Question

if qt = st = 22, qr = v + 28, and rs = 5v, what is the value of v?

Explanation:

Step1: Apply perpendicular - bisector theorem

Since $RT$ is the perpendicular bisector of $QS$, then $QR = RS$.

Step2: Set up equation

$v + 28=5v$.

Step3: Solve for $v$

$28 = 5v - v$, $28 = 4v$, so $v = 7$.

Answer:

7