in right triangle abc with the right angle c , sinA = 2x + 0.1 and cosB = 4x - 0.7 determine and state the value of X . explain your answer

If the right angle is C, then that must mean that B and A are not right angles and they are opposite of each other (in the triangle). So, if you can imagine such a triangle, you will easily see that cos(B) = sin(A). Based on this, we can:
[tex]4x-0.7=2x+0.1[/tex]
[tex]4x=2x+0.8[/tex]
[tex]2x=0.8[/tex]
[tex]x = 0.4[/tex]

So, x = 0.4, and the answer is explained above.