SOLUTION: Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)

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Question 1064923: Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Segment Addition Postulate:


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)
AB + BC = AC
2x - 3 + 7x – 10 = 32 ------- Substituting 2x - 3, 7x - 10, and 32, for AB, BC, and AC, respectively
9x – 13 = 32
9x = 32 + 13
9x = 45

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