document.write( "Question 209173: Find the measure of Y if Y is six more than three times it complement. \n" ); document.write( "
Algebra.Com's Answer #158122 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Let y be the angle, and \n" ); document.write( "90-y = the complement of the angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The statement you gave is \r \n" ); document.write( "\n" ); document.write( "\"Y is six more than three times the complement\". Just translate it into math symbols:\r \n" ); document.write( "\n" ); document.write( "y= 3(90-y) + 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, solve for y: \n" ); document.write( "y = 270 -3y +6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add +3y to each side and combine the 270 + 6 \n" ); document.write( "y + 3y = 276 - 3y + 3y \n" ); document.write( "4y = 276\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 4: \n" ); document.write( "y = 276/4= 69 = The angle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "90-y = 90 - 69=21 = The complement\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check the equation:\r \n" ); document.write( "\n" ); document.write( "y= 3(90-y)+6 \n" ); document.write( "69= 3(21) + 6 \n" ); document.write( "69= 63+6\r \n" ); document.write( "\n" ); document.write( "It checks!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje \n" ); document.write( "Seminole Community College\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |