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Answer :
The pentagon can be placed back into the hole in 5 different ways when considering rotations but not reflections.
A regular pentagon has 5 sides and 5 vertices. When the pentagon is cut out of a flat piece of cardboard and placed back into the pentagonal hole, it can be rotated but not reflected.
To determine the number of ways the pentagon can be placed back into the hole, we need to consider the different possible rotations.
Since the pentagon has 5 sides, we can rotate it in 5 different positions before it repeats. Each rotation is distinct because the pentagon is not reflected.
Therefore, the pentagon can be placed back into the hole in 5 different ways when considering rotations but not reflections.
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