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The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent sides, while B represents parallelograms with four congruent angles. Circles A and B overlap. Circle A contains 12, Circle B contains 6, and the overlap contains 8. Number 3 is outside of the circles. How many of the parallelograms fall into the category A U B? 6 8 18 26

The diagram shows the universal set U parallelograms Set A represents parallelograms with four congruent sides while B represents parallelograms with four congr class=

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Answer:

the answer is 26

Step-by-step explanation:

took the test

26 parallelograms fall into the category A U B. Therefore, option D is the correct answer.

We need to find how many of the parallelograms fall into the category AUB.

How to find the number of elements of AUB in the Venn AUBdiagram?

n(A) + n(B) gives the total number of elements that are in A and the elements in B including the elements that are common. This implies that the number of common elements is counted twice. Hence, to balance that and make sure that all the elements are counted just once, we subtract n(A ∩ B) from n(A) + n(B) and hence the formula for the number of elements in A U B is: n(A U B) = n(A) + n(B) - n(A ∩ B).

Now, n(A U B) = 20 + 14 - 8=26

26 parallelograms fall into the category A U B. Therefore, option D is the correct answer.

To learn more about the Venn diagrams visit:

https://brainly.com/question/1605100.

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