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Vitek1552 [10]
1 year ago
5

In the following diagram, BC is parallel to DE. What is x?

Mathematics
2 answers:
maria [59]1 year ago
7 0

Answer:

21

Step-by-step explanation:

Using alternate interior angles, we can conclude that angle C is equal to X (the 3rd, unmarked angle in the center triangle)

To find that 3rd angle, we can do 180 - 105 - 54. This is because all angles in a triangle must equal 180. Using this, we find that angle C is equal to 21. By the law, X must also equal 21.

SVETLANKA909090 [29]1 year ago
3 0

Answer:

x is 21

Step-by-step explanation:

add 54 and 105, then subtract it by 180 and you get 21.

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each school bus going on the field trip hold 36 students and 4 adults. There are 6 filled buses on the field trip. How many peop
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Hope this helped you.
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Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one
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Answer:

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Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

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Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

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Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

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Step-by-step explanation:

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