ACDF is a trapezoid and BE is a midsegment. X=?

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asked Feb 8, 2024 77.2k views

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FrogInABox · Answer 1 · 2024-02-13T10:54:08+0000

keeping in mind that the mid-segment of a trapezoid is simply half the sum of the parallel sides or "bases", Check the picture below.

$B E=\cfrac{C D+A F}{2}\implies 2x+10=\cfrac{18~~ + ~~(6x-12)}{2}\implies 4x+20=6x+6 \\\\\\ 20=2x+6\implies 14=2x\implies \cfrac{14}{2}=x\implies 7=x$

ACDF is a trapezoid and BE is a midsegment. X=?-example-1

ACDF is a trapezoid and BE is a midsegment. X=?

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