210006822
Answered

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If Point B lies on segment AC, and AB = x + 6, BC = 3x – 4, and AC = 8x – 10. Solve for x.

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Answer: 5 = x

Step-by-step explanation: Since b is between a and c, the segment addition postulate says that

ab + bc = ac

Substituting the expressions into that equation we get:

(x + 6) + (3x - 2) = 6x - 6

Combining like terms and then solving we get:

4x + 4 = 6x - 6

4 = 2x - 6

10 = 2x

5 = x

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