document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=193337>Question 193337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> r is the midpoint of line segment pt, and q is the midpoint of line segment pr. If s is a point between r and t such that the length of segment qs is 10 and the length of segment ps is 19, what is the length of segment st? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145135 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=145135\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a  sketch  is  very  helpful  \r<BR>\n" );
document.write( "\n" );
document.write( "ours  is  just  a  line<BR>\n" );
document.write( "point  p  is  leftmost,  point  t  is  rightmost<BR>\n" );
document.write( "r  is  midpoint<BR>\n" );
document.write( "s  is  random  point  between  r  &  t<BR>\n" );
document.write( "Given  PS=19,  and  qs-10<BR>\n" );
document.write( "ps-qs=pq  from  sketch<BR>\n" );
document.write( "19-10=9=pq,,,,,but  pq=qr(from  midpoint) therefore,,,qr=9<BR>\n" );
document.write( "qs-qr=rs  from  sketch<BR>\n" );
document.write( "10-9=1=rs,,,but  rt=18,,,therefore  st=18-1=17\r<BR>\n" );
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document.write( "check<BR>\n" );
document.write( "p---9---q--9--r--1-s---17-----t<BR>\n" );
document.write( "qs=10  ok<BR>\n" );
document.write( "ps=19  ok  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );