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Earn +20 ptsQ: How many sides of each face does a dodecahedron have?
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A closed polygon has 14 diagonals. how many numbers of sides does it have?
It will have 7 sides
A polygon has 20 diagonals how many sides does it have?
It is an octagon with 8 sides. Let n be the number of sides = number of vertices. Then each vertex can be connected to n-3 other vertices, giving n(n -3) connections. However, this counts each vertex pair connection twice, so there are: n(n - 3) / 2 diagonals. Thus if there are 20 diagonals: n(n - 3) / 2 = 20 n2 - 3n = 40 n2 - 3n - 40 = 0 (n + 5)(n - 8) = 0 so n = -5 or 8. As a polygon cannot have a negative number of sides, n = 8.
How many diagonals does a shape with 5 sides have?
5(5-3)/2. That it is the formula so that shape would have 5 diagonals. n(n-3)/2 where n is the number of sides
How many diagonals are in a 9 sided polygon?
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon. So: 0.5*(81-27) = 27 diagonals
Aiden received 16 cards at a party Each person exchanged exactly 1 card with each of the other people How many people were present at the party?
17
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