document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090433>Question 1090433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P, Q, R, S, and T are on line k such that Q is the midpoint of segment PT, R is the midpoint of segment QT, and S is the midpoint of segment RT. If segment PS = 9, then what is PT? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704894 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q is the midpoint of PT,<BR>\n" );
document.write( "so PQ=QT.<BR>\n" );
document.write( "R is the midpoint of QT,<BR>\n" );
document.write( "so QR=RT.<BR>\n" );
document.write( "S is the midpoint off RT,<BR>\n" );
document.write( "so RS=ST.<BR>\n" );
document.write( "Let us say RS=ST=x .<BR>\n" );
document.write( "Then, RT=RS+ST=x+x=2x ,<BR>\n" );
document.write( "so RT=QR=2x .<BR>\n" );
document.write( "Then, QT=QR+RT=2x+2x=4x ,<BR>\n" );
document.write( "and PQ=QT=4x .<BR>\n" );
document.write( "Then, PS=PQ+QR+RS=4x+2x+x=7x ,<BR>\n" );
document.write( "and PT=PQ+QT=4x+4x=8x .<BR>\n" );
document.write( "The problem says that PS=9 ,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x=9 ALIGN=MIDDLE  ALT=\"7x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=9%2F7 ALIGN=MIDDLE  ALT=\"x=9%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and PT=8x=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A%289%2F7%29=highlight%2872%2F7=10%262%2F7%29 ALIGN=MIDDLE  ALT=\"8%2A%289%2F7%29=highlight%2872%2F7=10%262%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28550%2C100%2C-0.3%2C10.7%2C-1%2C1%2C%0D%0Aline%28-0.3%2C0%2C10.7%2C0%29%2C%0D%0Aline%280%2C-0.2%2C0%2C0.2%29%2Cline%281%2C-0.2%2C1%2C0.2%29%2C%0D%0Aline%283%2C-0.2%2C3%2C0.2%29%2Cline%284%2C-0.2%2C4%2C0.2%29%2C%0D%0Aline%285%2C-0.2%2C5%2C0.2%29%2Cline%286%2C-0.2%2C6%2C0.2%29%2C%0D%0Aline%287%2C-0.2%2C7%2C0.2%29%2Cline%288%2C0.2%2C8%2C-0.2%29%2C%0D%0Aline%282%2C-0.2%2C2%2C0.2%29%2Cline%289%2C-0.2%2C9%2C0.2%29%2C%0D%0Aline%2810%2C-0.2%2C10%2C0.2%29%2Ccircle%280%2C0%2C0.1%29%2C%0D%0Acircle%2836%2F7%2C0%2C0.1%29%2Ccircle%2854%2F7%2C0%2C0.1%29%2C%0D%0Acircle%2863%2F7%2C0%2C0.1%29%2Ccircle%2872%2F7%2C0%2C0.1%29%2C%0D%0Alocate%28-0.1%2C-0.2%2C0%29%2Clocate%284.9%2C-0.2%2C5%29%2C%0D%0Alocate%289.8%2C-0.2%2C10%29%2Clocate%28-0.1%2C0.5%2CP%29%2C%0D%0Alocate%285.04%2C0.5%2CQ%29%2Clocate%287.6%2C0.5%2CR%29%2C%0D%0Alocate%288.9%2C0.5%2CS%29%2Clocate%2810.2%2C0.5%2CT%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );