Question

Can I get some help on this problem? Thanks guys yo its really easy but I cant figure it out I need an explanation so dont post without one

Answer 1

Answer:

x = 15

Step-by-step explanation:

When figures are similar, the lengths of corresponding sides are in the same ratio.

In the figure, the side measuring 8 corresponds to the side measuring 20. The ratio of the lengths of those two corresponding sides is 8/20.

The side measuring 6 corresponds to the side measuring x. The ratio of the lengths of those two corresponding sides is 6/x.

Since the quadrilaterals are similar, the ratio 8/20 must equal the ratio 6/x.

We use that fact to write an equation, and then we solve for x.

8/20 = 6/x

Reduce the fraction on the left side.

2/5 = 6/x

Cross multiply.

2x = 5 * 6

2x = 30

x = 15