Answer:
7. x = 37.5
8. x = 8
Step-by-step explanation:
7. The sides of the triangles are proportional, therefore:
x/20 = (46 - 16)/16
x/20 = 30/16
Cross multiply
x*16 = 30*20
16x = 600
Divide both sides by 16
x = 600/16
x = 37.5
8. The sides of the triangles are proportional. Therefore,
(7x - 1)/22 = (3x + 1)/10
Cross multiply
10(7x - 1) = 22(3x + 1)
70x - 10 = 66x + 22
Collect like terms
70x - 66x = 10 + 22
4x = 32
4x/4 = 32/4
x = 8
