Question

segment addition. a, b, and c are all on the same line. point b is between point a and point c. ac is equal to 13, ab is equal to 2x - 1, and bc is equal to 3x - 6. solve for x, then find the value of ab. fill in the blank. 3 points. the value of x is type your answer... previous

Explanation:

Step1: Apply segment addition

$AC = AB + BC$

Step2: Substitute given values

$13 = (2x - 1) + (3x - 6)$

Step3: Combine like terms

$13 = 5x - 7$

Step4: Solve for x

$5x = 20 \implies x = 4$

Answer:

4