Find the length of YZ if Y is between X and Z Given: XY = 8a, YZ = 6a, XZ = 2a + 50

asked Mar 6, 2023 232k views

1 vote

Find the length of YZ if Y is between X and Z

Given: XY = 8a, YZ = 6a, XZ = 2a + 50

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5 votes

Answer:

Explanation:

By the segment addition postulate,

$XY+YZ=XZ \\ \\ 8a+6a=2a+50 \\ \\ 14a=2a+50 \\ \\ 12a=50 \\ \\ a=(25)/(6) \\ \\ \therefore YZ=6(25/6)=25$

Kesarling answered Mar 12, 2023

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