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vesna_86 [32]
3 years ago
13

The sum of the measures of the interior angles of a polygon is 1440 How many sides does it have ________ sides

Mathematics
2 answers:
Rufina [12.5K]3 years ago
8 0
The only shape that has that much is a decagon 10 sides. t<span>he </span>sum<span> of the interior </span>angles of a  Regular Decagon is 1440 degrees. 
kvasek [131]3 years ago
3 0
To do this sum and to understand angles in polygons let's start at a triangle this has 180 deg,a square has 360 deg,a pentagon has 540 deg. Every time we add a side we add 180 deg. This finally accumulates to 1440 on a ten sided figure.
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Choose the correct graph to fit the inequality<br><br> y&lt;16x ^2
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Let us check each Option :

\mathsf{First\;Option : \left(\dfrac{m + 9}{m - 9}\right)\left(\dfrac{m + 9}{m - 9}\right)}

\mathsf{\implies \left(\dfrac{m + 9}{m - 9}\right)^2\;\neq\;1}

\mathsf{Second\;Option : \left(\dfrac{m + 9}{m - 9}\right)\left(\dfrac{m - 9}{m + 9}\right)}

\mathsf{\implies 1}

\mathsf{Third\;Option : \left(\dfrac{m + 9}{m - 9}\right)\left(\dfrac{9 + m}{9 - m}\right)}

\mathsf{\implies \left(\dfrac{m + 9}{m - 9}\right)\left(\dfrac{m + 9}{-(m - 9)}\right)}

\mathsf{\implies-\left(\dfrac{m + 9}{m - 9}\right)\left(\dfrac{m + 9}{m - 9}\right)}

\mathsf{\implies-\left(\dfrac{m + 9}{m - 9}\right)^2\;\neq\;1}

\mathsf{Fourth\;Option : \left(\dfrac{m + 9}{m - 9}\right)\left(\dfrac{9 - m}{9 + m}\right)}

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\mathsf{\implies -1\;\neq\;1}

<u>Answer</u> : Option (2)

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