document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=985739>Question 985739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points A,B,C,and D are collinear and positioned in that order. Find the length indicated.<BR>\n" );
document.write( "AD= x + 203,AC= x + 162, BC= 76, and BD= x + 127. Find AC.\r<BR>\n" );
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document.write( "Thanks for helping! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #606546 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=606546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First draw a straight line and plot the four points A,B,C,D on that line. It doesn't matter where you plot the points as long as they are in order and none overlap.\r<BR>\n" );
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document.write( "We're given AD = x+203. We also know that BD = x+127. Since AB + BD = AD (segment addition postulate) we can determine the length of AB\r<BR>\n" );
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document.write( "AB + BD = AD<BR>\n" );
document.write( "AB + BD-BD = AD-BD <font color=\"blue\">Subtract BD from both sides.</font><BR>\n" );
document.write( "AB = AD-BD<BR>\n" );
document.write( "AB = (x+203)-(x+127)<BR>\n" );
document.write( "AB = x+203-x-127<BR>\n" );
document.write( "AB = 76\r<BR>\n" );
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document.write( "The length of BC is also 76 (given). So,\r<BR>\n" );
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document.write( "AB+BC = 76+76 = 152\r<BR>\n" );
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document.write( "this is equal to the length of AC because AB+BC = AC\r<BR>\n" );
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document.write( "So, AC = 152 units\r<BR>\n" );
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document.write( "Final Answer: <font color=\"red\">152 units</font> </SPAN>\n" );
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