Question

Given that Y is between X and Z. If XY8n 4,YZ = 4n + 8, and XZ = 150-9, what is thelength of XZ ?

Answer 1

Given:

XY = 8n + 4

YZ = 4n + 8

XZ = 15n - 9

Y between X and Z so, XY + YZ = XZ

So,

8n + 4 + 4n + 8 = 15 n - 9

solve to find n

So, combine like terms

12 n + 12 = 15 n - 9

12 n - 15 n = -9 - 12

-3 n = -21

divide both sides by -3

n = -21/-3 = 7

So,

The length of XZ = 15n - 9 = 15 * 7 - 9 = 96