Decide if the following is a true or false statement - explain how you know
1 answer:
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Answer:
Vertical angles are always congruent.
Step-by-step explanation:
Vertical angles are formed when two straight lines intersect each other, thereby forming two pairs of opposite angles, which are called vertical angles. Thus, a pair of these vertical angles formed are congruent to each other. So therefore, if two angles are said to be vertical angles, it follows that they are congruent to each other.
Using the diagram attached below, we can see two straight lines intersecting each other to form two pairs of vertical angles:
<a and <b,
<c and <d.
Thus, <a is congruent to <b, and <c is congruent to <d.
Therefore, the standby that is true about vertical angles is that:
Vertical angles are always congruent.
Answer:
250π
1000π
Step-by-step explanation:
(refer to attached)
volume of cylinder is given by:
V = π r²h,
where r = radius of base and h = height of cylinder
Given r = 5 and h = 10, hence
V = π r²h
V = π (5)²(10)
V = π (25) (10)
V = 250π (answer)
For the second case, r = 10 cm
V = π r²h
V = π (10)²(10)
V = π (100) (10)
V = 1000π (answer)
