Question #80740

Y is between X and Z. T is between Y and Z. If XZ = 90, YT = 22, and XY = TZ, what is XT?

Expert's answer

Answer on Question #80740 – Math – Geometry

Q8uestion

Y is between X and Z. T is between Y and Z. If XZ = 90, YT = 22, and XY = TZ, what is XT?


Solution

XZ=XY+YT+TZ;

XY=TZ.

Next,

90=XY+22+TZ;

XY+TZ=90-22;

XY+TZ=68;

XY=TZ=68/2=34;

XT=XY+YT=34+22=56.

Answer: XT=56.

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