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PLEASE HELP ME W THIS PROBLEM

PLEASE HELP ME W THIS PROBLEM-example-1

2 Answers

2 votes
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
User Jed Bartlet
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6 votes

Answer: (G) 13.5 in

Explanation:

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


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


User Karolyn
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4.9k points