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3 years ago

The definition of theorem?

Mathematics

1 answer:

charle [14.2K]3 years ago

5 0

Answer:

In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.

Step-by-step explanation:

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Which statement about the angle measures is true?

sattari [20]

Answer:

Option (4)

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles."

In the triangle ABC,

∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.

m∠ACD = m∠BAC + m∠ABC

95° = m∠BAC + m∠ABC

Therefore, Option (4) will be the correct option.

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3 years ago

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Step-by-step explanation:

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2 years ago

How can you get to 62 by using 2?

zhannawk [14.2K]

Could you do 31 add 31 which would also be 31 multiplyed by 2
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3 years ago

Read 2 more answers

If x = -5 <br><br> x2 + 3<br> x - 2

MAXImum [283]

Answer:

Step-by-step explanation:

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2 years ago

The graph represents the journey of a bus from the bus stop to different locations:

Igoryamba

Answer:

Part A:

For number 1, the bus drives non-linear. It is not a constant rate but it is increasing.

For number 2, the bus is at a stopping point.

For number 3, the bus drives in a non-linear rate but it still increasing.

For number 4, the bus is at its last stop, the middle of the bus ride, the peak of the time.

For number 5, the bus comes to a non-linear decrease in the route. and eventually the end.

Part B:

The bus is increasing in numbers 1 and 3, and decreasing for number 5, and at a constant at numbers 2 and 4.

Part C:

The graph is non-linear, as the slope is not at a constant.

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2 years ago

The definition of theorem? ​

The definition of theorem?