document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154645>Question 1154645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me with these questions I'm lost\r<BR>\n" );
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document.write( "1. if GM = 5, MJ = 3, and MF = 2, find MH.<BR>\n" );
document.write( "2. if LJ = 6, JG = 8, and LI = 7, find IH.<BR>\n" );
document.write( "3. if LJ = 3 and JG = 7, find LF.\r<BR>\n" );
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document.write( "(the image of the shape is here)<BR>\n" );
document.write( "https://photos.google.com/share/AF1QipNDsH-Y-5LCQudqf-ni7jxhbzAdoktuJNcu0JE0nHqluQggBo2jdolV45TQEwTtrw/photo/AF1QipOEDwwcns51zPR9xJdjzFIDEiftO21-uVGDL0Tb?key=WFFkTV82Y2I1VldRRnNfSU92MllTT0czaVA3N3hn </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777122 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</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=777122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "1. if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GM+=+5 ALIGN=MIDDLE  ALT=\"GM+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MJ+=+3 ALIGN=MIDDLE  ALT=\"MJ+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MF+=+2 ALIGN=MIDDLE  ALT=\"MF+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MH ALIGN=MIDDLE  ALT=\"MH\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "When two chords intersect each other inside a circle, the products of their segments are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=GM+%2AMJ=MH%2AMF ALIGN=MIDDLE  ALT=\"GM+%2AMJ=MH%2AMF\"   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=5%2A3=MH%2A2 ALIGN=MIDDLE  ALT=\"5%2A3=MH%2A2\"   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=15=MH%2A2 ALIGN=MIDDLE  ALT=\"15=MH%2A2\"   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=MH=15%2F2 ALIGN=MIDDLE  ALT=\"MH=15%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=MH=7.5 ALIGN=MIDDLE  ALT=\"MH=7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LJ+=+6 ALIGN=MIDDLE  ALT=\"LJ+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=JG+=+8 ALIGN=MIDDLE  ALT=\"JG+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LI+=+7 ALIGN=MIDDLE  ALT=\"LI+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=IH ALIGN=MIDDLE  ALT=\"IH\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " If you have a point <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > outside a circle and draw two secant lines (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LJG ALIGN=MIDDLE  ALT=\"LJG\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LIH ALIGN=MIDDLE  ALT=\"LIH\"   DISABLED_style= \"max-width:90%; height:auto;\" >) from it, there is a relationship between the line segments formed. Refer to the figure given. If you multiply the length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LJ+by+the+length+of+%7B%7B%7BLG ALIGN=MIDDLE  ALT=\"LJ+by+the+length+of+%7B%7B%7BLG\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you will get the same result as when you do the same thing to the other secant line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LJ%2ALG+=+LI%2ALH ALIGN=MIDDLE  ALT=\"LJ%2ALG+=+LI%2ALH\"   DISABLED_style= \"max-width:90%; height:auto;\" >........since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LG=LJ%2BJG+=+6%2B8=14 ALIGN=MIDDLE  ALT=\"LG=LJ%2BJG+=+6%2B8=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LH=+LI%2BIH=7%2BIH ALIGN=MIDDLE  ALT=\"LH=+LI%2BIH=7%2BIH\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A14+=+7%2A%287%2BIH%29 ALIGN=MIDDLE  ALT=\"6%2A14+=+7%2A%287%2BIH%29\"   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=7%2BIH=%286%2A14%29%2F7 ALIGN=MIDDLE  ALT=\"7%2BIH=%286%2A14%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2BIH=6%2A2 ALIGN=MIDDLE  ALT=\"7%2BIH=6%2A2\"   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=IH=12-7 ALIGN=MIDDLE  ALT=\"IH=12-7\"   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=IH=5 ALIGN=MIDDLE  ALT=\"IH=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3. if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LJ+=+3 ALIGN=MIDDLE  ALT=\"LJ+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=JG+=+7 ALIGN=MIDDLE  ALT=\"JG+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, find<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+LF ALIGN=MIDDLE  ALT=\"+LF\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "here <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LF ALIGN=MIDDLE  ALT=\"LF\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tangent ALIGN=MIDDLE  ALT=\"tangent\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LF%5E2=LJ%2AJG ALIGN=MIDDLE  ALT=\"LF%5E2=LJ%2AJG\"   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=LF%5E2=3%2A7 ALIGN=MIDDLE  ALT=\"LF%5E2=3%2A7\"   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=LF%5E2=21 ALIGN=MIDDLE  ALT=\"LF%5E2=21\"   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=LF=sqrt%2821%29 ALIGN=MIDDLE  ALT=\"LF=sqrt%2821%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> exact solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LF=4.6 ALIGN=MIDDLE  ALT=\"LF=4.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> approximately\r<BR>\n" );
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document.write( " </SPAN>\n" );
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