Question

Oq is a diagonal of quadrilateral nopq. if noq=pqo, no = 5x + 12, and pq = 7x – 8, find the length of no for which nopq is a parallelogram.

a. 10
b. 24
c. 47
d. 62

Answer 1

Since it is a parallelogram, NO = PQ

5 x + 12 = 7 x - 8

12 + 8 = 7 x - 5 x

20 = 2 x

x = 20 : 2

x = 10

NO = 5 * 10 + 12 = 50 + 12 = 62

Answer: 62

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Answer 2

If quadrilateral NOPQ is a parallelogram then:
NO = PQ
5 x + 12 = 7 x - 8
12 + 8 = 7 x - 5 x
20 = 2 x
x = 20 : 2
x = 10
NO = 5 * 10 + 12 = 50 + 12 = 62
Answer: d. 62