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Murljashka [212]
3 years ago
12

Where would you place root 8 on the Venn diagram? A) integers B) natural numbers C) rational numbers D) irrational numbers

Mathematics
1 answer:
tangare [24]3 years ago
7 0

Answer:

Option (D)

Step-by-step explanation:

All rational and irrational numbers are real numbers.

{-2, -1, -1.8, 0, 1, 2.......}

Numbers written in the form of \frac{p}{q} are rational numbers. They are the part of irrational numbers.

{-2.5, -2, -1, 0, 1, 2.....}

Whole numbers with negative or positive notation are integers.

{-3, -2, -1, 0, 1, 2, 3, 4......}

Positive integers are the whole numbers (including zero).

{0, 1, 2, 3, 4, .......}

All whole numbers excluding zero are the natural numbers.

{1, 2, 3, 4,........}

Irrational numbers are the part of real numbers written in the form of \frac{p}{q}.

{\sqrt{2},\sqrt{5},\pi, \sqrt{10}}

Therefore, \sqrt{8} comes under Irrational numbers.

Option (D) is the answer.

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Given the information in the diagram below, find the measure of angle N. Use RACE and complete sentences to show how you found t
Sonja [21]

Answer:

m<N = 76°

Step-by-step explanation:

Given:

∆JKL and ∆MNL are isosceles ∆ (isosceles ∆ has 2 equal sides).

m<J = 64° (given)

Required:

m<N

SOLUTION:

m<K = m<J (base angles of an isosceles ∆ are equal)

m<K = 64° (Substitution)

m<K + m<J + m<JLK = 180° (sum of ∆)

64° + 64° + m<JLK = 180° (substitution)

128° + m<JLK = 180°

subtract 128 from each side

m<JLK = 180° - 128°

m<JLK = 52°

In isosceles ∆MNL, m<MLN and <M are base angles of the ∆. Therefore, they are of equal measure.

Thus:

m<MLN = m<JKL (vertical angles are congruent)

m<MLN = 52°

m<M = m<MLN (base angles of isosceles ∆MNL)

m<M = 52° (substitution)

m<N + m<M° + m<MLN = 180° (Sum of ∆)

m<N + 52° + 52° = 180° (Substitution)

m<N + 104° = 180°

subtract 104 from each side

m<N = 180° - 104°

m<N = 76°

4 0
3 years ago
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