Question

point b lies between points a and c on $overline{ac}$. let $x$ represent the length of segment ab in inches. use the segment to complete the statements. the value of $x$ is <. the length of $overline{ab}$ in inches is <. the length of $overline{bc}$ in inches is <.

Explanation:

Step1: Set up equation

Since $AB + BC=AC$, we have $x + 3x=20$.

Step2: Combine like - terms

$4x = 20$.

Step3: Solve for x

$x=\frac{20}{4}=5$.

Answer:

The value of $x$ is 5. The length of $AB$ in inches is 5. The length of $BC$ in inches is 15.