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Answer :

Answer:

25/14

Step-by-step explanation:

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The value of n that makes up the triangle of perimeter 15 centimeters is 2.5

How to determine the value of n?

The side lengths of the triangle are given as:

5n - 6, n and 2n + 1

The perimeter is given as:

P = 15

The perimeter is the sum of the side lengths.

So, we have:

5n - 6 + n + 2n + 1 = 15

Collect like terms

5n + n + 2n = 15 + 6 - 1

Evaluate the like terms

8n = 20

Divide both sides by 8

n = 2.5

Hence, the value of n that makes up the triangle is 2.5

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