Question

2. The figures in each pair are similar. Find the value of each variable. Show your work.

Answer 1

Line up the shapes.
a.  2/8 = x/16

b.  12/4 = 18/x = y/8

c.  6/4=8/y=7/x

a.  Cross multiply. 8x = 2*16
8x = 32
divide both sides by 8
x = 4

b.  12/4 = 18/x
cross multiply
12x = 18*4
12x = 72
divide both sides by 12
x = 6

12/4 = y/8
cross multiply
4y = 12*8
4y = 96
divide both sides by 4
y = 24

c.  6/4 = 8/y
cross multiply
6y = 8*4
6y = 32
divide both sides by 6
y = 32/6 = 16/3

6/4 = 7/x
cross multiply
6x = 7*4
6x = 28
divide both sides by 6
x = 14/3

Answer 2

I hope this helps you option C Y = 16/3