1. Volume of the sphere
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:
Choice a
Answer:
x=4
Step-by-step explanation:
divide the x-value by the y-value. 9/36 =0.25.
0.25*16=4
x=4.
2. A
3. False
4.False
5. D
6. 18
Vertical Angles: Theorem and Proof
Theorem: In a pair of intersecting lines the vertically opposite angles are equal. It can be seen that ray \overline{OA} stands on the line \overleftrightarrow{CD} and according to Linear Pair Axiom, if a ray stands on a line, then the adjacent angles form a linear pair of angles.
The complete question in the attached figure
we know that
[scale]=1 in / 30 ft
scale=[measure in the drawing]/[measure in the actual]
[measure in the actual]=[measure in the drawing]/[scale]
so
[measure in the drawing]=1.25 in
scale=1/30
then
[measure in the actual]=[1.25]/[1/30]------> 1.25*30-----> 37.5 ft
the answer is<span>
the Actual height is 37.5 ft</span>
