Question

draw a diagram, write an equation and find the answer(s). 22) q is the midpoint of $overline{sm}$. $sm = 46$ and $sq = 5x - 4$. find $x$ and $qm$.

Explanation:

Step1: Use mid - point property

Since Q is mid - point of SM, $SQ=\frac{SM}{2}$. Given $SM = 46$, then $SQ=\frac{46}{2}=23$.

Step2: Solve for x

Set $5x - 4=23$. Add 4 to both sides: $5x=23 + 4=27$. Divide both sides by 5: $x=\frac{27}{5}=5.4$.

Step3: Find QM

Since Q is mid - point, $QM = SQ$. So $QM = 23$.

Answer:

$x = 5.4$, $QM = 23$