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GenaCL600 [577]
2 years ago
6

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

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
8 0

Answer:

x = 12

Step-by-step explanation:

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

VY = \frac{EF+CD}{2} , then

3x + 18 = \frac{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

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