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3 years ago

What is the value of x if line a is parallel to line b and is cut by a transversal?

Mathematics

1 answer:

Verizon [17]3 years ago

5 0

Answer:

x=35

Step-by-step explanation:

These are alternate interior angles. Since a and b are parallel, they are equal

5x - 54 = 3x+16

Subtract 3x from each side

5x-3x -54 = 3x -3x +16

2x -54 = 16

Add 54 to each side

2x-54+54 = 16+54

2x = 70

Divide each side by 2

2x/2 = 70/2

x = 35

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A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less

NISA [10]

Answer:

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2 years ago

P (A or B ). P(A or B) indicates _______. Choose the correct answer below. A. the probability that A and B both occur in the sa

Leokris [45]

Answer:

Option B is right

Step-by-step explanation:

P(A or B)

In set theory if A and B are two sets we have either A occurs or B occurs or both as

P(A or B) = P(AUB)

This implies that A occurs or B occurs

Probability is calculated as P(A)+P(B)-P(AB)

P(AB) here represents both occurring and this is subtracted as this was added two times

Option A is wrong because this is AB

Option C is wrong because it is not necessary A occurs first

D is wrong because this is A'UB' where A' represents the complement of A

So correct answer out of four options is

B. the probability that in a single trial, event A occurs, event B occurs, or they both occur.

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3 years ago

If AB=5 and BC =10 is it possible that AC=4

son4ous [18]

Yes depending on if ur talking about a triangle of not

8 0

3 years ago

No entendi lpM explicen

LuckyWell [14K]

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3 0

3 years ago

How many of the first million positive integers share no common factors greater than 1 with 2020

Bingel [31]

9514 1404 393

Answer:

396,040

Step-by-step explanation:

Factors of 2020 are 2, 5, 101.

There are 1,000,000 / 1010 = 990 multiples of 2 and 5 and 101.

There are 1,000,000 / 505 -990 = 990 multiples of 5 and 101 only.

There are 1,000,000 / 202 -990 = 3,960 multiples of 2 and 101 only.

There are 1,000,000 / 10 - 990 = 99,010 multiples of 2 and 5 only.

There are 1,000,000 / 101 -990 -990 -3960 = 3,960 multiples of 101 only.

There are 1,000,000 / 5 -990 -990 -99,010 = 99,010 multiples of 5 only.

There are 1,000,000 / 2 -990 -3960 -99,010 = 396,040 multiples of 2 only.

So, the total number of multiples of any factor of 2020 is ...

990 +990 +3960 +99,010 +3960 +99010 +396040 = 603960

Then the number of integers in the first million that do not share any common factors greater than 1 with 2020 is ...

1,000,000 -603,960 = 396,040

4 0

3 years ago