document.write( "Question 907688: <-W-----X-------Y-----------Z->\r
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document.write( "In the figure above, V, W, X, Y and Z represent points on a number line. If VW=WX=XY=YZ=3, W+Z=0 then V is
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document.write( "a.-7.5
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document.write( "b.-4.5
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document.write( "c.-1.5
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document.write( "d.1.5 \n" );
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Algebra.Com's Answer #550507 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( " _________________________________________________\r\n" ); document.write( " V | | W | | X | | Y | | Z \r\n" ); document.write( " ? ? ? ? ?\r\n" ); document.write( " \r\n" ); document.write( "Since W+Z = 0, Z=-W. Z is the negative (opposite) of Z.\r\n" ); document.write( "So Z must be as far to the right of 0 as Z is to the left \r\n" ); document.write( "of 0. That is, 0 must be at the midpoint between W and Z.\r\n" ); document.write( "\r\n" ); document.write( "We put 0 at the midpoint between W and Z, and we have\r\n" ); document.write( "\r\n" ); document.write( " _________________________________________________\r\n" ); document.write( " V | | W | | X | 0 | Y | | Z \r\n" ); document.write( " ? ? ? 0 ? ?\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Since W and Z are 9 units apart, and half of 9 is 4.5,\r\n" ); document.write( "W must be at -4.5 and Z at +4.5. So we have\r\n" ); document.write( "\r\n" ); document.write( " _________________________________________________\r\n" ); document.write( " V | | W | | X | 0 | Y | | Z \r\n" ); document.write( " ? -4.5 ? 0 ? 4.5 \r\n" ); document.write( " \r\n" ); document.write( "Then we can fill in for the other question marks, since\r\n" ); document.write( "they are all spaced 3 between each two adjacent letters:\r\n" ); document.write( "\r\n" ); document.write( " _________________________________________________\r\n" ); document.write( " V | | W | | X | 0 | Y | | Z \r\n" ); document.write( "-7.5 -4.5 -1.5 0 1.5 4.5\r\n" ); document.write( "\r\n" ); document.write( "The answer is -7.5, choice a.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |