3 years ago

B is the midpoint of A . If AB = x+5 and BC =2x-11, find the measure of AB

Mathematics

1 answer:

nignag [31]3 years ago

6 0

If B is the midpoint of AC, then AB = BC.

We have AB = x + 5 and BC = 2x - 11.

Therefore we have the equation:

x + 5 = 2x - 11 <em>subtract 5 from both sides</em>

x = 2x - 16 <em>subtract 2x from both sides</em>

-x = -16 <em>change the signs</em>

x = 16

Put the value of x to the expression x + 5:

AB = 16 + 5 = 21

<h3>Answer: AB = 21</h3>

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