Math Hw Questions

Question

Point B is on line segment AC‾AC. Given AB=4x−6,AB=4x−6, AC=2x+10,AC=2x+10, and BC=4,BC=4, determine the numerical length of AC‾.AC.

Answer 1

Hello Riley,

Since Point B is on Line Segment AC, it follows by the Segment Addition Postulate: AB + BC = AC

By the substitution rule, we have that (4x - 6) + 4 = 2x + 10. Solving this equation for x will yield x = 6.

Evaluate the expression for the length of segment AC, namely 2x + 10, using x = 6. Hence the length of AC is 22.

I expect you to solve the equation to demonstrate x = 6 and evaluate for the length of AC accordingly.

Good luck.