Help with part C) Find <HMG, can't seem to get the correct answer.

Since is the midpoint of $AB$ , can you find the length of line segment joining midpoint of $HG$ and $M$??

that line will bisect HG and will be perpendicular to it , right?

in the plane $HMG$

the you have the length of altitude and the side opposite to it in the smaller triangle formed.

$\tan\left(\frac{\angle HMG}{2}\right)=\frac{3}{ \text{ length of altitude}}$

can you take it from here?

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0