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Veseljchak [2.6K]
4 years ago
5

Need help with this (Venn Diagram with with Exponents, Radicals, and Polynomials)

Mathematics
1 answer:
sertanlavr [38]4 years ago
7 0

Answer:

  true, false, true, true

Step-by-step explanation:

The set names in this diagram have nothing to do with exponents, radicals, and polynomials. We'll take the diagram at face value.

(a) The labels on the sets seem to be appropriately placed.

__

(b) "Some" in this context means "any or all of the set". Since all of the circle representing integers is outside the rectangle representing irrational numbers, it is TRUE that some integer are not irrational numbers.

No part of the circle representing whole numbers is inside the rectangle representing irrational numbers, so it is FALSE that some whole numbers are irrational numbers.

A portion of the circle representing integers is outside the circle representing whole numbers, so it is TRUE that some integers are not whole numbers.

Every part of the circle representing whole numbers is inside the rectangle representing rational numbers, so it is TRUE that all whole numbers are rational numbers.

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The missing angles in the triangle is as follows:

  • ∠1  = 62.5°
  • ∠2 = 62.5°
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<h3>How to find the measure of angles in a triangle?</h3>

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

∠3 = 55 degrees (vertically opposite angles)

Vertically opposite angles are congruent to each other.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Using exterior angle theorem ,

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Therefore, the other triangle is an isosceles triangle. This means the base angles are equal.

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Hence,

∠1  = ∠2 = 62.5 degrees.

learn more on angles here: brainly.com/question/28641859

#SPJ1

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