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What is the value of X as a decimal

What is the value of X as a decimal-example-1

1 Answer

3 votes

Answer:

x = 54.6m

Explanation:

ΔMAB and ΔMNP are similar. Therefore the sides are in proportion:


(MA)/(MN)=(MB)/(MP)

We have


MA=80.5m-35m=45.5m\\MN=80.5m\\MB=x\\MP=96.6m

Substitute:


(45.5)/(80.5)=(x)/(96.6) cross multiply


80.5x=(45.5)(96.6)


80.5x=4395.3 divide both sides by 80.5


x=54.6

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