Seventeen lines drawn in a plane, with no three concurrent and no two parallel, divide the plane into
closed regions (bounded on all sides) and open regions. The number of closed regions is

Answers

Answer 1

Answer:

120

Step-by-step explanation:

Make a chart:

Lines:                  0   1    2   3  4   5   6

Closed regions: 0   0   0   1   3   6   10

Find the number of numbers using the formula:

[tex]\frac{first term + last term}{2}[/tex] x 14 = [tex]\frac{2 + 15}{2}[/tex] x 14

                                  = 8.5 x 14

                                  = 119

119 + 1 = 120

(add 1 because we didn't count the first line in the formula)

I hope this helps :)

Answer 2

The total number of closed regions is 120.

Given that,

Seventeen lines are drawn in a plane, with no three concurrent and no two parallel, dividing the plane into closed regions (bounded on all sides) and open regions.

Used the formula to calculate the number of closed regions with n sides is,

Number of sides = (n - 1) (n - 2) / 2

Here, n = 17

Hence, The number of closed regions is,

Number of sides = (n - 1) (n - 2) / 2

Number of sides = (17 - 1) (17 - 2) / 2

Number of sides = 16 × 15 / 2

Number of sides = 120

To learn more about closed regions, follow the link.

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Related Questions

-3(x+4)-8x>21 solve this equation

Answers

Answer:

the answer:

Step-by-step explanation:

pls, crown or star. <3

Answer:x<-3

Step-by-step explanation:

-3(x+4)-8x>21

-3x-12-8x>21

-11x-12>21

-11x>33

x<-3

Linda deposits $4,000 in an account that pays 3% interest that compounds monthly. What is her balance after 2 months?
Show all of your work.

Answers

Answer:

$4,243.6

Step-by-step explanation:

4,000 * 0.03 = 120

add it to the money 4,120

another month

4,120 *0.03 = 123.6

add it $4,243.6

2 points
COMPLETE THE TABLE: You are taking a test in math and you spend 5
minutes for every 2 questions you answer on the test. What value belongs
in box B?
# Questions
0
2
3
4
Time (minutes)
А
B
С
D
E

Answers

A - 0 would be 0mins B - 1 would be 2.5mins C - 2 would be 5mins D - 3 would be 7.5mins E - 4 would be 10mins

Step-by-step explanation:

every 2 questions equals 5 minutes. so 0 questions would obv be 0 mins 1 question would be half of 5 mins which would be 2.5 and so on

What is the value of T in this exterior angle

Answers

Answer:

t =30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles.

t + (2t-28) = t+32

Combine like terms

3t -28 = t+32

Subtract t from each side

3t -28-t = t+32-t

2t -28 = 32

Add 28 to each side

2t-28+28 = 32+28

2t = 60

Divide by 2

2t/2 = 60/2

t =30

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Exterior Angle of a triangle is equal to the sum of two opposite interior angles of the same triangle, so

[tex]t + 32 = t + 2t - 28[/tex]

[tex]t + 32 = 3t - 28[/tex]

[tex]3t - t = 32 + 28[/tex]

[tex]2t = 60[/tex]

[tex]t = 30 \degree[/tex]

value of t = 30°

Omar invited 96 peoples to an engagement party.
Only 60 of the people invited came to the party?
Express 60 as a percentage of 96.
Help me plz

Answers

Answer:

62.5%

Step-by-step explanation:

-5s-5x+5 s 50
solve this

Answers

-5s-5x+5s+50     Combine like terms

5x+50

Answer:

[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]

Graph the image of the given under a dilation with a scale factor of 3 and center of dilation (0, 0)

To use the Polygon tool plot each vertex of the polygon To close the polygonselect the first point as your last point

Answers

I think this is right, I took the points and multiplied the coordinates by 3. Hope this helps

Using a set of numbers find the mean round to the nearest tenth median mode and range 8,6,3,7,1,6,5,6

Answers

The median is 6 the mode is 6 and the range is 7

Explanation : the median is 6 because this is the very middle number
The mode is 6 because it is the number that occurs most
And the range is 7 because the largest number is 8 and the smallest is 1 , and 8-1= 7

someone please help me

Answers

Answer is corresponding angle

[tex]100\times 100\times20[/tex]

Answers

Answer:

100 × 100 × 20 = 200,000

Step-by-step explanation:

here pls brainliest

[tex]\frac{1}{4} (x-3)=3x-\frac{1}{4}x-3[/tex] does this equation have a solution

Answers

No it does not hope this helps

Solve for the value of r.

Answers

Answer:

[tex]r = 9[/tex]

Step-by-step explanation:

[tex](6r + 4) = (7r - 5) \\ 7r - 6r = 4 + 5 \\ r = 9[/tex]

11. What is the range of the function graphed on
the grid? TEK 2A
PLZZZZ HELPPPPP ITS DUE ON THURSDAY!!!!
LOOOK AT THE PHOTO

Answers

The range of function graphed above is :

[tex] \{y| - 3 \leqslant y \leqslant 4 \}[/tex]

Can you help me find the missing sides and calculate the perimeter?

Answers

The bottom side is 1m and the side on the right is 2m because looking at the other sides all of the sides should be 10.

