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3 years ago

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

$180^o-140^o=40^o\\\\360^o:40^o=9\\\\Answer:This\ a\ regular\ polygon\ has\ 9\ sides.$

Rasek [7]3 years ago

6 0

Yes, it certainly could ! When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular

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What is the value of 2m^2+12 when m = 3? 24 30 37 38

Crazy boy [7]

Answer:

Step-by-step explanation:

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3 years ago

Solve for w. Show your work. ( 36 ÷ 3 )( 2 x 6 ) = w

LenaWriter [7]

W = 144. Evaluate the equations inside the parentheses. Which is 12 x 12 then evaluate that. Which equals, 144.

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2 years ago

Read 2 more answers

In the accompanying diagram, parallelogram ABCD has

Taya2010 [7]

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

$A = b\cdot h$ (1)

Where:

$A$ - Area.

$b$ - Base.

$h$ - Height.

The base and height of the parallelogram are, respectively:

Base

$b = 8-2$

$b = 6$

Height

$h = 5-1$

$h = 4$

Then, the area of the parallelogram is:

$A = (6)\cdot (4)$

$A = 24$

The area of the paralellogram is 24 square units.

5 0

3 years ago

Could someone please help me with this? I would mark you as Brainliest:)

Hunter-Best [27]

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

5 26

b) The algebraic expression for the general term of the sequence is $a(i) = 6 + 5\cdot (i - 1)$ .

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

5 26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

$a(i) = a_{1} + r\cdot (i - 1)$ (1)

Where:

$a_{1}$ - First element of the sequence.

$r$ - Arithmetic difference.

$i$ - Index.

If we know that $a_{1} = 6$ and $r = 5$ , then the algebraic expression for the general term of the sequence is:

$a(i) = 6 + 5\cdot (i - 1)$

c) If we know that $a(i) = 6 + 5\cdot (i - 1)$ and $i = 25$ , then the 25th term in the sequence is:

$a(25) = 6 + 5\cdot (25 - 1)$

$a(25) = 126$

The 25th term in the sequence is 126.

7 0

3 years ago

"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o

liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54$

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

7 0

3 years ago