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

6-6-2x-11 Polygon one.

18-18-15 Polygon two.

Show work please.

3 answers

Since the polygons are similar, corresponding sides are proportional.

Set up a proportion:

6 : 18 = 2x : 15

Simplify by dividing both sides by 3:

2 : 6 = 2x : 5

Simplify further by dividing both sides by 2:

1 : 3 = 2x : 5

Cross-multiply:

5 = 6x

Divide both sides by 6:

x = 5/6

Therefore, the value of x is 5/6.
Looks to me like
6/18 = (2x-1)/15 = 5/15
x=3
oops 2x-11 = 5
so x = 8