Question

Determine the value of y. answers: A) 13.3 B) 3 C) 1.875 D) 4.8

Answer 1

D) y = 4.8

Explanation:

Because of the parallel lines and laws of proportions, you can set up a proportion.

5/3 = 8/y

5y = 3 * 8

y = 24/5

y = 4.8

Answer 2

4.8

Explanation:

The triangles are similar so we can use ratios

5 8

------ = --------

5+3 8+y

Using cross products

5(8+y) = 8* (5+3)

5(8+y) = 8*8

40+5y = 64

Subtract 40

5y = 24

Divide by 5

y =24/5

y =4.8