document.write( "Question 1013260: This question is not worded, just a drawing so I am not sure what 2x-5 is representing, but here is what i can make of it : In Triangle CAB, BC is extended through point D. Angle CAB = 38 degrees,
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document.write( "side AC (or angle ACD)= 2x-5, and BC = x+3.\r
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document.write( "What is the measure of angle ACD?\r
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document.write( "What is the measure of BC? \n" );
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Algebra.Com's Answer #629565 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! In Triangle CAB, BC is extended through point D. Angle CAB = 38 degrees, \n" ); document.write( "side AC (or angle ACD)= 2x-5, and BC = x+3. \n" ); document.write( ": \n" ); document.write( "What is the measure of angle ACD?\r \n" ); document.write( "\n" ); document.write( "Is this drawn as a right triangle, angle B = 90 degrees? \n" ); document.write( "then \n" ); document.write( "angle ACB = 180 - 90 - 38 = 52 degrees \n" ); document.write( "therefore \n" ); document.write( "angle ACD = 180 - 52 = 128 degrees \n" ); document.write( "Also \n" ); document.write( "sin(38) = \n" ); document.write( ".61566 = \n" ); document.write( ".62566(2x-5) = x + 3 \n" ); document.write( "1.23x - 3.078 = x + 3 \n" ); document.write( "1.23x - x = 3 + 3.078 \n" ); document.write( ".23x = 6.078 \n" ); document.write( "x = \n" ); document.write( "x = 26.427 \n" ); document.write( ": \n" ); document.write( "What is the measure of BC? \n" ); document.write( "26.427 + 3 = 23.427 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "If this is not a right triangle none of this applies, it becomes a much more complicated problem \n" ); document.write( " |