3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then
find AB
1 answer:
Answer:
AB = 8
Step-by-step explanation:
A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB
Step 1
Find x
BC = AB + AC
8x + 5 = 2x + 4 + 3x + 7
Collect like terms
8x - 2x - 3x = +4 + 7 - 5
3x = 6
x = 2
Step 2
Find AB
= AB= 2x + 4
AB = 2(2) + 4
AB = 4 + 4
AB = 8
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