Angle Y is a right angle, so it’s 90 degrees. Angle W is 2x, since it’s opposite angles on a single line intersecting parallel lines. Triangles have 180 degrees, so adding up all sides creates the equation to solve:
X+Y+W=180
(3x-5)+90+2x=180
5x+85=180
5x=95
x=19
COS(64°) = 3.2/x
multiply x to both sides to get COS(64°)x = 3.2
to get x by itself, divide 3.2 by COS(64°)
x = 3.2/COS(64°)
x=7.3
K= -f(x)+gx
Solve for k by simplifying both sides of the function then isolating the variable