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B is the midpoint of line AC. AB=x+6 and AC=3x-31. What is the length of line BC

1 Answer

9 votes

Answer:

BC = 49

Explanation:

Since B is the midpoint, AB is half of AC & AB equals to BC

3x-31 = 2(x+6) >> distribute 2 (AB is doubled here since AB=BC)

3x-31 = 2x+12 >> add 31 to both sides

3x = 2x+43 >> subtract 2x from both sides to get x alone

x = 43

AB=BC so you can use AB's equation

BC = x + 6

BC = (43) + 6

BC = 49

User Balu K
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