Answer:
2,4,5
Step-by-step explanation:
Answer:
b) -4
Step-by-step explanation:
Well your at 2 and going to -2 so on a number line you be going back or left.
Going two left gets you to zero and going two more get you -2. So in total you went back four and that be represented as -4.
140° + ∠5 = 180° <em>same side interior angles </em>⇒ ∠5 = 40°
∠2 ≅ ∠5 <em>vertical angles ⇒ </em>∠2 = 40°
∠8 = 53° <em>alternate interior angles</em>
∠3 ≅ ∠8 <em>vertical angles ⇒ </em>∠3 = 53°
x + ∠2 + ∠3 = 180° <em>triangle sum theorem</em>
x + 40° + 53° = 180°
x + 93° = 180°
x = 87°
Answer: 87°
Note: I just realized that there is an easier way to solve this:
∠9 + 53° + x = 180° <em>triangle sum theorem</em>
140° + ∠9 = 180° <em>supplementary angles </em>⇒ ∠9 = 40°
40° + 53° + x = 180°
x + 93° = 180°
x = 87°
Use whichever solutions makes sense to you.
Answer:
67.014
Step-by-step explanation:
V = π r^2 (h/3)
(Volume equals pi r squared, h over 3)
Diameter is 4, so the radius is half of that = 2
Plug in the numbers
V = π (2^2) (16/3)
V = π (4) (5.333)
V = 3.14 x 4 = 12.566
V = 12.566 x 5.333
V = 67.014
The volume of the cylinder is 31.4 in³.
The volume can be calculated with the following formula:
V=
r²h
V=×1² in×10 in
V=×10 in²
V≈31.4 in³
