Answer:
XM = 7
CG = 38
Explanation:
If M is the midpoint then
XM = MZ which means:
x + 2 = 2x - 3 add like terms
2+3 = 2x-x
5 = x and the length of XM = 7
same rules applies for the length of CG
CM = MG and
4x - 5 = 2x + 7
4x - 2x = 7 + 5
2x = 12 divide both sides by 2
x = 6 now to find the length of CG we replace the x with 6
CG = 4x - 5 + 2x + 7
CG = 6x + 2 replace x with 6
CG = 6*6 + 2
CG = 38