document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206817>Question 1206817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In triangle PQR, AB//QR, If PA = 3x - 2, PB = 5x + 2, AQ = 5, BR = 10 and QR = 42, find:\r<BR>\n" );
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document.write( "x =<BR>\n" );
document.write( "PA =<BR>\n" );
document.write( "PB =<BR>\n" );
document.write( "AB =<BR>\n" );
document.write( "PQ = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #844477 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=844477\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given AB ||PQ \r<BR>\n" );
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document.write( "Therefore triangles PQR and PAB are similar triangles  ( by AA test)\r<BR>\n" );
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document.write( "THE RATIOS OF CORRESPONDING SIDES OF SIMILAR TRIANGLES ARE EQUAL.\r<BR>\n" );
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document.write( "PA+AQ=PQ<BR>\n" );
document.write( "PB+BQ=PQ\r<BR>\n" );
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document.write( "PA/PQ = PB/PR\r<BR>\n" );
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document.write( "(3x-2 )/(3x+3) =(5x+2)/(5x+12)\r<BR>\n" );
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document.write( "(3x-2)(5x+12) = (3x+3)(5x+2)\r<BR>\n" );
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document.write( "3x(5x+12)-2(5x+12) = 3x(5x+2)+3(5x+2)\r<BR>\n" );
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document.write( "15x^2+36x -10x-24 =15x^2+6x+15x+6\r<BR>\n" );
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document.write( "26x-24 = 21x+6\r<BR>\n" );
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document.write( "5x=30\r<BR>\n" );
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document.write( "x=6\r<BR>\n" );
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document.write( "x = 6<BR>\n" );
document.write( "PA =16<BR>\n" );
document.write( "PB = 32\r<BR>\n" );
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document.write( "16/21= AB/42\r<BR>\n" );
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document.write( "16*42/21= 32<BR>\n" );
document.write( "AB =32<BR>\n" );
document.write( "PQ = 42\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=similar1.png\">.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );