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If M is the midpoint of segment AB and AM=9x-5 and MB=15-x, what is the length of AB?

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Answer:

AB = 8x+10

Explanation:

If M is the midpoint of the segment AB, then AM+MB = AB. Given the following parameters;

AM=9x-5 and MB=15-x

Required parameter

segemnt AB

Substituting the given parameters into the given formula to get AB we will have;

AB = AM+MB

AB = 9x-5+15-x

collect like terms

AB = 9x-x-5+15

AB = 8x+10

Hence the length of segment AB is 8x+10

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