Question

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If AB = 4x + 9, BC = 5x + 2, and AC = 56, find the measure of AB and BC.

Answer 1

Explanation:

Given that

AB=4x+9

BC=5x+2

Then, AC=56

From vector

AC=AB+BC

Then,

56=4x+9+5x+2

56=9x+11

Subtract 11 from both sides

56-11=9x+11-11

45=9x

Divide both sides by 9

45/9=9x/9

5=x

Then, x=5

Now,

1. AB=4x+9, x=5

AB=4(5)+9

AB=20+9

AB=29

2. Also

BC=5x+2

BC=5(5)+2

BC=25+2

BC=27