Question 845703
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Hi
{{{(4x+10)/sin(30) = (6x+2)/sin(45)}}}
{{{(2x+5)/sin(30) = (3x+1)/sin(45)}}}
{{{(2x+5)/(1/2) = (3x+1)/(sqrt(2)/2)}}}
{{{(2x+5) = (3x+1)/sqrt(2)}}}
{{{2sqrt(2)x+5sqrt(2) = (3x+1) )}}}
{{{3x - 2sqrt(2)x = 5sqrt(2) - 1}}}
{{{x(3 - 2sqrt(2)) = 5sqrt(2) - 1}}}
{{{x= (5*sqrt(2) - 1)/(3-2sqrt(2))}}}  |multiplying N & D by conjugate {{{(3+2sqrt(2))}}}
 {{{x =  (15sqrt(2)-3+20-2sqrt(2))/(9-8) = 17 + 13sqrt(2)}}}