document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=395122>Question 395122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help me solve this show the work too.\r<BR>\n" );
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document.write( "in triangle ABC, line ED connects the midpoint of line AB and AC. The length of linE ED is 2x+3 and the length of line BC is 7x-3. Find the value of x ED and BC. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #280452 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=280452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By connecting the midpoints of AB and AC, you have forme two similar triangles, ABC and AED. Using the fact that in similar triangles, corresponding sides are proportional, we can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ED%2FBC+=+AD%2FAC ALIGN=MIDDLE  ALT=\"ED%2FBC+=+AD%2FAC\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ED+=+2x%2B3 ALIGN=MIDDLE  ALT=\"ED+=+2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC+=+7x-3 ALIGN=MIDDLE  ALT=\"BC+=+7x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3%29%2F%287x-3%29+=+AD%2FAC ALIGN=MIDDLE  ALT=\"%282x%2B3%29%2F%287x-3%29+=+AD%2FAC\"   DISABLED_style= \"max-width:90%; height:auto;\" > But, because D is the midpoint of AC, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD+=+%281%2F2%29AC ALIGN=MIDDLE  ALT=\"AD+=+%281%2F2%29AC\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B3%29%2F%287x-3%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"%282x%2B3%29%2F%287x-3%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross-multiplying, we get...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B6+=+7x-3 ALIGN=MIDDLE  ALT=\"4x%2B6+=+7x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6+=+3x-3 ALIGN=MIDDLE  ALT=\"6+=+3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+9 ALIGN=MIDDLE  ALT=\"3x+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3 ALIGN=MIDDLE  ALT=\"x+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ED+=+2x%2B3 ALIGN=MIDDLE  ALT=\"ED+=+2x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x=3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ED+=+9 ALIGN=MIDDLE  ALT=\"ED+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC+=+7x-3 ALIGN=MIDDLE  ALT=\"BC+=+7x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC+=+18 ALIGN=MIDDLE  ALT=\"BC+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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