Question

if ac = 11x + 25 and ab = 5x + 18, then bc =?

Explanation:

Step1: Use segment - addition postulate

We know that $AC=AB + BC$. So, $BC=AC - AB$.

Step2: Substitute the given expressions

Substitute $AC = 11x+25$ and $AB = 5x + 18$ into the formula $BC=AC - AB$. Then $BC=(11x + 25)-(5x + 18)$.

Step3: Simplify the expression

\[

$$\begin{align*} BC&=11x+25 - 5x-18\\ &=(11x-5x)+(25 - 18)\\ &=6x + 7 \end{align*}$$

\]

Answer:

$6x + 7$