document.write( "Question 1039830: Hi can someone please help\r
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document.write( "Find the measure of an angle whose complement is twenty nine times its measure. \n" );
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Algebra.Com's Answer #654576 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the angles are complements so their sum is 90 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let the first angle be x. \n" ); document.write( "let the second angle be y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you get x + y = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since y = 29 * x, we can replace y with 29 * x and the formula becomes x + 29x = 90.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get 30x = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 30 to get x = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y is equal to 29 * x, so y = 29 * 3 = 87.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y becomes 3 + 87 which becomes 90.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x and y are complements because their sum is 90.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that the angle whose complement is 29 times its measure is 3 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |