Question

ANSWER QUESTIONS QUICKLY PLZZZZZZ ​

Answer 1

See below.

Explanation:

Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:

`(PQ)/(XY)=(QR)/(YZ)=(RP)/(ZX)`

Part A:

We already know PQ, RP, XY, and YZ.

To find XZ, we can use the first and third proportions:

`(PQ)/(XY) =(RP)/(ZX) \\=(7.2)/(18)=(6.5)/(ZX)`

Cross multiply:

`117=7.2(ZX)\\ZX \text{ or } XZ = 16.25`

Part B:

The same thing as Part A, but with the first and second proportions:

`(PQ)/(XY)=(QR)/(YZ)\\(7.2)/(18)=(QR)/(7)\\50.4=18(QR)\\QR=2.8`