1. Volume of the sphere
[tex] V = \frac 4 3 \pi r^3 = \frac 4 3 \pi ( 8^ 3) = \dfrac{2048 \pi}{3} \approx
2144.66 [/tex]
Choice c
2. Algebra making a token effort to pretend to be geometry. Complementary angles add to 90 degrees.
(x+1) + (x-3)=90
2x -2 = 90
2x = 92
x = 46
Angles x+1=47 and x-3=43
Choice b
3. midpoint A=-5, E=5
The midpoint is just the average of A and E, here zero, point D
choice b
4. I can't really tell if x is supposed to be an angle or a length in this figure; presumably a length. I suppose we're to assume parallel lines; so this makes similar shapes, i.e. a proportionality:
[tex] \dfrac{24}{x} = \dfrac{36}{12} =3 [/tex]
[tex] x = \dfrac{24}{3} = 8[/tex]
Choice a
