Question

11 fill in the blank 2 points a, b, and c are collinear. b is between a and c. 11) ac = 3x - 5, bc = 10, and ab = -7 + 2x. find ab. the value of x is type your answer... the length of ab is type your answer.

Explanation:

Step1: Apply segment addition postulate

$AC = AB + BC$

Step2: Substitute given values

$3x - 5 = (-7 + 2x) + 10$

Step3: Simplify right side

$3x - 5 = 2x + 3$

Step4: Solve for x

$x = 8$

Step5: Calculate AB

$AB = -7 + 2(8) = 9$

Answer:

The value of x is 8
The length of AB is 9