Question

what is pr?
pr = \boxed{}

Explanation:

Step1: Use the perpendicular bisector theorem

Since \(QS\) is the perpendicular bisector of \(PR\), by the perpendicular bisector theorem, \(RS = PS\). So \(2x=x + 11\).

Step2: Solve the equation for \(x\)

Subtract \(x\) from both sides of the equation \(2x=x + 11\). We get \(2x-x=x + 11-x\), which simplifies to \(x = 11\).

Step3: Calculate \(PR\)

\(PR=RS + PS\), and since \(RS = 2x\) and \(PS=x + 11\) and \(x = 11\), then \(RS=2\times11 = 22\), \(PS=11 + 11=22\). So \(PR=22+22\).

Answer:

\(44\)