U is the midpoint of line segment XY. if XU=6x-7 and UY=4x+9, find the value of x and the measure of XY.

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asked Mar 15, 2022 128k views

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U is the midpoint of line segment XY. if XU=6x-7 and UY=4x+9, find the value of x and the measure of XY.

Mathematics
college

Nisarg asked

by Nisarg

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Answer:

Since U is the midpoint of XY,
$XU = UY\\or, 6x-7 = 4x+9\\or, 6x - 4x = 7+9\\or, 2x = 16\\or, x = 8\\XY = XU +UY = 6x - 7 + 4x +9 = 10x+2 = 10(8) +2 = 82$

Nasik Ahd answered Mar 21, 2022

by Nasik Ahd

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