Question

Find scale factor, solve for x, and solve for y.

Answer 1

Part 1) The scale factor is 3

Part 2) The value of x is 36 in

Part 3) The value of y is 26 in

Explanation:

step 1

Find the scale factor

we know that

If two figures are similar then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

so

In this problem

Let

z-----> the scale factor

`z=(10+5)/5=3`

step 2

Find the value of x

To find the value of x, multiply the length of 12 by the scale factor

so

`x=(12)(3)=36\ in`

step 3

Find the value of y

we know that

`(13)(3)=13+y`

`y=39-13=26\ in`