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PolarNik [594]
2 years ago
5

Find the value of each variable in the diagram given that a ∥ b.

Mathematics
1 answer:
Alika [10]2 years ago
4 0

The values are as follows:

z=50

v= 150

x= 100

y=15

w= 50

<h3>What is parallel lines?</h3>

Parallel lines are lines in a plane that are always the same distance apart.

z+130= 180   (Linear pair)

z=50

v+ 30 = 180  (Linear pair)

v= 150

x= 180- 30 - 50  (angle sum property)

x= 100

2y=30   (alternate interior angle)

y=15

w+x+2y=180  (Linear pair)

w+ 100 + 30 = 180

w= 50

Learn more parallel lines here:

brainly.com/question/16701300

#SPJ1

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Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2
Andrew [12]

Answer:

The parameters in the parent function are:

  • the parameter correspondig to - 3 in the given function is 0 in the parent function.
  • the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
  • the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is f(x)=-cos(x/2)-3.

The parent function of f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx. The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.

In the parent function, those values are 1, 1, and 0.

It may help you representing the parameters in the given function with letters:

  • y=A(Bx)-C

Then, in the given function A = - 1, B = 1/2, and C = -3.

Now, you can write the parent function:

  • y=1.cos(1.x)+0

Then, the parameters are A = - 1, B = 1, and C = 0.

3 0
3 years ago
i five man take 45 hours to build a wall how long will it take 9 men working at the same pace to build this wall​
Zarrin [17]

Answer:

81 hours

Step-by-step explanation:

Let x be the time are needed

45:5 = x:9

5x = 45×9

5x = 405

x = 81

4 0
2 years ago
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olchik [2.2K]

Answer:

n

Step-by-step explanation:

6 0
2 years ago
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The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy
r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7531

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

7 0
2 years ago
Which binomial is a difference of squares?
GenaCL600 [577]
D) 36x^2-81
both 36x^2 and -81 are perfect squares
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3 years ago
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