document.write( "Question 615651: This is a problem on my Geometry Study guide for the final exam:
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document.write( "SR is a diameter of circle M.
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document.write( "Measurement of angle RMT = (x+5)degrees,
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document.write( "measurement of angle UMR = (x+10)degrees, and
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document.write( "measurement of angle SMT = (3x-5)degrees.
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document.write( "What is the value of x?
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document.write( "The answer is 45 but I do not know how to solve this problem.
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document.write( "Thank you \n" );
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Algebra.Com's Answer #387267 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! This is a problem on my Geometry Study guide for the final exam: \n" ); document.write( "SR is a diameter of circle M. \n" ); document.write( "Measurement of angle RMT = (x+5)degrees, \n" ); document.write( "measurement of angle UMR = (x+10)degrees, and \n" ); document.write( "measurement of angle SMT = (3x-5)degrees. \n" ); document.write( "What is the value of x? \n" ); document.write( "The answer is 45 but I do not know how to solve this problem. \n" ); document.write( "Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It's best to draw a diagram, so everything will be clearer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since this is circle M, then M will be the center-point of the circle. This means that the diameter is SMR, since a diameter goes through the center of a circle\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since angle RMT = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 5 + 3x – 5 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3x + 5 - 5 = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Angle UMR is insignificant, regardless of where it's drawn.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |