Answer:
See below.
Step-by-step explanation:
Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{RP}{ZX}[/tex]
Part A:
We already know PQ, RP, XY, and YZ.
To find XZ, we can use the first and third proportions:
[tex]\frac{PQ}{XY} =\frac{RP}{ZX} \\=\frac{7.2}{18}=\frac{6.5}{ZX}[/tex]
Cross multiply:
[tex]117=7.2(ZX)\\ZX \text{ or } XZ = 16.25[/tex]
Part B:
The same thing as Part A, but with the first and second proportions:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}\\\frac{7.2}{18}=\frac{QR}{7}\\50.4=18(QR)\\QR=2.8[/tex]
