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3 years ago

A ? to a theorem is a statement that follows immediately from the theorem.

Mathematics

2 answers:

AysviL [449]3 years ago

6 0

Answer:

<h2>Corollary.</h2>

Step-by-step explanation:

The complete statement would be

A corollary to a theorem is a statement that follows immediately from the theorem.

A corollary is defined as a true proposition derived from a theorem, which is a true statement that was demonstrated.

In geometry there are plenty corollaries which can be seeing as deduction, which are true because they are deducted by theorems which are true.

For example, there is a theorem that states "two angles that form a straight angle are supplementary". And a corollary of that theorem is "where two lines intersect, opposite angles are equal"

DaniilM [7]3 years ago

3 0

A conclusion to a theorem is a statement that follows immediately from the theorem. In a conditional statement, the statement that immediately follows the word then is the conclusion. Hope this answers the question. Have a nice day.

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What is the equation for the hyperbola shown?

castortr0y [4]

Answer:

$\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1$

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

$\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1$

In the graph a = 60 and b = 11

$\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1$ .

$\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1$

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2 years ago

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.

Nat2105 [25]

Answer: $\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}$

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

$9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}$

Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12

$10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}$

Note: 12² + opposite² = 20² → opposite = 16

$11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}$

Note: adjacent² + 5² = 6² → adjacent = √11

$12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}$

Note: adjacent² + 7² = (13√2)² → adjacent = 17

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3 years ago

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disa [49]

Answer:

I believe your answer is commutative property

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3 years ago

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m_a_m_a [10]

Answer:

can't be determined

Step-by-step explanation:

we would need to know the total number of bars/chips he brought

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Step-by-step explanation:

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3 years ago

A __?__ to a theorem is a statement that follows immediately from the theorem.

A ? to a theorem is a statement that follows immediately from the theorem.