Question

Find x. A.8 B.10 C.10.5 D.12

Answer 1

Answer:

10

Step-by-step explanation:

Setup a proportional for similar triangles when finding lengths.

We have FG~MN and GH~N0.

Corresponding sides of similar triangles are proportional.

$\frac{FG}{MN}=\frac{GH}{NO}$

$\frac{6}{x}=\frac{9}{15}$

Cross-multiply:

$9x=6(15)$

Simplify right hand side:

$9x=90$

Divide both sides by 9:

$x=\frac{90}{9}$

Simplify right hand side:

$x=10$