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charle [14.2K]
2 years ago
11

AB is a midsegment of trapezoid DEFG what is x?

Mathematics
1 answer:
Mamont248 [21]2 years ago
5 0

Answer:

D. 2

Step-by-step explanation:

DEFG is a trapezoid and AB is its Midsegment.

Therefore,

AB =\frac{1}{2}(DG + EF)  \\  \\ 12 =  \frac{1}{2} (5x - 4 + 8x + 2) \\  \\ 12  \times 2= (13x - 2) \\  \\ 24 = 13x - 2 \\  \\ 24 + 2 = 13x \\  \\ 26 = 13x \\  \\ x =  \frac{26}{13}  \\  \\ x = 2

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