Question about Office Equipment & Supplies

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Posted on Jan 02, 2017

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It's my understanding that a polygon is a multisided plain figure ( a two dimensional figure.). This means that a triangle - 3 sides, a square - 4 sides, a pentagon - 5 sides, a hexagon - 6 sides, (I'm not sure but I think a seven sided figure is a heptagon?), an octagon - 8 sides, a nonagon - 9 sides, a decagon - 10 sides, etc. are each examples of polygons.

Mar 20, 2017 | Miscellaneous

the assignment would require to go google and type in --name of 9 sided figure.

Feb 10, 2015 | Office Equipment & Supplies

Since there are an infinite number of polygons, I can't list all of their names. For the names of all polygons with up to 100 sides, see http://en.wikipedia.org/wiki/Polygon

Jun 05, 2014 | Computers & Internet

The usual name for a polygon with 4 sides is quadrilateral. You could call it tetragon too, but that is not common.

Mar 17, 2014 | Office Equipment & Supplies

Actually, a decagon has 10 sides while a nonagon has 9 sides.

Not every polygon has a name, since there are an infinite possibilities for the number of sides. You can see the names for many of them at http://en.wikipedia.org/wiki/Polygon

Not every polygon has a name, since there are an infinite possibilities for the number of sides. You can see the names for many of them at http://en.wikipedia.org/wiki/Polygon

Mar 03, 2014 | Computers & Internet

Different polygons have different names. See http://en.wikipedia.org/wiki/Polygon#Naming_polygons

Feb 06, 2014 | Office Equipment & Supplies

Its a Trapezium

Feb 04, 2014 | a4 bolt, with polygon socket hd. combi. ....

3 Triangle

4 Quadrilateral

5 Pentagon

6 Hexagon

7 Heptagon

8 Octagon

9 Nonagon

11 Undecagon

or

-Hendecagon

12 Dodecagon

Dec 10, 2013 | Office Equipment & Supplies

What follows is true for CONVEX polygons.

Let**n **be the number of sides of a convex polygon, and let** n** **be greater than or equal to 4**, then

The number of diagonals is given by**n*(n-3)/2**

Using this rule, write**n*(n-3)/2**=20. Clear the fraction, open brackets. You end up with **n^2-3n-40=0**.

Factor the polynomial or use the formulas for the quadratic equation to find the roots as** n=-5 or n=8**. Discard the negative root because n must be positive.

Let

The number of diagonals is given by

Using this rule, write

Factor the polynomial or use the formulas for the quadratic equation to find the roots as

Oct 05, 2013 | Computers & Internet

For convex polygons there is a relation linking the number of sides to the number of diagonals. Here it is, with n=number of sides

**number of diagonals=n*(n-3)/2.** Obviously the number of sides must be greater or equal to 3.

If you use the relation for a hexagon (n=6) the number of diagonals is 9. With n=7, the number of diagonals is 14, and for n=8 the number of diagonals is 8*(8-3)/2=20.** The answer is that there does not exist a CONVEX polygon with 15 diagonals.**

You can also try to solve the quadratic equation n(n-3)/2=15 for a positive integer. And you will not find a solution.

For polygons that are not convex there may be many solutions or no solutions. I leave that to you as an exercise.

If you use the relation for a hexagon (n=6) the number of diagonals is 9. With n=7, the number of diagonals is 14, and for n=8 the number of diagonals is 8*(8-3)/2=20.

You can also try to solve the quadratic equation n(n-3)/2=15 for a positive integer. And you will not find a solution.

For polygons that are not convex there may be many solutions or no solutions. I leave that to you as an exercise.

Mar 11, 2013 | SoftMath Algebrator - Algebra Homework...

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