document.write( "Question 212351: x, y, and z are points on a line\r
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document.write( "angles are formed by line segments yu, yw\r
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document.write( "angle wyx=2(12b+7) and angle zyu=9b-1, find angle uyw.\r
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document.write( "good luck. i know i need it. \n" );
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Algebra.Com's Answer #160631 by Theo(13342) You can put this solution on YOUR website! angle wyx=2(12b+7) = 24b + 14 \n" ); document.write( "angle zyu = 9b-1 \n" ); document.write( "----- \n" ); document.write( "xyz are points on a line. x is on the left, y is in the middle, z is on the right. \n" ); document.write( "draw 2 points above the line. \n" ); document.write( "left point is w and right point is u. \n" ); document.write( "make a line from w to y and from u to y. \n" ); document.write( "looks like they form a v with w being the left top of the v and u being the right top of the v and y being the bottom of the v. \n" ); document.write( "----- \n" ); document.write( "these lines form 3 angles that when added together are equal to 180 degrees. \n" ); document.write( "these angles are: \n" ); document.write( "wyx is the left angle \n" ); document.write( "wyu is the middle angle \n" ); document.write( "uyz is the right angle \n" ); document.write( "----- \n" ); document.write( "wyx = 2 * (12b+7) = 24b + 14 (given) \n" ); document.write( "uyz = 9b-1 (given) \n" ); document.write( "----- \n" ); document.write( "this makes angle wyu = 180 - (24b+14) - (9b-1) \n" ); document.write( "this becomes: \n" ); document.write( "wyu = 180 - 24b - 14 - 9b + 1 which becomes: \n" ); document.write( "wyu = 180 - 33b - 13 which becomes: \n" ); document.write( "wyu = 167 - 33b \n" ); document.write( "----- \n" ); document.write( "the 3 angles when added together should equal 180. \n" ); document.write( "24b + 14 + 9b - 1 - 33b + 167 equals: \n" ); document.write( "33b - 33b + 167 + 13 which equals: \n" ); document.write( "180 \n" ); document.write( "----- \n" ); document.write( "this confirms the calculations are good and that angle wyu = 167 - 33b \n" ); document.write( "-----\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |