document.write( "Question 209180: Suppose M is between L and N. Use the segment addition postulate to solve for this variable. Then find the lengths of LM MN and LN
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document.write( "LM 7y+9
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document.write( "MN= 3y+4
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document.write( "LN = 143
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document.write( "thank you \n" );
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Algebra.Com's Answer #158131 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! In geometry, the segment addition postulate states that if B is between A and C, then AB + BC = AC.\r \n" ); document.write( "\n" ); document.write( "We can apply this rule to answer your question.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L----------M----------N\r \n" ); document.write( "\n" ); document.write( "7y + 9 + 3y + 4 = 143\r \n" ); document.write( "\n" ); document.write( "10y + 13 = 143\r \n" ); document.write( "\n" ); document.write( "10y = 143 - 13\r \n" ); document.write( "\n" ); document.write( "10y = 130\r \n" ); document.write( "\n" ); document.write( "y = 130/10\r \n" ); document.write( "\n" ); document.write( "y = 13\r \n" ); document.write( "\n" ); document.write( "=======================\r \n" ); document.write( "\n" ); document.write( "LN = 7y + 9\r \n" ); document.write( "\n" ); document.write( "LN = 7(13) + 9\r \n" ); document.write( "\n" ); document.write( "LN = 100\r \n" ); document.write( "\n" ); document.write( "=======================\r \n" ); document.write( "\n" ); document.write( "MN = 3y + 4\r \n" ); document.write( "\n" ); document.write( "MN = 3(13) + 4\r \n" ); document.write( "\n" ); document.write( "MN = 39 + 4\r \n" ); document.write( "\n" ); document.write( "MN = 43\r \n" ); document.write( "\n" ); document.write( "======================\r \n" ); document.write( "\n" ); document.write( "You were given LN to be 143. So, there's no need to find it.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |