document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=489536>Question 489536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the length of RS if S is between R and T, the length of RS is one-third the length of RT , RS =3x -20 and ST = 4x-11. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #333817 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=333817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The line segment is RST.<BR>\n" );
document.write( "Since RS is 1/3 of the total length, ST is 2/3.<BR>\n" );
document.write( "Therefore, 2(RS) is = ST, and RS + ST = RT.<BR>\n" );
document.write( "2(3x -20) = 4x - 11<BR>\n" );
document.write( "6x - 40 = 4x - 11<BR>\n" );
document.write( "2x = 29<BR>\n" );
document.write( "x = 14.5<BR>\n" );
document.write( "3(14.5) - 20 = 23.5<BR>\n" );
document.write( "4x - 11 = 47<BR>\n" );
document.write( "2(23.5) = 47<BR>\n" );
document.write( "The length of RS is 23.5.<BR>\n" );
document.write( "The length of ST is 47.<BR>\n" );
document.write( "The total length of RT is 70.5.<BR>\n" );
document.write( "Cleomenius.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
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