Question

current skill $
p•\t7\t\t2n+7\t•q\t•r
\t\t3n-28
find pr. figure is not drawn to scale.

Explanation:

Step1: Set up the equation for PR

From the figure, \( PR = PQ + QR \), and also \( PR = 3n - 28 \), \( PQ = 7 \), \( QR = 2n + 7 \). So we have the equation: \( 7+(2n + 7)=3n - 28 \)

Step2: Simplify and solve for n

Simplify the left - hand side: \( 7 + 2n+7=2n + 14 \)
So the equation becomes \( 2n+14 = 3n - 28 \)
Subtract \( 2n \) from both sides: \( 14=n - 28 \)
Add 28 to both sides: \( n=14 + 28=42 \)

Step3: Calculate PR

Substitute \( n = 42 \) into the expression for \( PR \), which is \( 3n-28 \)
\( PR=3\times42-28=126 - 28 = 98 \)

Answer:

\( 98 \)