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.
oops 2x-11 = 5
so x = 8
To find the value of x in the given polygons, we can set up a proportion since the polygons are similar. Similar polygons have corresponding sides that are in proportion to each other.
First, let's set up a proportion using the corresponding sides:
\(\frac{6}{18} = \frac{2x}{15}\)
To solve for x, we can cross-multiply and then solve for x:
\(6 \times 15 = 18 \times 2x\)
\(90 = 36x\)
Now, divide both sides of the equation by 36:
\(\frac{90}{36} = \frac{36x}{36}\)
\(2.5 = x\)
Therefore, the value of x is 2.5.
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