Point B is between A and C On Line AC . Use the given information to write an equation in terms of x. Solve the equation. Then find AB and BC, and determine whether line AB and line BC are congruent.

Question

Point B is between A and C On Line AC .  Use the given information to write an equation in terms of x.  Solve the equation.  Then find AB and BC, and determine whether line AB and line BC are congruent.

anonymous · Answer

12.   AB= x+3            13. AB= 3x-7
        BC= 2x+1                BC= 3x-1
        AC = 10                   AC= 16

directrix · Answer

By the segment addition postulate,
x + 3 + 2x + 1 = 10
Solving for x, x = 2.
AB = 2 +3 = 5 and BC = 2*2+1 = 5.
Two segment with the same measure are congruent.

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