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2 years ago

Plato explains that we know geometry by _________.

1 answer:

7 0

Plato explains that we know geometry by our gain knowledge through recollection. Our soul is what recollects this place hence we came where there exist unchanging truths. Delivered the theory of Forms, according to which the world people know by means of the senses is just an imitation of the eternal, pure, eternal, and fixed world of the Forms.

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Triangle R T S is sitting on a horizontal line. Line S R extends through point Q to form exterior angle T R Q. Angle R T S is (2

Firlakuza [10]

Answer:

The value of x is 3 ⇒ 2nd answer

Step-by-step explanation:

An exterior angle is the angle between one side of a triangle and the

extension of an adjacent side

The measure of an exterior angle at any vertex of a triangle equal the

sum of the measures of the two opposite interior angles

- Triangle R T S is sitting on a horizontal line

- Line S R extends through point Q to form exterior angle T R Q

- m∠RTS is (25 x)°, m∠TSR is (57 + x)° , m∠TRQ is (45 x)°

* Lets find the value of x

∵ ∠TRQ is an exterior angle of Δ RTS at the vertex R

∵ The opposite interior angles to vertex R are ∠RTS and ∠TSR

∴ m∠TRQ = m∠RTS + m∠TSR ⇒ as the rule above

∵ m∠TRQ = (45 x)°

∵ m∠RTS = (25 x)°

∵ m∠TSR = (57 + x)°

Substitute these measures in the equation above

∴ 45 x = 25 x + 57 + x

∴ 45 x = 26 x + 57

Subtract 26 x from both sides

∴ 19 x = 57

Divide both sides by 19

∴ x = 3

* The value of x is 3

3 0

2 years ago

Read 2 more answers

Assume that the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are norma

kotykmax [81]

Answer:

0.00

Step-by-step explanation:

If the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are normally distributed, to calculate the probability that a test taker scores at least 1600 on the test, we should first to calculate the z-score related to 1600. This z-score is $z=\frac{1600-1010}{200}=2.95$ , then, we are seeking P(Z > 2.95), where Z is normally distributed with mean 0 and standard deviation 1. Therefore, P(Z > 2.95) = 0.00

4 0

2 years ago

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Which three-dimensional figure has half the number of vertices as the rectangular prism?

monitta

Answer:

1. The rectangular prism is a right prism with rectangular bases (check the picture)

2. It has 8 vertices, so we are looking for 3d figures with 4 vertices.

3. A face can have at least 3 vertices, and the 4th must be outside of the plane determined by the first 3 vertices. This makes 4 vertices in total.

4. The 3d figure described in step 3 is a pyramid.

so the answer is prism

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Could 10.5\text{ cm}, 8.0\text{ cm},10.5 cm,8.0 cm,10, point, 5, start text, space, c, m, end text, comma, 8, point, 0, start te

Reptile [31]

Answer:

Yes, 10.5 cm, 8.0 cm and 4.0 cm can be the side lengths of a triangle.

Step-by-step explanation:

We have been given three lengths as 10.5 cm, 8.0 cm and 4.0 cm. We are asked to determine whether these side can be the side lengths of a triangle.

We will use triangle inequality theorem to solve our given problem.

Triangle inequality theorem states that sum of two sides of a triangle must be greater than 3rd side. Using triangle inequality theorem we will get 3 inequalities as:

$10.5+8.0>4.0$

$18.5>4.0$ True

$8.0+4.0>10.5$

$12.0>10.5$ True

$10.5+4.0>8.0$

$14.5>8.0$ True

Since all the three side lengths satisfy triangle inequality theorem, therefore, 10.5 cm, 8.0 cm and 4.0 cm can be the side lengths of a triangle.

3 0

2 years ago

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant?

Savatey [412]

Answer:

Step-by-step explanation:

the graph has no side value, therefore the answer is 0

4 0

2 years ago