Question

current skill $
p •——— y ———• q ——— 2 ———• r
|—————— 2y - 3 ——————|
find pr. figure is not drawn to scale.

Explanation:

Step1: Analyze segment addition

From the figure, \( PR = PQ + QR \), so \( 2y - 3 = y + 2 \).

Step2: Solve for \( y \)

Subtract \( y \) from both sides: \( 2y - y - 3 = 2 \), which simplifies to \( y - 3 = 2 \). Then add 3 to both sides: \( y = 2 + 3 = 5 \).

Step3: Calculate \( PR \)

Substitute \( y = 5 \) into \( PR = 2y - 3 \): \( PR = 2(5) - 3 = 10 - 3 = 7 \).

Answer:

7