document.write( "Question 419059: Hi just need some help to make sure I am doing this problem correctly.\r
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document.write( "Using the Euler's formula to answer this question, a polyhedron has 16 vertices and 17 faces. How many edges does it have.\r
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document.write( "I was thinking 33 because the Eulers formula is vertices = edges- faces +2\r
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document.write( "so would I go 16 - 29 + 17 = 4 29 + 4 = 33\r
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document.write( "Did I do this correct? :o) \n" );
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Algebra.Com's Answer #293146 by Theo(13342)![]() ![]() You can put this solution on YOUR website! Euler's formula states that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V - E + F = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "see the following reference:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "http://www.math.osu.edu/~fiedorow/math655/Euler.html\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V = 16 \n" ); document.write( "F = 17 \n" ); document.write( "E = ?????\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "V - E + F = 2 becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 - E + 17 = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add E to both sides of this equation and subtract 2 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 + 17 - 2 = E\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "31 = E\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Number of edges should be equal to 31.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |