Q21: Points x,y,and z are on

October 15, 2026

2018 Test B Math · Question 21 of 57

Points $X$ , $Y$ , and $Z$ are on a straight line, and $Y$ is between $X$ and $Z$ . Length $\overline{YZ}=\frac{3}{5}\overline{XY}$ , and length $\overline{XY}=20$ centimeters. What is the length of $\overline{XZ}$ ?

A12 cm
B24 cm
C30 cm
D32 cm

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Correct answer: D

Since $overline{XY}=20$ cm, use that to find $overline{YZ}$ :

$overline{YZ}=frac{3}{5}overline{XY}$

$overline{YZ}=frac{3}{5}(20)$

$overline{YZ}=12$

$overline{XZ}=overline{XY}+overline{YZ}$

$overline{XZ}=20+12$

$overline{XZ}=32$