Answer:
43 units
Step-by-step explanation:
Given the data, QR = 6x + 1, PR = 14x – 13, and PQ = 5x - 2, it can be inferred that PQ+QR = PR
Substitute the given functions
5x - 2+6x + 1 = 14x – 13
collect like terms
5x+6x-2+1 = 14x – 13
11x-1 = 14x – 13
11x-14x = -13+1
-3x = -12
Divide both sides by -3
-3x/-3 = -12/-3
x = 4
Substitute x = 4 into PR = 14x – 13;
PR = 14(4) – 13
PR = 56-13
PR = 43
Hence the length of PR is 43 units
