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expeople1 [14]
3 years ago
15

HELP ME Write and solve a proportion to find y.

Mathematics
1 answer:
Phoenix [80]3 years ago
6 0

Given:

A figure of dilation and the center of dilation is O.

To find:

The value of y.

Solution:

The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).

d'\propto d

d'=kd

\dfrac{d'}{d}=k

Where, k is the scale factor or constant of proportionality.

So, the scale factor for the given dilation is

k=\dfrac{OB'}{OB}

k=\dfrac{36}{16}

k=\dfrac{9}{4}

We know that,

k=\dfrac{\text{Side length of image}}{\text{Corresponding side length of original figure}}

\dfrac{9}{4}=\dfrac{A'C'}{AC}

\dfrac{9}{4}=\dfrac{27}{y}

9\times y=27\times 4

Divide both sides by 9.

y=\dfrac{27\times 4}{9}

y=3\times 4

y=12

Therefore, the value of y is 12.

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vivado [14]

Answer:

no solution

Step-by-step explanation:

Given

- v +5 + 6v = 1 + 5v + 3 ← combine like terms on both sides

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Hence the equation has no solution

8 0
3 years ago
Which of these is equal to the value of 9 – (–5)?
DerKrebs [107]
14.



Subtracting a negative number is like adding a positive number. So, you can change 9 - (-5) into 9 + 5, which is much simpler. Then, just add to get 14.



Please consider marking this answer as Brainliest to help me advance.
3 0
3 years ago
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What is the slope of the line shown below?
melisa1 [442]

Answer:

C. 2

Step-by-step explanation:

Gradient = \frac{change in y}{change in x}

Gradient = \frac{6}{3}

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7 0
2 years ago
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Mr. and Mrs. Lopez are putting square tiles on the floor in their bathroom.They can fit 6 rows of 4 tiles in the bathroom.How ma
Trava [24]
They can fit 24 tiles because 

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0v0 h e l p? <br><br> 3r/4=1/8 (solve for r)
agasfer [191]

Answer:

r = 1/6

Step-by-step explanation:

\dfrac{3}{4}r=\dfrac{1}{8}\\\\\\

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Divide both sides by 3

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