Answer:
x = 14
AB = 37
BC = 36
AC = 28
PQ = 28
QR = 28
PR = 45
Explanation:
we can add together the sides of ΔABC and set it equal to the sum of the sides of ΔPQR
2x+9 + 2x+8 + 2x = 2x + 2x + 3x+3
combine 'like terms':
6x + 17 = 7x + 3
subtract 6x from each side to get:
17 = x + 3
subtract 3 from each side to get:
14 = x
CHECK:
Does 6(14) + 17 equal 7(14) + 3?
84+17 = 98+3
101 = 101 checks out correctly