Question

point b is between A and C. if AC = 3x+3, BC = 2x-1, and AB = 11. Find the length of BC

Answer 1

Answer:  13

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Work Shown:

AB+BC = AC

(11) + (2x-1) = 3x+3

2x+10 = 3x+3

2x-3x = 3-10

-x = -7

x = 7

which is then use to find:

• BC = 2x-1 = 2*7-1 = 13
• AC = 3x+3 = 3*7+3 = 24

As a check,

AB+BC = 11+13 = 24 = AC which confirms the answer.