Question

current skill $ p 4n + 5 q n r 55 find qr. figure is not drawn to scale.

Explanation:

Step1: Set up equation

Since $PR = PQ+QR$ and $PR = 55$, $PQ=4n + 5$, $QR=n$, we have the equation $4n + 5+n=55$.

Step2: Combine like - terms

Combining the $n$ terms on the left - hand side gives $5n+5 = 55$.

Step3: Isolate the variable term

Subtract 5 from both sides: $5n+5 - 5=55 - 5$, so $5n=50$.

Step4: Solve for n

Divide both sides by 5: $\frac{5n}{5}=\frac{50}{5}$, so $n = 10$.

Step5: Find QR

Since $QR=n$, then $QR = 10$.

Answer:

10