document.write( "Question 135169: Translate the following problems into algebraic equations:\r
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document.write( "1) In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle?\r
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document.write( "2) Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side?
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Algebra.Com's Answer #99011 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1) In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] What is the measure of each angle? \n" ); document.write( "------------------------- \n" ); document.write( "Let the 2nd angle be \"x\" \n" ); document.write( "Then \"one angle\" is \"2x\" \n" ); document.write( "3rd angle is 2x+10 \n" ); document.write( "---------------------- \n" ); document.write( "EQUATION \n" ); document.write( "x + 2x + 2x+10 = 180 \n" ); document.write( "5x+10 = 180 \n" ); document.write( "5x = 170 \n" ); document.write( "----------------- \n" ); document.write( "x = 34 (2nd angle) \n" ); document.write( "2x = 68 (one angle) \n" ); document.write( "2x+10 = 78 (3rd angle) \n" ); document.write( "------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "2) Tom’s uncle owns a triangular piece of land. The perimeter fence that surrounds the land measures 378 yards. The shortest side is 30 yards longer than one-half of the longest side. The second longest side is 2 yards shorter than the longest side. What is the length of each side? \n" ); document.write( " \n" ); document.write( " |