Time spent babysitting by Lucy = Tl = 4 hours
Time spent babysitting by Maria = Tm = x * 4 hours
Now we need to determine for what values of x is Tm > Tl
⇒ x * 4 > 4
⇒ x > 1
So for x > 1, Mary spends more time babysitting than Lucy does
Straight line: supplementary
Supplementary is sum of 180 degrees
x + 96 + 5x = 180 degrees
6x + 96 = 180
6x = 84, x = 14
Solution: x = 14
Check the picture below.
now, the "x" is a constant, the rocket is going up, so "y" is changing and so is the angle, but "x" is always just 15 feet from the observer. That matters because the derivative of a constant is zero.
now, those are the values when the rocket is 30 feet up above.
