Respuesta :

6/8 = y/6
y = 6*6 / 8
y = 4.5

Answer:

4.5

Step-by-step explanation:

In similar polygons, the ratios of corresponding sides is equal.

The only two corresponding sides we have measurements for are BC, with a measure of 8, and FG, with a measure of 6.  This makes their ratio 8/6.

The other half of the proportion will be comparing AB, with a measure of 6, to EF, with a measure of y:

8/6= 6/y

Cross multiply:

8(y) = 6(6)

8y = 36

Divide both sides by 8:

8y/8 = 36/8

y = 4.5