Question

points a, b, and c are collinear. point b is between a and c. solve for x if: ac = 22, bc = x + 14, ab = x + 10

Explanation:

Step1: Use segment addition postulate

Since \( B \) is between \( A \) and \( C \), \( AB + BC = AC \). Substitute the given expressions: \((x + 10) + (x + 14) = 22\).

Step2: Simplify the equation

Combine like terms: \( 2x + 24 = 22 \).

Step3: Solve for \( x \)

Subtract 24 from both sides: \( 2x = 22 - 24 = -2 \). Divide by 2: \( x = \frac{-2}{2} = -1 \).

Answer:

\( -1 \)