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Schach [20]
3 years ago
8

Use the diagram to answer the question. Information Question What is the measure of the angle?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Step-by-step explanation:

the measure of the angle = 120°

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Savannah planned to evenly disperse 400 chocolate chips among the x pans of brownies. Unfortunately, the last pan of brownies re
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400 - 32 which equals 368
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Mr. Bryon bought a gas can with 4 1/4 gallons of gasoline in it. He used 1/4 of the amount in the can to mow his lawn. How many
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Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.
DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

|E \cup F| = |E| + |F| - |E \cap F|

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

|A \cap B \cap C| = 5

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

|B \cap C| = 11

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0
2 years ago
If you could just refresh me on how to do this, thanks.
Masteriza [31]
I'm pretty sure it's D
8 0
2 years ago
Someone please help me with the unanswered questions
Alex787 [66]

Answer:

3) 87.9 or 1) 12.5

Step-by-step explanation:

they did multiply then subtract

7 0
2 years ago
Read 2 more answers
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