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lubasha [3.4K]
3 years ago
14

Given the median QR and trapezoid MOPN, what is the value of x?

Mathematics
2 answers:
Effectus [21]3 years ago
8 0

As QR is the median of trapezoid MOPN,

QR = \frac{QP + MN}{2}\\\\27 = \frac{5x - 7 + 6x + 6}{2}\\\\27 = \frac{11x - 1}{2}\\\\Cross  multiply\\27 \times 2 = 11x - 1\\\\54 = 11x - 1\\\\Add  1  on both sides  \\54 + 1 = 11x -1 + 1\\55 = 11x\\\\Divide both side by 11\\\frac{55}{11} = \frac{11x}{11}\\\\x = 5

Option D is the answer

Liono4ka [1.6K]3 years ago
5 0
A yoooooo its 5 dude
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Let the length of rectangle=x

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Perimeter is 2(Length+Width)

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