document.write( "Question 1035522: The perimeter of a hexagon is 18x+5. Four sides have the following side lengths: 8x, 3x-2, x+3, 2x-3.
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document.write( "Choose all the pairs that could be the missing two sides.
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document.write( "a. 4x+2, x+5
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document.write( "b. 2x, 2x+7
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document.write( "c. 5x-3, x+10
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document.write( " d. 3x-10, x+17\r
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document.write( "I tried adding 8x, 3x-2, x+3, and 2x-3 then subtracting that from 18x+5 then seeing if a,b,c or d would equal to the number but it doesn't, please help me. \r
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document.write( "Also on my homework this goes under the category of factoring, thank you. \r
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Algebra.Com's Answer #650236 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "The perimeter of a hexagon is 18x+5. Four sides have the following side lengths: 8x, 3x-2, x+3, 2x-3. \n" ); document.write( "Choose all the pairs that could be the missing two sides. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "a. 4x+2, x+5 <--- bad\r\n" ); document.write( "\r\n" ); document.write( "b. 2x, 2x+7 <--- good\r\n" ); document.write( "\r\n" ); document.write( "c. 5x-3, x+10 <--- bad\r\n" ); document.write( "\r\n" ); document.write( "d. 3x-10, x+17 <--- good\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "The method:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note that 8x + (3x-2) + (x+3) + (2x-3) = 14x - 2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thus two other addends should comlement 14x-2 to 18x+5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is easy to check that only options \"b\" and \"d\" satisfy this condition.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |