Question

7x - 22 4x + 5

Explanation:

Step1: Identify equal - length sides

Since $RT$ is the perpendicular bisector of $QS$, then $RQ = RS$. So we set up the equation $7x−22 = 4x + 5$.

Step2: Solve the equation for $x$

Subtract $4x$ from both sides: $7x-4x−22=4x - 4x+5$, which simplifies to $3x−22 = 5$.
Then add 22 to both sides: $3x−22 + 22=5 + 22$, getting $3x=27$.
Divide both sides by 3: $x=\frac{27}{3}=9$.

Answer:

$x = 9$