document.write( "Question 231183: Please help me with this question: \"M is the midpoint of YZ. If YM=x+3 and YZ=3x-1, find MZ.
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document.write( "We know ym = 1/2(yz) Plug in teh numbers we know
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document.write( " x + 3 = 1/2(3x - 1) Solve
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document.write( " x + 3 = 1.5x - .5 Subtract 1.5x on both sides and subtract 3.
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document.write( " -.5x = -3.5 Divide -.5 on both sides
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document.write( " x = 7 Plug 7 into x + 3 and you have 10 = YM since It is the midpoint then MZ is also 10
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document.write( "RJ Toftness
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document.write( "www.math-unlock.com
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Algebra.Com's Answer #171124 by user_dude2008(1862)![]() ![]() ![]() You can put this solution on YOUR website! YM=MZ ----> YM+MZ=YZ\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "YM+MZ=YZ \n" ); document.write( "(x+3)+MZ=3x-1 \n" ); document.write( "MZ=3x-1-x-3 \n" ); document.write( "MZ=2x-4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "YM=MZ \n" ); document.write( "x+3=2x-4 \n" ); document.write( "3+4=2x-x \n" ); document.write( "7=x \n" ); document.write( "x=7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "MZ=2(7)-4=14-4=10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Ans: MZ=10 \n" ); document.write( " |