Question

Solve for the value of x

Answer 1

Answer:

x=9

Step-by-step explanation:

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

The small triangle can be written as $\frac{16}{20}$, and the large triangle can be written as $\frac{16+12}{20+2x-3} = \frac{28}{2x+17}$.

Set both proportions equal to each other.

$\frac{16}{20}=\frac{28}{2x+17}$

Cross multiply and solve for x.

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

32x+272=560

32x=288

x=9