Triangle ABC is transformed to triangle A′ B′ C′, as shown below:

Which equation shows the correct relationship between the measures of the angles of the two triangles?

a. The measure of angle ABC = The measure of angle A prime B prime C prime

b. The measure of angle ABC = The measure of angle B prime C prime A

c. The measure of angle BCA = The measure of angle A prime B prime C prime

d. The measure of angle BCA = The measure of angle C prime A prime B prime

i think its 2/3 but im not sure .

Answer:

D

Step-by-step explanation:

Parallel lines have same slope

Write the equation in slope - intercept form

2x + 3y =5

       3y = -2x + 5

Divide the equation by 3

    [tex]y = \frac{-2}{3}x +\frac{5}{3}[/tex]

So, slope = (-2/3)

Answer: y= 3

Step-by-step explanation:

Step 1: Add y to both sides.

y + 3 = −y + 9

+y +y

2y + 3 = 9

Step 2: Subtract 3 from both sides.

2y+3 = 9

-3 -3

2y = 6

Step 3: Divide both sides by 2.

2y   =    6

2     =   2

y= 3

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x     logₐx = n

log₂.₂₅2 = x

x = 0.85476

Answer:

16.5

Percentage Calculator: 33 is what percent of 200? = 16.5.

Answer:

D

the answer is D because when you multiply 3(8 + 3x), it will give you 24+9x

3(8 + 3x)  is not equivalent to 24 + 6x.

Option D expression is not equivalent to 24 + 6x.

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

According to the question

Expression is NOT equivalent to 24 + 6x

A . 2(3x + 12)

= 2(3x) + 2(12)

= 6x  + 24

= 24 + 6x

B. 28 + 4x – 4 + 2x

= (28 - 4) + (4x + 2x)

= 24 + 6x

C. 5x + 7 + x + 17

= (5x + x) + (7 + 17)

= 6x + 24

= 24 + 6x

D. 3(8 + 3x)

= 3(8x) + 3(3x)

= 24 + 9x

Hence, Option D is not equivalent to 24 + 6x.

3(8 + 3x)  is not equivalent to 24 + 6x.

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Answer:

it's C

Step-by-step explanation:

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Answer: true

Step-by-step explanation: cuz

Answer:

False

Step-by-step explanation:

Answer:

-2x+8=5x

8=7x

x=7/8

y=5x

y=5×7/8

y=35/8

Answer:

w=−112

Step-by-step explanation:

-34=-6+w/4

Simplify both sides of the equation.

−34=−6+ w /4

−34=−6+ 1 /4 w

−34= 1 /4 w−6

Flip the equation.

1 4/ w−6=−34

Add 6 to both sides.

1 /4 w−6+6=−34+6

1 /4 w=−28

Multiply both sides by 4.

w=−112

Answer:

w = - 112

Step-by-step explanation:

-34=-6+w/4

1. Add 6 on both sides

-34 + 6 = -6 + 6 + w/4

-28 = w/4

2. Multiply 4 on both sides since it's the opposite of dividing

-28 * 4= w/4 * 4

- 112 = w

Hope this helped!

Answer:

7k - 7

Step-by-step explanation:

-k - (-8k + 7)

= -k + 8k - 7

= 8k - k - 7

= 7k - 7

Answer:

-49

Step-by-step explanation:

you can first divide both sides by -6

so

-12 = y+37

so y = -12-37 = -49

Any amount of rotation will not change the angle between the two spokes. This is because each piece of the wheel moves in unison as the rotation is applied. Nothing changes about the wheel. Imagine instead of rotating the wheel, we instead rotated the camera that is capturing the wheel (or the person looking at the wheel rotates their head). This is a good way to see how the wheel itself isn't changing at all, but instead rather just the look of it is changing.

Answer:

we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Step-by-step explanation:

Population mean    μ₀  = 20

Sample data   18  23  24 44  19 27 23 26 25

Then:

Sample mean      μ   =  25,44

Sample standard deviation     s = 7,14

Sample size     n  =  9

Hypoyhesis test:

Null hypothesis                                H₀              μ   =   μ₀

Alternative hypothesis                   Hₐ               μ   >   μ₀

Significance level    α  = 0,05    CI = 95 %

We must develop a  t-student one-tail test  ( to the right ) as follows

t(c)  =  ??

degree of freedom    df = n - 1         df =  8      and    α = 0,05

Then from t-student table    t(c)  =  1, 8595

To calculate   t(s)  =  (  μ  -  μ₀  ) / s/√n

t(s)  =  ( 25,44  -  20 ) * √9 / 7,14

t(s)  = 5,44*3 / 7,14

t(s)  = 2,29

Comparing   t(c) and  t(s)

t(s)  >  t(c)

Then t(s) is in the rejection region   we reject H₀

We have enough evidence to claim that people in the sample are significantly  more satisfied than others in general population at 95 % of CI

Answer:

y inversely proportional to 1/x

y=4, x=16

4=k/16

k=64

find y when x=8

y=64/8

y=8

Answer:

A=pi x r^2

A= 3.14 x 9^2 feet

A= 3.14 x 81 feet^2

A= 254.34 ft^2

Answer:

4.625

Step-by-step explanation:

that is the answer

Answer:

0.30a + 0.50 (4+a) = 3.60

Step-by-step explanation:

Step-by-step explanation:

30x=21

x=21/30

x=7/3

x=0.7

so, its false

hope it may help you

Answer:

havenche ai polld pener es quanto

Step-by-step explanation:

Answer:

127.5

Step-by-step explanation:

0.25*170 then take away from 170

$127.5 was the sale price of the set of kitchen chairs.

Given:

Camille bought a set of kitchen chairs at discounted 25% off of the original price.

The original price of a set of kitchen chairs = $170

To find:

The sale price of the set of kitchen chairs.

Solution:

The original price of a set of kitchen chairs = O.P = $170

The percent of discount on the set of kitchen chairs = d% = 25%

The discount price on the set of kitchen chair= D

[tex]d\%=\frac{D}{O.P}\times 100\\25\%=\frac{D}{\$170}\times 100\\D=\frac{25\times \$170}{100}=\$42.5[/tex]

The sales price of a set of kitchen chairs = S.P

[tex]S.P=O.P-D\\=\$170-\$42.5=\$127.5[/tex]

$127.5 was the sale price of the set of kitchen chairs.

Learn more about the discount price here:

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Answer:

2 = 74

1 = 106

Step-by-step explanation:

none

Answer: It is 36

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

25% =1/4

if 1/4 of class is 60, the class have 60x4 students

Explanation:

[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]

**In this case, we want NON-NEGATIVE terms.

I am joyous to assist you at any time.

Answer:

7 employees

Step-by-step explanation:

Given that 10% are temporary .

So number of temporary employees will be 10% of 70 employees = 7employees ( Answer)

Answer:

The total cost = $90

Step-by-step explanation:

As, $75 is the cost of the meal

And tip is 20%

So 20% of $75 = 15

So, the tip = $15

So, total = Cost of meal + tip

= $75 + $15 = $90