document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550573>Question 550573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> LM is the midsegment of trapezoid ABCD. AB=x+8, LM=4x+3, and DC=187. What is  the value of x? Please explain not sure how to work this out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358861 by </B><A HREF=/tutors/aboutme.mpl?userid=mathstutor494><B>mathstutor494(120)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathstutor494><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mathstutor494><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=358861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Length of the midsegment of a trapezoid is the average length of the bases,\r<BR>\n" );
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document.write( "i.e. LM = (AB+DC)/2\r<BR>\n" );
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document.write( "Substituting the values given, we get\r<BR>\n" );
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document.write( "4x+3 = ((x+8)+187))/2\r<BR>\n" );
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document.write( "Multiplying both sides by 2 ...<BR>\n" );
document.write( "> 2*(4x+3) = ((x+8)+187))<BR>\n" );
document.write( "> 8x+6 = x+195<BR>\n" );
document.write( "> 8x-x = 195-6<BR>\n" );
document.write( "> 7x = 189<BR>\n" );
document.write( "> x = 27 ( Dividing both sides by 7)<BR>\n" );
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