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Nitella [24]
2 years ago
10

Quiz

English
1 answer:
LenKa [72]2 years ago
6 0

The statement that would be MOST appropriate to include in an accurate and objective summary of the Declaration is: D. The Universal Declaration was intended to advance respect for all people regardless of their apparent  differences.

<h3>What is an Objective Summary?</h3>

An objective summary is free from emotions. It states the facts and addresses the main points in the text. The Universal Declaration of Human Rights advocated for equal rights and freedom from slavery.

The right to liberty, life, and free speech were all advocated for by the Universal Declaration. Option D clearly states the objective of this Universal Declaration.

Learn more about Objective Summary here:

brainly.com/question/25046487

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Victor draws one side of equilateral APQR on the coordinate plane at points P(-9, -2) and Q (-2,-2). What are the two possible c
oksian1 [2.3K]

Answer:

The possible coordinates for R are contained in the following expression:

R(x,y) = (-5.5, -2\pm 6.1)

Explanation:

From statement we notice that line segment PQ is parallel to x-axis and by Geometry we know that an equilateral triangles have three side with equal length and three angles of 60°. In consequence, the height of the triangle is parallel to the y-axis and the possible coordinates for point R are contained in this equation:

R(x,y) = (x_{M,PQ}, y_{M,PQ} \pm l_{PQ}\cdot \sin 60^{\circ}) (1)

Where:

x_{M, PQ}, y_{M,PQ} - Coordinates of the midpoint of the line segment PQ.

l_{PQ} - Side length of the line segment PQ.

The length of the line segment PQ is determined by the Pythagorean Theorem:

l_{PQ} = \sqrt{(x_{Q}-x_{P})^{2}+(y_{Q}-y_{P})^{2}} (2)

If we know that P(x,y) = (-9, -2) and Q(x,y) = (-2, -2), then the length of the line segment PQ is:

l_{PQ} = \sqrt{[-2-(-9)]^{2}+[(-2)-(-2)]^{2}}

l_{PQ} = 7

And the coordinates of the midpoint are, respectively:

M(x,y) = \frac{1}{2}\cdot (-9, -2) + \frac{1}{2}\cdot (-2, -2)

M(x,y) = \frac{1}{2}\cdot (-11, -4)

M(x,y) = \left(-\frac{11}{2}, -2 \right)

Lastly, the possible coordinates of vertex R are, respectively:

R(x,y) = \left( -\frac{11}{2},-2\pm 7\cdot \sin 60^{\circ} \right)

R(x,y) = (-5.5, -2\pm 6.1)

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After a parrotfish eats algae-covered coral, the coral travels through the fish's digestive system, and then it is deposited in the reef as white coral sand. Sentence that has one independent clause and no subordinate clauses.

Explanation:

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3 reasons to support your claim

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Answer:

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I hope this helps some! :) Have a lovely day!

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