Question

Solve for the value of x

Answer 1

x=9

Explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as
`(16)/(20)`, and the large triangle can be written as
`(16+12)/(20+2x-3) = (28)/(2x+17)`.

Set both proportions equal to each other.

`(16)/(20)=(28)/(2x+17)`

Cross multiply and solve for x.

`16(2x+17)=(28)(20)`

32x+272=560

32x=288

x=9