document.write( "Question 1210521: The number of diagonals in a certain regular polygon is equal to 2 times the number of sides. How many sides does this polygon have? \n" ); document.write( "

Algebra.Com's Answer #853433 by ikleyn(53763) $\"\"$ $\"About$

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\n" ); document.write( "The number of diagonals in a certain regular polygon is equal to 2 times the number of sides.
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document.write( "Let n be the number of sides.\r\n" );
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document.write( "The number of diagonals is then  .\r\n" );
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document.write( "From the problem, we have this equation\r\n" );
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document.write( "     = 2n.\r\n" );
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document.write( "It implies\r\n" );
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document.write( "     = 2,\r\n" );
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document.write( "    n-3 = 4,\r\n" );
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document.write( "     n = 4 + 3 = 7.\r\n" );
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document.write( "ANSWER.  The number of sides is 7.\r\n" );
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document.write( "CHECK.  The number of diagonals is   =  = 7*2 = 14.   ! correct !\r\n" );
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