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yulyashka [42]
3 years ago
5

HELP PLEASE! In this figure shown, EF is the mid segment of trapezoid ABCD. Find EF.

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

EF = ½(BC + AD) => Trapezoid Midsegment theorem

Substitute

5x + 4 = ½((4x + 1) + (7x + 5))

5x + 4 = ½(4x + 1 + 7x + 5)

Multiply both side by 2

2(5x + 4) = 4x + 1 + 7x + 5

10x + 8 = 4x + 1 + 7x + 5

10x + 8 = 11x + 6

Collect like terms

10x - 11x = -8 + 6

-x = -2

Divide both sides by -1

x = 2

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                           /  \
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                        /\     /\
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                /     /    /\     \    \
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