document.write( "Question 1190832: the number of diagonals d of a polygon of n sides is given by d = n/2 (n-3). How many sides does a polygon with 77 diagonals have? \n" ); document.write( "
Algebra.Com's Answer #822561 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! the number of diagonals d of a polygon of n sides is given by d = n/2 (n-3). How many sides does a polygon with 77 diagonals have? \n" ); document.write( "------------------- \n" ); document.write( "(n/2)*(n-3) = 77 \n" ); document.write( "n^2 - 3n = 154 \n" ); document.write( "n^2 - 3n - 154 = 0 \n" ); document.write( "(n-14)*(n+11) = 0 \n" ); document.write( "n = 14 sides (Ignore the -11)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |