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VLD [36.1K]
3 years ago
8

Find the sum of the interior angle measures of a convex 21-gon

Mathematics
1 answer:
Advocard [28]3 years ago
7 0

Answer:

  3420°

Step-by-step explanation:

The sum of angle measures of an n-gon is ...

  angle total = (n-2)×180°

For n = 21, the angle total is ...

  21-gon total = (21 -2)×180° = 3420°

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<h2>Explanation:</h2>

In this problem, we have that Isabelle is using a square piece of cardboard to make a box without a lid. She cuts 2-inch squares from each corner and folds up the edges. The figure below shows this statement. The finished box has a volume (V) of 98 cubic inches, in other words:

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When folding up, we get the box without lip shown in the second figure. So the volume would be:

V=2xx \\ \\ V=2x^2 \\ \\ But: \\ \\ V=98 \\ \\ Then: \\ \\ 2x^2=98 \\ \\ x^2=49 \\ \\ x=\sqrt{49} \\ \\ x=7in

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<em>The dimensions of the cardboard to make a box without a lid is 11 inches by 11 inches.</em>

<h2>Learn more:</h2>

Volume of a box: brainly.com/question/10501080

#LearnWithBrainly

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Step-by-step explanation:

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