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Lena [83]
3 years ago
14

Choose all true statements.

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

In mathematics, the numbers were classified into different sets that are:

Real Numbers: A set made up of natural, integer, rational, and irrational numbers.

Natural Numbers: A set of numbers that are used to count, is denoted by N, and is N = {1,2,3,4,5, ...}. For every natural number n, there is its next one represented by n + 1.

Whole Numbers: A set made up of natural numbers, their opposites (negative), and zero.

Rational Numbers: A set made up of all the quotients of two whole numbers where the denominator is different from zero

Irrational Numbers: A set made up of all infinite non-periodic decimal numbers.

Based on the above definitions, it can be inferred that the true statements are:

  • Some rational numbers are natural numbers
  • All integers are integers
  • Some integers are natural numbers

Learn more in: brainly.com/question/10547079

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Answer:

The answer is below

Step-by-step explanation:

Distance between two points A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane

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The area of rectangle = length * breadth

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E(x, y) is midpoint of line DC. Its coordinate is:

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The coordinate of E = (3, 0)

F(a, b) is midpoint of line DA. Its coordinate is:

a = (0 + 0) / 2 = 0; b = (4 + 0) / 2 = 2

The coordinate of E = (0, 2)

The area of rectangle DEGF = |DE| * |DF|

|DE|=\sqrt{(3-0)^2+(0-0)^2}=3\\\\|DF|=\sqrt{(0-0)^2+(2-0)^2} =2

The area of rectangle ABCD = |DE| * |DF| = 3 * 2 = 6

Therefore, area of rectangle DEGF is one fourth the area of rectangle ABCD

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