Answer:
x=3
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are similar
In this problem we have that
Triangle PQR is similar to Triangle PUV
so
[tex]\frac{PQ}{PU}=\frac{PR}{PV}[/tex]
substitute the given values
[tex]\frac{36}{24}=\frac{-3+9x}{16}[/tex]
[tex]\frac{36}{24}(16)=-3+9x[/tex]
[tex]24=-3+9x\\9x=24+3\\9x=27\\x=3[/tex]
