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DENIUS [597]
3 years ago
14

The sum of the interior angles in a pentagon

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

540°

Step-by-step explanation:

When you have a polygon (shape with 3+ sides), you can split the shape into the lowest number of triangles and use that to calculate the interior angles of the shape. Thus works because triangles have angles that <em>always</em> add up to 180°

A Pentagon can be split into 3 triangles minimum, which means you have 180 + 180 + 180. Or...

180 x 3 = 540

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The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,
soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

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The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

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a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( \frac{13}{2} - L)

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A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

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Its worth helping xd
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Answer:

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Step-by-step explanation:

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