document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907696>Question 907696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <-G----H-------I-----------J->\r<BR>\n" );
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document.write( "In the figure above, GH/HI=1/3 and HI/IJ=1/2. If the length of GI is 24, then the length of GJ is<BR>\n" );
document.write( "a.44<BR>\n" );
document.write( "b.48<BR>\n" );
document.write( "c.56<BR>\n" );
document.write( "d.60<BR>\n" );
document.write( "e.72 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550508 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=550508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Steps done here on paper are not very neat, but I found  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=IJ=36 ALIGN=MIDDLE  ALT=\"IJ=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and knowing the given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GI=24 ALIGN=MIDDLE  ALT=\"GI=24\"   DISABLED_style= \"max-width:90%; height:auto;\" >, simply using segment addition postulate gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GI%2BIJ=24%2B36=highlight%2860%29 ALIGN=MIDDLE  ALT=\"GI%2BIJ=24%2B36=highlight%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Note that in my separate work not shown, the ratio relationships given can easily be converted into simple linear equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3GH=HI ALIGN=MIDDLE  ALT=\"3GH=HI\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2HI=IJ ALIGN=MIDDLE  ALT=\"2HI=IJ\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GH%2BHI=24 ALIGN=MIDDLE  ALT=\"GH%2BHI=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29HI%2BHI=24 ALIGN=MIDDLE  ALT=\"%281%2F3%29HI%2BHI=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F3%29HI=24 ALIGN=MIDDLE  ALT=\"%284%2F3%29HI=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=HI=%283%2F4%2924 ALIGN=MIDDLE  ALT=\"HI=%283%2F4%2924\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28HI=18%29 ALIGN=MIDDLE  ALT=\"highlight_green%28HI=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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