Given the median QR and trapezoid MOPN, what is the value of x?
1 answer:
Answer:
D. 5
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
QR = ½(OP + MN)
Substitute
27 = ½((5x - 7) + (6x + 6))
27 = ½(5x - 7 + 6x + 6)
Add like terms
27 = ½(11x - 1)
Multiply both sides by 2
2*27 = 11x - 1
54 = 11x - 1
54 + 1 = 11x
55 = 11x
55/11 = x
5 = x
x = 5
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