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07-02-2021
Mathematics

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If MNOP is an isosceles trapezoid, MP = 16x - 13, NO = 9x + 8, PN = 5y + 19, and
MO = 12y - 37
What is the measure of segment NP?

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07-02-2021

Answer:

59

Step-by-step explanation:

The diagonals of an isosceles trapezoid are equal.

MO and NP are diagonals. Therefore MO = NP

12y - 37 = 5y + 19

7y = 56

y = 8

MO = 12(8) - 37 = 96 - 37 = 59

NP = 5(8) + 19 = 40 + 19 = 59

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