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Ann [662]
3 years ago
7

The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression

that represents the measure of the third side would be...?
Mathematics
2 answers:
Alisiya [41]3 years ago
7 0

Question


The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression that represents the measure of the third side would be...?


Answer:

<h2>(17n + 11) - (4n +5 + 5n + 6) =</h2>

Step-by-step explanation:

you simply take off the misure of the know sides from the perimeter

(17n + 11) - (4n +5 - 5n + 6) =

8n


frutty [35]3 years ago
3 0

Answer: 8n

==========================================================

Explanation:

The two sides 4n+5 and 5n+6 have the terms 4n and 5n which add to 9n. We need 8n to add onto this so that we end up with 17n. In other words, 4n+5n+8n = 9n+8n = 17n

So that is why the answer is 8n. We don't have anything added or subtracted to it because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) add up to 5+6 = 11 which is what we want in the perimeter expression 17n+11

Side 1 = 4n+5

Side 2 = 5n+6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n+5) + (5n+6) + (8n)

Perimeter = 4n+5 + 5n+6 + 8n

Perimeter = (4n+5n+8n) + (5+6)

Perimeter = 17n+11

So that confirms we have the proper expression for the third missing side.

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olya-2409 [2.1K]

Answer:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Step-by-step explanation:

As we know that

In any convex polygon, if we may start at one vertex and draw the diagonals to all the other vertices, we would form triangles,

The number of triangles thus formed would always  2  LESS than the number of sides.

As

  • The sum of measure of the angles of any triangle is 180°.

Thus,

The sum of the interior angles of the 15-gon will be:

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Also

15-gon is regular, it means this total 2340^0 is shared in equal proportion among the 15 interior angles.

And

Each interior angle of the regular polygon will be:  \frac{2340^{0} }{15}=156^{0}

Therefore, we conclude that:

  • The sum of the interior angles of the 15-gon =\:2340^0
  • Each interior angle of the regular polygon =\:156^0

Keywords: regular polygon, 15-gon, triangle

Learn more about polygon from brainly.com/question/11932357

#learnwithBrainly

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Hi!

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______________________

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