Respuesta :

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.

Answer:

QR is 23

Step-by-step 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