Question

Pentagon ABCDE Pentagon FGHIJ. Find BC for GH = 12, IJ = 15, and DE = 10.

NEED URGENTLY!!!

Answer 1

Answer: x = 8

Explanation:

You can solve by setting up the proportions of the corresponding sides of the pentagon and then solve for x (the value of BC).

So, IJ/DE values are 15/10 and are set equal to GH/x (x represents the value of BC; the value you are solving for). Hint: It may be helpful for you to draw a diagram of the two pentagons and label them with the letters and values provided in the problem. This will help you to set up your proportion problem accurately.

To solve you can cross multiply to find the value of x.

15/10 = 12/x

15x = 12 * 10

15x = 120

x = 120/15

x = 8

Answer 2

BC = 8

Explanation:

These are similar shapes, so they multiply out to the same ratio.

Seeing that 10 * 1.5 = 15, BC * 1.5 should equal 12.

All we do is divide 1.5 from both sides to get 8.

Then, plug it back into the equation to check and it works.