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Flura [38]
3 years ago
8

Can someone please help and give the right answer

Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.

Statement                             Reason

RS ⊥ TS and RV ⊥ TV           Given

∠S = ∠V are right angles      Definition of perpendicular. Since RS ⊥ TS,

                                               hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°

ST ≅ VT                                  Given

RT ≅ RT                                  Reflexive property of congruence

ΔTSR  ≅ ΔTVR                      Hypotenuse leg congruence theorem. For

                                              two right triangles, if the hypotenuse and leg

                                              of one triangle is the same as the hypotenuse

                                              and leg of the second triangle, then the two

                                               triangles are congruent.

RS ≅ RV                                  Definition of congruency.

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Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
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Find the slope m.

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Use the slope and one of the points and plug into the point-slope formula.

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Given statement is that the first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.

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Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the re
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Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

\triangle p = 12\ million

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China

\triangle p = 12\ million

p_1 =1\ billion

Required

Determine the relative change for each country

Relative change, C is calculated as:

C = \frac{\triangle p}{p} * 100\%

For United States

C = \frac{12\ million}{300\ million} * 100\%

C = \frac{12}{300} * 100\%

C = \frac{12 * 100}{300}\%

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For China

C = \frac{12\ million}{1\ billion} * 100\%

C = \frac{12}{1000} * 100\%

C = \frac{12* 100}{1000} \%

C = \frac{1200}{1000} \%

C = 1.2\%

The relative change of the United States and China is 4% and 1.2%, respectively.

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