document.write( "Question 1186813: What is the name of a polygon if the number of its diagonals is 10 times the number of sides? show solution
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Algebra.Com's Answer #817793 by greenestamps(13215) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "If n is the number of sides of the polygon, then the number of diagonals is

\n" ); document.write( " $\"%28n%28n-3%29%29%2F2\"$

\n" ); document.write( "The given condition is then this:

\n" ); document.write( " $\"%28n%28n-3%29%29%2F2=10n\"$
\n" ); document.write( " $\"%28n%5E2-3n%29%2F2=10n\"$
\n" ); document.write( " $\"n%5E2-3n=20n\"$
\n" ); document.write( " $\"n%5E2-23n=0\"$
\n" ); document.write( " $\"n%28n-23%29=0\"$

\n" ); document.write( "n=0 or n=23; obviously n=0 makes no sense, so n=23

\n" ); document.write( "The polygon has 23 sides.

\n" ); document.write( "For the NAME of that polygon, you can do an internet search....

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