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3 years ago

Find angle sum therom

Mathematics

2 answers:

Ksenya-84 [330]3 years ago

7 0

Step-by-step explanation:

we know that,

sum of all angles of triangles is equal to 180°

Then,

33° + 87° + x = 180°

x = 180° - 120°

Now,

we know that,

sum of all angles which lies on a straight line is equal to 180°

Then,

x + y = 180°

60° + y = 180°

Hence,

The value of y = [120]°

cluponka [151]3 years ago

4 0

Answer:

y = 120°

Step-by-step explanation:

angles in a triangle add up to 180 degrees

180 - (87 +33) = 60

x = 60 degrees

angles on a straight line add up to 180 degrees

180 - 60 = 120

y = 120

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The average annual premium for automobile insurance in the United States is $1411. A representative sample of annual premiums fo

Harrizon [31]

Using confidence interval concepts, it is found that:

a) The point estimate is the sample mean.

b) The confidence interval is: $\overline{x} \pm T\frac{s}{n}$

c) If $1411 is between the bounds of the interval yes, otherwise no.

--------------

At item a, it asks to provide a point estimate for the population mean, which is the sample mean $\overline{x}$

--------------

Item b:

In the spreadsheet, it is possible to find the <em>standard deviation for the sample</em>, thus, the t-distribution is used.
The confidence interval will be given by:

$\overline{x} \pm T\frac{s}{n}$

In which:

$\overline{x}$ is the sample mean.
T is the critical value, from the t-distribution, with a two-tailed area of $\frac{1 - 0.95}{2} = 0.025$ and n-1 degrees of freedom.
s is the standard deviation for the sample.
n is the sample size.

--------------

Item c:

We have to check if 1411 is between $\overline{x} - T\frac{s}{n}$ and $\overline{x} +T\frac{s}{n}$ .

If it is, the interval includes the National Average, otherwise, it does not.

A similar problem is given at brainly.com/question/24232455

7 0

3 years ago

The lay in Burlington collected $3 930 in overdue fees last year. This year, the library

almond37 [142]

Answer:

We conclude that the percent of decrease = 20%

Step-by-step explanation:

Given

Original amount = $3930

Amount of decrease = $3930 - $3144 = $786

Using the formula

Percent of decrease = ( amount of decrease / orignal amount × 100 ) %

= ( 786 / 3930 × 100 ) %

= ( 0.2 × 100 ) %

= 20%

Therefore, we conclude that the percent of decrease = 20%

4 0

3 years ago

What are the names of the two angles? *

Vika [28.1K]

Answer:

C or the 3rd one

Step-by-step explanation:

7 0

3 years ago

Can I get some help please? <br><br><br> Thanks!

quester [9]

An ellipse (oval shape) is expressed by the following equation:

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1$ where h is the x coordinate of the center and k is the y coordinate of the center. Furthermore, a is the horizontal distance from the center, and b is the vertical distance from the center. Lastly, c is the distance from the center to one of the foci (they are spaced apart equally).

We can find the foci by using $a^2 - b^2 = c^2$

36 - 11 = $c^2$

$c = \sqrt{25} = 5$

Since the k value in this case is 0, the y value of both foci are 0. Also, since h and k are both 0, we know the center of the ellipse is at the origin.

So the foci are (-5, 0) and (5, 0)

Hope this helps :)

3 0

3 years ago

What is 13x -4+100=180

Naddika [18.5K]

Answer: x = 6.46153846

Step-by-step explanation:

We are given the equation <em>13x - 4 +100 = 180</em>, and we must find the value of <em>x</em>. In order to do that get x on on one side by itself and a constant on the other side by itself.

This first step is to combine like terms. <em>13x</em> is by itself. <em>-4 + 100 = 96</em>. This gives us the equation <em>13x +96 = 180</em>.

In order to get <em>x </em>by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.

Next, divide each side by 13 to find x. This gives us x = 6.46153846

$13x - 4 +100=180$