document.write( "Question 484179: Please help me to solve this equation: The measure of two complementary angles are 16z-9 and 4z+3. Find the measures of the angles.\r
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document.write( "please explain to me how you got the answer.
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document.write( "thanks \n" );
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Algebra.Com's Answer #331283 by chessace(471) You can put this solution on YOUR website! First one has to know what \"complementary\" means, which (if degrees are used instead of radians) is X + Y = 90. \n" ); document.write( "Subtitute to get 16z-9 + 4z+3 = 90 \n" ); document.write( "Add like terms (powers of z) to get 20z - 6 = 90 \n" ); document.write( "Both +6: 20z = 96 \n" ); document.write( "Both /20: z = 96/20 = 24/5 \n" ); document.write( "Sub this for z in the 2 angle expressions: \n" ); document.write( "16(24/5)-9 = (386-45)/5 = 339/5 = 67.8 \n" ); document.write( "4(24/5)+3 = (96+15)/5 = 111/5 = 22.2 \n" ); document.write( "Important double check: these add to 90. \n" ); document.write( " \n" ); document.write( " |