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Andrews [41]
2 years ago
15

Given m∥n, find the value of x.

Mathematics
1 answer:
kicyunya [14]2 years ago
6 0

Answer:

42

Step-by-step explanation:

Given m and n are parallel:

x + 138 = 180 because these angles are supplementary

subtract 138 from both sides

x = 42

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Step-by-step explanation:

the number of members in A municipal corporation depends upon the _______ city

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3 years ago
How are conditional probability and independent events related?
artcher [175]

Answer:

1. P(A|B) - option 2

2. does not affect - option 2

3. P(A) - option 1

Step-by-step explanation:

By the definition, the notation P(A|B) reads the probability of event A given that event B has occured. So, for the first gap correct choice is 2 - P(A|B).

If events A and B are independent, then the probability of event B occuring does not affect the probability of event A occuring. So, for the second gap correct choice is 2 - does not affect.

Events A and B are independent, then

P(A\cap B)=P(A)\cdot P(B)

Use formula for the conditional probability:

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

Since events A and B are independent, we get

P(A|B)=\dfrac{P(A)\cdot P(B)}{P(B)}=P(A)

So, for the third gap correct answer is 1 - P(A)

8 0
4 years ago
Can one line be shorter than the other and still be parallel
Tresset [83]
Yes, as long as the two lines never meet, they are parallel
6 0
4 years ago
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Varvara68 [4.7K]

The correct answer would be the first one

4 0
3 years ago
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lara31 [8.8K]

Answer: -7/5

Step-by-step explanation:

Use the slope formula. Change in y divided by the change in x

(0-7)/(6-1) = -7/5

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