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3 years ago

Which of the following can be used to explain a statement in a geometric proof? Check all that apply.

Mathematics

2 answers:

nata0808 [166]3 years ago

7 0

Answer: A-theorem B-corollary C-Postulate E-Definition

Step-by-step explanation:

We know that a postulate is a statement that is assumed to be true. So it is used to prove other geometric statements.

Also the theorems are the statement that can be considered to be true by accepted mathematical operations and arguments.

A corollary is a theorem connected by a short proof to an existing theorem.

A definition is a statement of the meaning of a term , which is absolutely used to prove statements.

So , A,B.C,E are the correct options.

nikitadnepr [17]3 years ago

5 0

The <em><u>correct answers</u></em> are:

A-theorem ; B-corollary ; C-Postulate ; and E-Definition.

Explanation:

In a proof, we are tasked with proving one statement using other information that has already been proven.

Theorems are statements that have already been proven, and are used to prove other statements.

A postulate is a statement that is assumed to be true, and is used to prove other statements.

A corollary is a direct consequence of a proven fact, and as such, are used to prove other statements.

A definition is an absolute truth, so it can also be used to prove another statement.

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What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter

n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

$Area = \frac{\alpha }{360} * \pi r^2$

Where $\alpha$ represents the central angle and r represents the radius

By substituting $\alpha = 120$ and r = 3

$Area = \frac{\alpha }{360} * \pi r^2$ becomes

$Area = \frac{120}{360} * \pi * 3^2$

$Area = \frac{1}{3} * \pi * 9$

$Area = \pi * 3$

$Area = 3\pi$ square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for $\pi$

So, $Area = 3\pi$ becomes

$Area = 3 * 3.14$

$Area = 9.42$ square units

Hence, the area of the sector in the attached figure is $3\pi$ or 9.42 square units

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3 years ago

What integer describes a decrease of seven? (A. 7 / B. -7 / C. 0 / D. 1/7)

Pie

Answer:

I thin B -7 cause its negative and negative goes down.

Step-by-step explanation:

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2 years ago

Answer the question below:

marissa [1.9K]

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2 years ago

Read 2 more answers

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−

Neko [114]

Answer:

$P(x) = x^3 - 10x^2+ 34x-40$

Step-by-step explanation:

Given

$p =1$ -- Leading coefficient

$Zeros: 4\ and\ 3 - i$

Required

Determine the polynomial

Represent the zeros with a and b

Such that

$a = 4$

$b = 3 - i$

The polynomial is:

$P(x) = p * (x - a) * (x - b)$

$P(x) = 1 * (x - 4) * (x - (3 - i))$

However, to solve further: We need to symmetrise over 3-i and its conjugate

$P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))$

$P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\$

To define a suitable function, the expression becomes

$P(x) = (x - 4) * ((x - 3)^2+1)$

$P(x) = (x - 4) * ((x - 3)(x - 3)+1)$

$P(x) = (x - 4) * (x^2 - 6x + 9+1)$

$P(x) = (x - 4) * (x^2 - 6x +10)$

Open bracket

$P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40$

$P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40$

$P(x) = x^3 - 10x^2+ 34x-40$

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2 years ago

An object has a mass of 20 g and a volume of 5 cm3. What is the object's density?

Nezavi [6.7K]

4 g/cm^3

D=MV

D=20g(5 cm^3)

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3 years ago