Answer:
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Mathematical proofs are used to determine if a conjecture or statement is true, or otherwise.
The blanks will be filled with the following texts
- Given
- Proved
From the question, the following parameters are given:
and
This means that, the first blank will be completed with given.
By converse of alternate interior angles theorem
--- angle 1 and angle 2 are congruent
So, the second blank will be completed with
The above statement means that:
has been proved
Hence, the last blank will be completed with proved.
Read more about mathematical proofs at:
brainly.com/question/2010495
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is
, the volume of a pyramid/cone is
.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
where r is the radius.
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
Features of a Parabola
The equation of a parabola can be written as: