Question

If m is the midpoint of AB, AM =7x-3 and MB =4x+12. find the value of x and the length of AB

Answer 1

A___M___B

AM = MB

7x -3 = 4x +12

7x - 4x = 12 + 3

3x = 15

x = 15/3

x = 5

AM= 7x -3 = 7(5) - 3 = 35 - 3 = 32

MB = 4x + 12 = 4(5) + 12 = 20 + 12 = 32

AB = AM + MB

AB = 32 + 32 = 64

So; X = 5 , AB = 64

I hope I helped you^_^