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hjlf
2 years ago
7

What is the measure of x?​

Mathematics
1 answer:
victus00 [196]2 years ago
8 0

Answer: x = 156°

Step-by-step explanation:

So it is proven all triangles equal 180° and all straight angles are 180° so

85+71= 156

180-156=24°

but since you are trying to find x (to create the straight angle) and now know the other missing angle is 24°

180-24= 156

x=156°

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The following table shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 t
pashok25 [27]
Giving the table below which shows <span>the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003.
</span>
Year:        1984     1989     1993     1997     2001     2003

Percent:    7.8       16.3       26.2      38.9     49.2      62.1

The scatter plot of the data is attached with the x-axis representing the number of years after 1980 and the y-axis representing the percent increase <span>of donations made on behalf of a non-profit organization.

To find the equation for the line of regression where </span><span>the x-axis representing the number of years after 1980 and the y-axis representing the percent increase of donations made on behalf of a non-profit organization.
\begin{center}&#10;\begin{tabular}{ c| c| c| c| }&#10; x & y & x^2 & xy \\ [1ex] &#10; 4 & 7.8 & 16 & 31.2 \\  &#10; 9 & 16.3 & 81 & 146.7 \\ &#10;13 & 26.2 & 169 & 340.6 \\ &#10;17 & 38.9 & 289 & 661.3 \\ &#10;21 & 49.2 & 441 & 1,033.2 \\ &#10;23 & 62.1 & 529 & 1,428.3 \\ [1ex]&#10;\Sigma x=87 & \Sigma y=200.5 & \Sigma x^2=1,525 & \Sigma xy=3,641.3  &#10;\end{tabular}&#10;\end{center}
</span>
Recall that the equation of the regression line is given by
y=a+bx
where
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{200.5(1,525)-87(3,641.3)}{6(1,525)-(87)^2}  \\  \\ = \frac{305,762.5-316793.1}{9,150-7,569} = \frac{-11,030.6}{1,581} =-6.977
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{6(3,641.3)-(87)(200.5)}{6(1,525)-(87)^2}  \\  \\ = \frac{21,847.8-17,443.5}{9,150-7,569} = \frac{4,404.3}{1,581} =2.7858

Thus, the equation of the regresson line is given by
y=-6.977+2.7858x

The graph of the regression line is attached.

Using the equation, we can predict the percent donated in the year 2015. Recall that 2015 is 35 years after 1980. Thus x = 35.

The percent donated in the year 2015 is given by
-6.977+2.7858(35)=-6.977+97.503=90.526

Therefore, the percent donated in the year 2015 is predicted to be 90.5

7 0
3 years ago
Whoever gets it right can have brainliest, but answer ASAP!
Scilla [17]

Answer:

Hi!~I~am~beinggreat78,~and~I~will~help~you!

Let's start by breaking down the problem.

This is how it should look. ↓

60 ÷ 20 ⇒ + 3 ⇒ x * 5^2

What does that <em>x</em> mean? <em>x</em> is just a substituted value for the first 2 equations.

Now, we can solve.

60 ÷ 20 = 3

Add 3

3 + 3 = 6

Now, multiply 6 times 5 squared. What does 5 squared mean? 5 squared is just 5 times itself once. You most likely want to solve 5 squared before multiplying.

5^2~or~5 * 5 = 25

And now for the last step, multiply 25 times 6

25 * 6 = 150

With that information, the problem is solved! Your answer is 150

6 0
2 years ago
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20PTS!!! PLEASE ANSWER<br><br> 12⋅(4^−2/4^−4)
Talja [164]

Answer:

6

Step-by-step explanation:

First distribute

4 times -2 = -8

4 times -4 = -16

12(-8/-16)

-8/-16 = 0.5

so 12(0.5) = 6

4 0
3 years ago
What is square 192 in the simplest form
alexira [117]

sqrt(192)

sqrt( 16*12)

sqrt(16) * sqrt(12)

4 * sqrt(12)

4 * sqrt(4*3)

4 * sqrt(4) * sqrt(3)

4*2* sqrt(3)

8 sqrt(3)

8 0
3 years ago
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Plz answer this for 10 points
ki77a [65]
domain refers to the X values so option A would be correct :)
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