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MrRissso [65]
3 years ago
8

The diagram shows the universal set U = {parallelograms}. Set A represents parallelograms with four congruent angles .

Mathematics
2 answers:
tino4ka555 [31]3 years ago
3 0
26 is the number of the parallelograms that fall into the category A U B. In this universal set, you must likely to find 26 parallelograms that fall into the category A U B. With 4 congruent sides and four congruent angles in set A and B we can see 26 parallelograms that fall into the category A U B.
8090 [49]3 years ago
3 0

Answer:  The number of parallelograms that fall into the category A ∪ B is 26.

Step-by-step explanation:  The given diagram shows the universal set U defined by

U = {parallelograms}.

Set A represents parallelograms with congruent sides and set B represents parallelograms with four congruent angles.

We are to find the number of parallelograms that fall into the category A ∪ B.

From the diagram, we find that

n(A)=12+8=20,\\\\n(B)=6+8=14,\\\\n(A\cap B)=8,\\\\n(A\cup B)=?

From set theory, we have

n(A\cup B)=n(A)+n(B)-n(A\cap B)=20+14-8=26.

Thus, the number of parallelograms that fall into the category A ∪ B is 26.

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Answer and Step-by-step explanation:

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Step-by-step explanation:

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Answer:

<h3>1. t=10</h3><h3>2. t=4</h3><h3>3. t=40</h3>

Step-by-step explanation:

Isolate the term of t from one side of the equation.

<h3>1. 4t=40</h3>

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

<h3><u>t=10</u></h3>

<h3>2. 10+t=14</h3>

<u>First, change sides.</u>

t+10=14

<u>Then, subtract by 10 from both sides.</u>

t+10-10=14-10

<u>Solve.</u>

<u>Subtract the numbers from left to right.</u>

14-10=4

<h3><u>t=4</u></h3>

<h3>3. 70-t=30</h3>

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

<u>Rewrite the problem down.</u>

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

<u>Solve.</u>

<u />

<u>Divide the numbers from left to right.</u>

-40/-1=40

<h3><u>t=40</u></h3>

  • <u>Therefore, the correct answer is t=10, t=4, and t=40.</u>

I hope this helps! Let me know if you have any questions.

6 0
2 years ago
Read 2 more answers
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