Step-by-step explanation:

Help with this question please

Answers

Answer:10

Step-by-step explanation:

What is the surafce area of a cube with an edge length of 8 inches...QUICKKKK

Answers

Answer:

A=384in²

Step-by-step explanation:

A=6a2=6·82=384in²

please help me with number four

Answers

60 because triangle sum add ups to 180
60 because the sum of a triangle is 180.

sam currently has $150 in a savings account and is saving 10$ per week. write an equation

Answers

Answer:

$850

Step-by-step explanation:

you multiply 7 x 100 because there are 7 days in 1 week. That equals 700 plus 150 equals 850

Sam currently has $150 in a savings account and is saving 10$ per week. equation  y=150+10x represents the situation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given, sam currently has $150 in a savings account and is saving $10 per week.

The total amount of savings in dollars is represented by y.

x represents the number of weeks

The equation y=150+10x.

y equal to one hundred and fifty plus ten times of x.

Hence, Sam currently has $150 in a savings account and is saving 10$ per week. Equation  y=150+10x represents the situation.

To learn more on Equation:

https://brainly.com/question/10413253

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Does the Tilt of the Earth's axis shine on different latitudes at different angles throughout the Year?

True
False

Answers

True

Step-by-step explanation:

cause the tint of the earth's axis dose shine on different latitudes at different angles throughout the year

only 23 please. And you can get 50 points

Answers

Answer: [tex]\large \boldsymbol {} \displaystyle y=-5x-7 \ \ or \ \ f(x)=-5x-7[/tex]

Step-by-step explanation:

Having built a graph, we can immediately understand that this is a linear functiony=kx+bHaving built a graph, we can immediately understand that this is a linear functiony=kx+bIn order to determine which rule the function follows, it is only enough for us to know the coordinates of only two points, let them be points (-3  ; 8 ) and (-2 ; 3 ) Substitute the values of x and y into an unknown function y=kx+b [tex]\displaystyle \large \boldsymbol {} \left \{ {{-3k+b=8} \atop {-2k+b=3 }} \right.=> -k=5=>k=-5 \ \ ; \ \ b=3+2k=-7[/tex]

Then we get the function :

[tex]\large \boldsymbol {} \displaystyle y=-5x-7[/tex] The graph in attached file

[tex]\large \boldsymbol{}[/tex]

I need the image below answered:

Answers

Answer:

first 3 options

Step-by-step explanation:

the first 3 options are the ans

Look at the picture. Please just look at the picture and then answer it.​

Answers

Answer:

It's not quite clear from my side

Step-by-step explanation:

because I am having Internet connection problems and my phone is not functioning properly

Which is the better buy?

A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?

Please show ALL of your work.

hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.

Answers

Answer: The first box (the 450 g box for $4.69)

===========================================================

Explanation:

To get the unit cost, we'll divide each price by the weight

The first box has a unit cost of (4.69)/450 = 0.010422 approximately which rounds to 0.01; so this unit cost is approximately $0.01 per gram or 1 cent per gram.

For the second box, its unit cost is (6.49)/600 = 0.0108167 approximately. When we round to the nearest cent, we get the same unit cost as before. Without rounding, we see that the first box has a slightly lower unit cost. Therefore box 1 is the better buy.

Which ordered pair is in the solution set of 2x+y≤−4? Question 6 options: (−2, 2) (2, 2) (−2, −2) (2, −2)

Answers

Answer:

-2,-2

Step-by-step explanation:

if you plug the numbers in you get:

(2*-2)+-2≤−4

so that's -4+-2≤−4

which equals -6≤−4

and as always, the bigger the negative number, the less value it has

can someone help me i will give brainliest to whom ever right 28=x+13

Answers

the answer is that x equals 15

Answer:

15

Step-by-step explanation:

28= x +13

x= 28-13

15

Therefore, 28= 15 +13

Calculate the area of the following shape

Answers

Answer:   PLEASE DONT REPORT ME!

Step-by-step explanation:

Juan graphed a line with a slope of −23 .

How does Juan count the slope from any point on the graph?


From any point on the graph, he counts down 2 then right 3 to end up on the line again.

From any point on the graph, he counts up 2 then right 3 to end up on the line again.

From any point on the graph, he counts down 2 then left 3 to end up on the line again.

Answers

Answer:

The answer is: From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

Mistake in the question; The slope of the line is -2/3.

To count the slope of the graph from any point on the graph; He counts down 2 then right 3 to end up on the line again.

The slope of a linear graph refers to the change behaviour of its dependent variable (usually y-axis) with respect to its Independent variable (usually x-axis).

In essence;

slope, m = (y2-y1)/(x2-x1)

Consequently, From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Read more:

https://brainly.com/question/23935638

which expression is not equavilent to 50x+20?​

Answers

Answer:

First choice 4(15x + 5)

Step-by-step explanation:

Let's check them all (We checked 2)

1)

4(15x + 5)

->

60x + 5

1 does not equal 50x + 20

2)

2(25x + 10)

->

50x + 20

2 does equal 50x + 20

(1-,4) and (1,-1) find the distance between each pair of points

Answers

Answer:

(1,3)

Step-by-step explanation:

Please help I don't understand this!

Answers

Answer:

5

Step-by-step explanation:

you have to look at the temperature in the picture and look at how it slopes down and predict.

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