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Segment VY is a midsegment of trapezoid FEDC. Find x.

Segment VY is a midsegment of trapezoid FEDC. Find x.-example-1
User Lozzajp
by
2.6k points

1 Answer

13 votes
13 votes

Answer:

x = 12

Explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY =
(EF+CD)/(2) , then

3x + 18 =
(1)/(2) (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

User Ankur Gupta
by
2.4k points