Answer:
x = 3, PQ = 6 , PR = 12
Step-by-step explanation:
Given Q is the midpoint of PR , then
PQ = QR = 2x
PR = PQ + QR , that is
8x - 12 = 2x + 2x
8x - 12 = 4x ( subtract 4x from both sides )
4x - 12 = 0 ( add 12 to both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Then
PQ = 2x = 2 × 3 = 6
PR = 8x - 12 = 8(3) - 12 = 24 - 12 = 12
