document.write( "Question 707260: the lengths of the bases of a trapezoid are represented by 4x+3 and 6x-9. If the median of a trapezoid measures 32, find x. \n" ); document.write( "
Algebra.Com's Answer #435607 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! (Base1 + Base2)/2 = Median ... ie if you average the base lengths, you get the median\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4x+3 + 6x-9)/2 = 32 ... plug in the known/given info and solve for x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x+3 + 6x-9 = 32*2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x+3 + 6x-9 = 64\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10x-6 = 64\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10x = 64+6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10x = 70\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 70/10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: x = 7 \n" ); document.write( " \n" ); document.write( " |