Question

Suppose PR = 54, solve for QR

Answer 1

QR is 23

Explanation:

• PR = 54
• Which means:
• (4x-1)+(3x-1)=54
• We can solve for x to find what QR is:
• 7x-2 =54
• 7x=56
• x=8
• Plug in x for QR equation:
• 3(8)-1 = 24-1=23
• 23 is the answer

Answer 2

We will use the segment addition postulate.

PQ + QR = PR

4x - 1 + 3x - 1 = 54

7x - 2 = 54

7x = 56

x = 8

So QR is 3(8) - 1 or 24 - 1 which is 23.