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kaheart [24]
2 years ago
8

The sum of seven interior angle measurements in an octagon equal 835º. What is the angle measurement of the 8th angle? (Hint: An

octagon has 8 sides.)
Mathematics
2 answers:
mart [117]2 years ago
7 0

Answer: 104.375 (104 if you need it rounded)

Step-by-step explanation: So the question here is only asking for one angle, so you take the sum of all of the angles (835) and divide it by the total amount of sides (8). and you have your answer.

Montano1993 [528]2 years ago
7 0
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2. Graph the solution set to the following inequality:<br> 7-y&lt;2x
nirvana33 [79]

Step-by-step explanation:

First solve for y,

7-y<2x

7-2x<y

y>-2x+7

your y intercept would be (0,7)

and your slope would be -2/1 so, you go down 2 and 1 to the right.

Since this is a greater than symbol, we have to shade above the line and the line would also be a dotted line.

7 0
2 years ago
This week, we are covering relationships that can be approximated by linear equations. For instance, y = 453x + 3768 represents
lana [24]

Answer:

See explanation below.

Step-by-step explanation:

We assume that the data is given by :

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)

We can find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720

\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324

\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200

\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540

\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=49200-\frac{720^2}{12}=6000

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900

And the slope would be:

m=-\frac{1900}{6000}=-0.317

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60

\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27

And we can find the intercept using this:

b=\bar y -m \bar x=27-(-0.317*60)=46.02

So the line would be given by:

y=-0.317 x +46.02

We have an inverse linear relationship since the slope is negative between the variables of interest.

8 0
3 years ago
Tony buys a pair of running shoes f 80$ he pays 9%sales tax how much does the pair of shoes cost in total?
Sindrei [870]

Answer:

$87.20

Step-by-step explanation:

5 0
3 years ago
Can anyone help solve this? ​
gtnhenbr [62]
We can tell this is an isosceles triangle due to the sticks meaning the base angles are equal so the measurement of ACB would be the same as ABC so it would measure x
7 0
3 years ago
A total of 504tickets were sold for the school play. They were either adult tickets or student tickets. There were 54more studen
LuckyWell [14K]

Answer:

225 adult tickets

Step-by-step explanation:

S: no. of students

A: no. of adults

S = A + 54

S + A = 504

A + A + 54 = 504

2A = 450

A = 225

S = 225 + 54

S = 279

3 0
3 years ago
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