Question

A and Z are both between points M and N such that MZ=AN and A is between M and Z. Given: MA=5x AZ=3x-2 AN=6(2x-1) find MN

Answer 1

MN = 11

Explanation:

M___A___Z___N

MZ =MA+AZ

MZ = 5x + 3x -2 = 8x - 2

MZ = AN

8x - 2 = 6(2x-1)

8x - 2 = 12x - 6

12x - 8x = 6 -2

4x = 4

x =4/4

x =1

MA= 5x = 5(1) = 5

AZ = 3x-2 = 3(1) - 2 = 3 -2= 1

MZ = 8x -2 = 8(1)-2= 8-2=6

AN = 12x - 6 = 12(1)-6 = 12 - 6 = 6

MN = MA + AN = 5 + 6 = 11

I hope I helped you^_^