Answer:
5/4 =x
7/4 =y
Explanation:
We can use proportions to solve. Put the small triangle side over the big triangle side
5 8
---------- = -------------
5+x 10
Using cross products
5*10 = 8(5+x)
Distribute
50 = 40+8x
Subtract 40 from each side
50-40 =40-40+8x
10 = 8x
Divide by 8
10/8 = 8x/8
5/4 =x
7 8
---------- = -------------
7+y 10
Using cross products
7*10 = 8(7+y)
Distribute
70 = 56+8y
Subtract 56 from each side
70-56 =56-56+8y
14 = 8y
Divide by 8
14/8 = 8y/8
7/4 =y