<h2>
Explanation:</h2>
In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m
Answer:
m<HGI=21°
Step-by-step explanation:
we know that
If GH bisects m<FGI then
m<FGH=m<HGI
substitute the values
(2x+1)°=(3x-9)°
solve for x
3x-2x=1+9
x=10°
The measure of angle HGI is equal to
(3x-9)° ------> substitute the value of x
3*10-9=21°
m<HGI=21°
Is it a right triangle?? If so use the Pythagorean theorem (a2+b2=c2)