document.write( "Question 845703: Could you please help me with this problem? It's using perfect triangles and the sine rule - I can get it up to a point and have put it into wolfram alpha to get the solution, but I have no idea how to work it out properly: { { { (4x+10)/(sin(30°)) = (6x+2)/(sin(45°)) } } } for x \n" ); document.write( "
Algebra.Com's Answer #509421 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi
\n" ); document.write( "\"%284x%2B10%29%2Fsin%2830%29+=+%286x%2B2%29%2Fsin%2845%29\"
\n" ); document.write( "\"%282x%2B5%29%2Fsin%2830%29+=+%283x%2B1%29%2Fsin%2845%29\"
\n" ); document.write( "\"%282x%2B5%29%2F%281%2F2%29+=+%283x%2B1%29%2F%28sqrt%282%29%2F2%29\"
\n" ); document.write( "\"%282x%2B5%29+=+%283x%2B1%29%2Fsqrt%282%29\"
\n" ); document.write( "\"2sqrt%282%29x%2B5sqrt%282%29+=+%283x%2B1%29+%29\"
\n" ); document.write( "\"3x+-+2sqrt%282%29x+=+5sqrt%282%29+-+1\"
\n" ); document.write( "\"x%283+-+2sqrt%282%29%29+=+5sqrt%282%29+-+1\"
\n" ); document.write( "\"x=+%285%2Asqrt%282%29+-+1%29%2F%283-2sqrt%282%29%29\" |multiplying N & D by conjugate \"%283%2B2sqrt%282%29%29\"
\n" ); document.write( " \"x+=++%2815sqrt%282%29-3%2B20-2sqrt%282%29%29%2F%289-8%29+=+17+%2B+13sqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );