100=0.01)

=14

i=14

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

After 7 years and a 1% interest rate, Brendan will have a total of 214$.

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given, Brendan has $200 in a saving account with a 1% interest rate.

The simple interest is given as

Interest = (PRT/100)

where

P = Amount deposited = 2,00

R = Rate = 1%

T= Time = 7 years

Interest = (PRT/100)

Interest = (200 × 7 × 1/100)

Interest = 14

Total amount = SI + principal amount

Total amount = 14 + 200 = 214

Therefore, Brendan will have 214 $ after 7 years and a 1% interest rate.

Learn more about simple interests here:

https://brainly.com/question/29210957

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Answer: Tom has run 9 miles so far

Step-by-step explanation:

3/4 of 12 if equal to 9

Answer:

9 miles

Step-by-step explanation:

3 is 25 percent of 12.

to figure out how much he runs in 755 of two miles you multiply 3x3=9.

Answer:

x=5

Step-by-step explanation:

2(x-1)=x+3

x=5

(5-1)=4

4*2=8

5+3=8

ANSWER 5

Have a great day!

Answer:

1232 ft

Step-by-step explanation:

Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.  

The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.

Answer: 3 3+ 2−+3

Step-by-step explanation:

Answer:

21 students ride the bus

Answer:

Step-by-step explanation:

street never meet

Answer:

Theatre A has the greatest percent

9514 1404 393

Answer:

  11

Step-by-step explanation:

X'Y' = 2XY . . . . lengths are related by the dilation factor

22 = 2XY . . . substitute the given value

11 = XY . . . . . divide by 2

The measure of side XY is 11.

Answer:

$900

Step-by-step explanation:

$180 divided by 0.20 is $900

A percentage is a way to describe a part of a whole. The original cost of the laptop is $900.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the original cost of the laptop be represented by x.

Given that you saved $180 on your new laptop, which is a 20% saving from the original price. Therefore, the percentage can be written as,

20% of original price = $180

(20/100) × x = $180

x = ($180×100)/20

x = $900

Hence, the original cost of the laptop is $900.

Learn more about Percentages here:

https://brainly.com/question/6972121

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Answer:

Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all  the way up to the U. I hope this helps!

Answer:

The area would be 15.75 feet squared!

(4+5/2)(3.5) = 15.75

Answer:

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply

Step-by-step explanation:

Given

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

Required

Identify the demand and the supply equation.

To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.

For (1):

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

We have: Price and Income

For (2):

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

We have: Price and Rainfall

In (1), price and income determines the demand of a product.

Hence, (1) represents the demand equation

In (2), price and weather condition (rainfall) determines the supply of a product.

Hence, (2) represents the supply equation.

Answer:

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Answer:

2 x 2 x 11 or 2^2 x 11

Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.26

Answer:

First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.

This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!

Step-by-step explanation:

Answer:

Consider matrix A.

What is the inverse of A? Fill in the missing elements in the matrixs.

Step-by-step explanation:

Consider matrix A.

What is the inverse of A? Fill in the missing elements in the matrixs.

Answer:

Hello! Your answer would be, 600

Step-by-step explanation:

if we start backwards, the value of 6 in 6000 is equal to 1/1000. If you want to find what is 10 times that, multiply 1/1000 with ten and you get 1/100. That is equal to 6/600. The value of 6 is 600.

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Answer:

[tex]x^{3} - x^{2} - 7x -2[/tex]

Step-by-step explanation:

Give me brainllest

Answer:

[tex] {x}^{3} - {x}^{2} - 7x - 2[/tex]

Step-by-step explanation:

[tex](x + 2)( {x}^{2} - 3x - 1)[/tex]

Multiply the first term.

[tex]x \times {x}^{2} = {x}^{3} [/tex]

Multiply x by everything on the right, dont do x squared we already done that.

[tex]x \times - 3x = - 3 {x}^{2} [/tex]

[tex]x \times - 1 = - x[/tex]

Multiply 2 by everything on the left expect -1. ( that our next step).

[tex]2 \times {x}^{2} = 2 {x}^{2} [/tex]

[tex]2 \times - 3x = - 6x[/tex]

Multiply the last term, 2 and -1.

[tex]2 \times - 1 = - 2[/tex]

Add like with like.

[tex] {x}^{3} - {x}^{2} - 7x - 2[/tex]

Answer:

5.35x10^3

Step-by-step explanation:

Answer:

thats absolutely right

Answer:

huh?

Step-by-step explanation:

did you forget a pic?