Answer:
↓↓↓
Explanation:
The questions says that the perimeters of both triangles are equal to each other, so let's write that down.
3x + 9 + 3x + 8 + 3x = 3x + 3x = 4x + 8
9x + 17 = 10x + 8
Now that we have a basic equation, let's solve for x so we can solve for the length of the lines.
9x + 17 = 10x + 8 Original equation
17 = x + 8 Subtracted 9x from both sides
11 = x Subtracted 8 from both sides
So we know that x equals 11. Let's solve for the length of the lines now.
AB = 3(11) + 9 = 33 + 9 = 42
BC = 3(11) + 8 = 33 + 8 = 41
AC = 3(11) = 33
PQ = 3(11) = 33
QR = 3(11) = 33
PR = 4(11) + 8 = 44 + 8 = 52