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Schach [20]
3 years ago
6

Find the value of x in the given figure using properties of parallel lines.

Mathematics
2 answers:
marshall27 [118]3 years ago
7 0

Answer:

x =42

Step-by-step explanation:

x and 138 are same side interior angles.  Same side interior angles are supplementary when the lines are parallel

x+138 = 180

x = 180-138

x =42

xxMikexx [17]3 years ago
7 0

Answer:

42°

Step-by-step explanation:

138° + x = 180°

180° - 138° = 42°

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3/4ths multiplied by x equals 4 7/8ths what is x
alexandr402 [8]

Answer:

x=13/2

Step-by-step explanation:

3/4x=4 7/8

x= 4 7/8 divided by 3/4

x=13/2

check

3/4*13/2=39/8

=4 7/8

7 0
3 years ago
Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries
kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535


P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465

64.65% probability of at least one injury commuting to work in the next 20 years

3 0
3 years ago
5. Tom had 321 dollars to spend on 9 books. After buying them he had 15 dollars. How much
Andrew [12]

Answer:

It should be $34

Step-by-step explanation:

321 - 15 = 306 ÷ 9 = 34

8 0
2 years ago
Two thirds the sum of 30 and a number is 26 write this statement out as an equation and solve
zloy xaker [14]

Answer:s

Step-by-step explanation:

Let the number be x

2/3(30+x) = 26

2(30+x) = 26(3)

60 + 2x = 78

2x = 78 - 60

2x = 18

x = 18/2

x = 9

7 0
3 years ago
(giving brainiest and thanks on the answer and question if correct!
liraira [26]

Answer:

it is option A

Step-by-step explanation:

4 0
3 years ago
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