document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135009>Question 1135009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCD  is a trapezoid with midsegment   MN.  The perimeter of   ABCD  is   36  yards.\r<BR>\n" );
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document.write( "The length of  AB  is  34¯  the length of   AD¯.  Find the lengths of   AB¯, MN, and DC.\r<BR>\n" );
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document.write( "Shape:<BR>\n" );
document.write( "https://gyazo.com/1e610d781083c7b720bf3827751710ea </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752554 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <a  rel=nofollow HREF=\"http://tinypic.com?ref=sxeohw\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i65.tinypic.com/sxeohw.png\" border=\"0\" alt=\"Image and video hosting by TinyPic\"></a>\r<BR>\n" );
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document.write( " given:\r<BR>\n" );
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document.write( "The perimeter of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABCD ALIGN=MIDDLE  ALT=\"ABCD\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36+ ALIGN=MIDDLE  ALT=\"36+\"   DISABLED_style= \"max-width:90%; height:auto;\" >yards.\r<BR>\n" );
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document.write( "The length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+ ALIGN=MIDDLE  ALT=\"AB+\"   DISABLED_style= \"max-width:90%; height:auto;\" >is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34 ALIGN=MIDDLE  ALT=\"34\"   DISABLED_style= \"max-width:90%; height:auto;\" >¯???? the length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD ALIGN=MIDDLE  ALT=\"AD\"   DISABLED_style= \"max-width:90%; height:auto;\" >¯.(I think you put <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34 ALIGN=MIDDLE  ALT=\"34\"   DISABLED_style= \"max-width:90%; height:auto;\" > by mistake)\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+ ALIGN=MIDDLE  ALT=\"AB+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is probably <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >   the length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD ALIGN=MIDDLE  ALT=\"AD\"   DISABLED_style= \"max-width:90%; height:auto;\" >, I will go with that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=%28AB%2BCD%29%2F2 ALIGN=MIDDLE  ALT=\"MN=%28AB%2BCD%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BCD%2BAD%2BBC=36 ALIGN=MIDDLE  ALT=\"AB%2BCD%2BAD%2BBC=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN ALIGN=MIDDLE  ALT=\"MN\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the midline of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABCD ALIGN=MIDDLE  ALT=\"ABCD\"   DISABLED_style= \"max-width:90%; height:auto;\" >. And the segment <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN ALIGN=MIDDLE  ALT=\"MN\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the midsegment of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABCD ALIGN=MIDDLE  ALT=\"ABCD\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "so,<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM+=+MD=4 ALIGN=MIDDLE  ALT=\"AM+=+MD=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD=8 ALIGN=MIDDLE  ALT=\"AD=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BN+=+NC+=5 ALIGN=MIDDLE  ALT=\"BN+=+NC+=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=10 ALIGN=MIDDLE  ALT=\"BC=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BCD%2B8%2B10=36 ALIGN=MIDDLE  ALT=\"AB%2BCD%2B8%2B10=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BCD=36-18 ALIGN=MIDDLE  ALT=\"AB%2BCD=36-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BCD=18 ALIGN=MIDDLE  ALT=\"AB%2BCD=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=%28AB%2BCD%29%2F2 ALIGN=MIDDLE  ALT=\"MN=%28AB%2BCD%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=18%2F2 ALIGN=MIDDLE  ALT=\"MN=18%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=9 ALIGN=MIDDLE  ALT=\"MN=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " since given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB+ ALIGN=MIDDLE  ALT=\"AB+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD=8 ALIGN=MIDDLE  ALT=\"AD=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=%283%2F4%298 ALIGN=MIDDLE  ALT=\"AB=%283%2F4%298\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=6 ALIGN=MIDDLE  ALT=\"AB=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then =><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2BCD=18 ALIGN=MIDDLE  ALT=\"6%2BCD=18\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=18-6 ALIGN=MIDDLE  ALT=\"CD=18-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=12 ALIGN=MIDDLE  ALT=\"CD=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "answer:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MN=9 ALIGN=MIDDLE  ALT=\"MN=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=6 ALIGN=MIDDLE  ALT=\"AB=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=12 ALIGN=MIDDLE  ALT=\"CD=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AD=8 ALIGN=MIDDLE  ALT=\"AD=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BC=10 ALIGN=MIDDLE  ALT=\"BC=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check the perimeter:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%2BCD%2BAD%2BBC=36 ALIGN=MIDDLE  ALT=\"AB%2BCD%2BAD%2BBC=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2B12%2B8%2B10=36 ALIGN=MIDDLE  ALT=\"6%2B12%2B8%2B10=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36=36 ALIGN=MIDDLE  ALT=\"36=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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