Since the polygons are similar, we can set up a proportion between corresponding sides.
For the first pentagon, the ratio of the length of the short side to the length of the long side is (8/(x-3))/16, which simplifies to (8/16)/(x-3) = 1/(x-3).
For the second pentagon, the ratio of the length of the short side to the length of the long side is (2/4)/(2.5) = 1/2.5.
Now we can set up the proportion: (1/(x-3)) = 1/2.5.
To solve for x, we can cross multiply: 2.5 = x - 3.
Adding 3 to both sides, we get: 5.5 = x.
Therefore, the value of x is 5.5.
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There are two pentagons. The short sides of one is 8 and x - 3 and the long side is 16. The other pentagons short sides are 2 and 2.5 and the longs sides is 4.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
(2 points)
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