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.
[tex]\frac{FG}{MN}=\frac{GH}{NO}[/tex]
[tex]\frac{6}{x}=\frac{9}{15}[/tex]
Cross-multiply:
[tex]9x=6(15)[/tex]
Simplify right hand side:
[tex]9x=90[/tex]
Divide both sides by 9:
[tex]x=\frac{90}{9}[/tex]
Simplify right hand side:
[tex]x=10[/tex]
