Question

Find x.

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

Answer 1

10

Explanation:

Setup a proportional for similar triangles when finding lengths.

We have FG~MN and GH~N0.

Corresponding sides of similar triangles are proportional.

`(FG)/(MN)=(GH)/(NO)`

`(6)/(x)=(9)/(15)`

Cross-multiply:

`9x=6(15)`

Simplify right hand side:

`9x=90`

Divide both sides by 9:

`x=(90)/(9)`

Simplify right hand side:

`x=10`