Question

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Answer 1

Using the Euler's formula, the number of segments in the pentagonal prism is: 15.

What is the Euler's Formula?

The Euler's formula is given as,  F + V = E + 2, where:

• F = number of faces (number of regions)
• V = vertices
• E = number of edges (number of segments).

Given that the pentagonal prism has the following dimensions:

• F = 7
• V = 10
• E = number of segments = ?

Plug in the values into the Euler's formula, F + V = E + 2:

7 + 10 = E + 2

17 - 2 = E

E = 15

Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.

Learn more about the Euler's formula on:

brainly.com/question/1178790