Question

The polygons are similar but not necessarily drawn to scale. Find the value of x.

Answer 1

Set up a proportion.

\(\dfrac{2}{8} = \dfrac{2.5}{x - 3}\)

Cross multiply, solve for 'x'.

Answer 2

so 2.5 * 8 = 2 * x - 3?

Answer 3

Yes.

Answer 4

Do I use distributive property for 2 * x - 3?

Answer 5

20 = 2x - 6

Answer 6

Yes, you do.

\(2(x - 3)\)

Distribute

Answer 7

Nice work!

Now add 6 to both sides.

Answer 8

26 = 2x

Answer 9

Yep, finally divide 2.

Answer 10

13 = x

Answer 11

\(\Huge\color{lime} \checkmark\)

Answer 12

Thank You so much!!!