document.write( "Question 1058082: Quadrilateral ABCD is a parallelogram with AB = 3y – 6, BC = 5x – 8, CD = 2y + 4, and AD = 4x –1. Find x. \n" ); document.write( "

Algebra.Com's Answer #673164 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "Quadrilateral ABCD is a parallelogram with AB = 3y – 6, BC = 5x – 8, CD = 2y + 4, and AD = 4x –1. Find x.
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document.write( "Parallelogram has opposite sides congruent. i.e. of equal length.\r\n" );
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document.write( "So, you have these equations:\r\n" );
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document.write( "1)  |AB| = |CD|,  or  3y - 6 = 2y + 4.\r\n" );
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document.write( "                  The solution is 3y - 2y = 4 + 6,  or  y = 10.\r\n" );
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document.write( "and\r\n" );
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document.write( "2)  |BC| = |AD|,  or 5x-8 = 4x - 1.\r\n" );
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document.write( "                  The solution is  5x - 4x = 1 + 8,  or  x = 9.\r\n" );
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