Question

a, b, and c are collinear. b is between a and c. 14) find bc if bc = x - 8, ac = 2x - 8, and ab = 12. the value of x is type your answer... the length of bc is type your answer.

Explanation:

Step1: Apply collinear segment sum

$AC = AB + BC$

Step2: Substitute given expressions

$2x - 8 = 12 + (x - 8)$

Step3: Simplify right side

$2x - 8 = x + 4$

Step4: Solve for x

$x = 12$

Step5: Calculate BC length

$BC = 12 - 8 = 4$

Answer:

The value of x is 12
The length of BC is 4