document.write( "Question 491185: E is the midpoint of segment DF, DE= 2x + 4, and EF= 3x - 1. Find DE, EF and DF. \n" ); document.write( "
Algebra.Com's Answer #334520 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Since E is the midpoint of DF, then DE = EF, so... \n" ); document.write( "2x+4 = 3x-1 Subtract 2x from both sides. \n" ); document.write( "4 = x-1 Add 1 to both sides. \n" ); document.write( "x = 5 \n" ); document.write( "DE = 2x+4 Substitute x = 5. \n" ); document.write( "DE = 2(5)+4 \n" ); document.write( "DE = 14 \n" ); document.write( "EF = 3x-1 Substitute x = 5. \n" ); document.write( "EF = 3(5)-1 \n" ); document.write( "EF = 14 \n" ); document.write( "DF = 14+14 \n" ); document.write( "DF = 28. \n" ); document.write( " |