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Two pentagons are shown.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
To find the value of x, we can set up a proportion using the corresponding side lengths of the two similar pentagons.
Let's denote the side lengths of the first pentagon as 4, 7, 9, 6, and x, and the side lengths of the second pentagon as 8, 14, 18, 12, and 20.
We can set up the following proportion:
4/8 = 7/14 = 9/18 = 6/12 = x/20
Now, we can simplify the proportions:
1/2 = 1/2 = 1/2 = 1/2 = x/20
From the simplified proportions, we can see that x = 10.
Therefore, the value of x is 10.