Answer:
5). x = -1
6). x = 2
Step-by-step explanation:
5). AC = (x + 10)
AB = 5
BC = (2x + 6)
By segment addition postulate,
AC = AB + BC
(x + 10) = 5 + (2x + 6)
x + 10 = 2x + 11
2x - x = 10 - 11
x = -1
6). AC = 19
AB = 9x + 7
BC = -3x + 20
By segment addition postulate,
AC = AB + BC
39 = 9x + 7 + (-3x + 20)
39 = (9x - 3x) + (7 + 20)
39 = 6x + 27
6x = 39 - 27
6x = 12
x = 2
x = 2
