Question

what is the value of ( u )?
( u = )

Explanation:

Step1: Apply the perpendicular bisector theorem

Since \(TR\) is the perpendicular bisector of \(QS\) and \(QR = SR = 47\), then \(QT=TS\).
So, \(u + 36=10u\).

Step2: Solve the equation for \(u\)

Subtract \(u\) from both sides: \(36 = 10u - u\).
Simplify: \(36=9u\).
Divide both sides by \(9\): \(u=\frac{36}{9}\).

Answer:

\(4\)