Question

PLEASE HELP ME W THIS PROBLEM

Answer 1

Answer:   (G) 13.5 in

Step-by-step explanation:

Since ΔPQR ~ Δ XYZ , then the sides are proportional.

$\dfrac{PQ}{XY}=\dfrac{QR}{YZ}=\dfrac{PR}{XZ}\\\\.\qquad \rightarrow\ \dfrac{6}{9}=\dfrac{9}{XZ}\\\\\text{Cross multiply:}\ 6(XZ)=81\\\\\text{Solve for XZ:}\ XZ=\dfrac{81}{6} \rightarrow\ XZ=13.5$

Answer 2

1. Work out the scale factor that pqr has been increased by to get xyz
6/4=1.5 you can do the other side to check 9/6=1.5
That means the scale factor is 1.5
2. Work out xz
9x1.5=13.5 in
Therefore your answer is
G. 13.5 inches