document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044963>Question 1044963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay so I'm in geometry and we're doing Segment Addition Postulate, here's the question: Find MN if N is between M and P, MN= 3x+2, NP= 18, and MP= 5x.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660374 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> segment addition postulate states:\r<BR>\n" );
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document.write( "In geometry, the segment addition postulate states that, given two points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.\r<BR>\n" );
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document.write( "change the names and it becomes:\r<BR>\n" );
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document.write( "In geometry, the segment addition postulate states that given two points M and P, a third point N lies on the line segment MP if and only if the distances between the points satisfy the equation MN + NP = MP\r<BR>\n" );
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document.write( "your overall segment is mn<BR>\n" );
document.write( "n is between m and p<BR>\n" );
document.write( "you are given that:<BR>\n" );
document.write( "mn = 3x + 2<BR>\n" );
document.write( "np = 18<BR>\n" );
document.write( "mp = 5x\r<BR>\n" );
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document.write( "the addition postulates says that mn + np = mp\r<BR>\n" );
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document.write( "replace mp with 5x and mn with 3x + 2 and np with 18 and you get:\r<BR>\n" );
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document.write( "3x + 2 + 18 = 5x\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "3x + 20 = 5x\r<BR>\n" );
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document.write( "subtract 3x from both sides of this equation to get:\r<BR>\n" );
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document.write( "20 = 5x - 2x\r<BR>\n" );
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document.write( "combine like terms to get:\r<BR>\n" );
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document.write( "20 = 2x\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 10\r<BR>\n" );
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document.write( "replace x with 5 and you get:\r<BR>\n" );
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document.write( "mn = 3x + 2 = 32<BR>\n" );
document.write( "np = 18<BR>\n" );
document.write( "mp = 5x = 50\r<BR>\n" );
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document.write( "mn + np = mp becomes 32 + 18 = 40 which becomes 50 = 50\r<BR>\n" );
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document.write( "your solution is that mn = 32\r<BR>\n" );
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