Answer:
6. x = 4
8. x = 13
Step-by-step explanation:
Using similar triangles theorem,
6. (5+4)/5 = (4x + 2)/(4x + 2 - 8)
9/5 = (4x + 2)/(4x - 6)
Cross multiply
9(4x - 6) = 5(4x + 2)
36x - 54 = 20x + 10
Collect like terms
36x - 20x = 54 + 10
16x = 64
16x/16 = 64/16
x = 4
8. (4x + 13)/20 = 52/16
(4x + 13)/20 = 13/4
Cross multiply
4(4x + 13) = 13(20)
16x + 52 = 260
16x = 260 - 52
16x = 208
x = 208/16
x = 13
