document.write( "Question 1065417: assume that point d is a midpoint of ab. find x and each segment length. ad = 2x - 1, ab = 6x - 20. \n" ); document.write( "
Algebra.Com's Answer #680581 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! assume that point d is a midpoint of ab. \n" ); document.write( " find x and each segment length. ad = 2x - 1, ab = 6x - 20. \n" ); document.write( ": \n" ); document.write( "a---------------d----------------b \n" ); document.write( ": \n" ); document.write( "d is the mid-point, therefore: \n" ); document.write( "ad = \n" ); document.write( "multiply both sides by 2 \n" ); document.write( "2ad = ab \n" ); document.write( "replace ad with (2x-1); replace ab with (6x-20) \n" ); document.write( "2(2x-1) = 6x - 20 \n" ); document.write( "4x - 2 = 6x - 20 \n" ); document.write( "-2 + 20 = 6x - 4x \n" ); document.write( "18 = 2x \n" ); document.write( "x = 18/2 \n" ); document.write( " x = 9 \n" ); document.write( "Therefore \n" ); document.write( "ad = 2(9) - 1 \n" ); document.write( "ad = 17 \n" ); document.write( "and \n" ); document.write( "ab = 6(9) - 20 \n" ); document.write( "ab = 54 - 20 \n" ); document.write( "ab = 34 (twice as long as ad) \n" ); document.write( " |