Answer:
1. 37.5
2. 8
Step-by-step explanation:
1. the smaller triangle and the bigger triangle are similar, so the sides are also similar.
this means that 16/46 = 20/(x+20)
then, just solve that for x
16/46 = 20/(x+20)
divide both sides by 4
4/46 = 5/(x+20)
multiply both sides by (x + 20)
(x+20) * 4/46 = 5
multiply both sides by 46
4x + 80 = 230
subtract 80
4x = 150
divide 4
x = 37.5
2. do the same thing ( still similar triangles)
the equation would be (3x + 1)/10 = (7x - 1)/22
solve
22(3x + 1) = 10(7x - 1)
66x + 22 = 70x - 10
32 = 4x
x = 8
