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 2 points. the value of ab is type your answer

Explanation:

Step1: Set up AC = AB + BC

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

Step2: Combine like terms

$5x - 7 = 13$

Step3: Solve for x

$5x = 20 \implies x = 4$

Step4: Calculate AB

$AB = 2(4) - 1 = 7$

Answer:

7