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EF is a median of trapezoid ABCD. What is the value of x?

EF is a median of trapezoid ABCD. What is the value of x?-example-1
User KiuQ
by
6.8k points

1 Answer

2 votes

Answer:

x = 4

Explanation:

The midsegment ( median is equal to half the sum of the parallel bases, that is


(AB+CD)/(2) = EF, substitute values


(4x-10+3x+8)/(2) = 13 ( multiply both sides by 2

7x - 2 = 26 ( add 2 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

User Sehrish Waheed
by
6.7k points
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