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

Find the value of x.

A) 870
C) 127°
E) 66°
B) 106°
D) 100°

Answers

Answer:

100

Step-by-step explanation:

y  + 140 = 180   {Linear pair}

y = 180 -  140

y = 40

Given triangle is an isosceles triangle.

x + y + y = 180  {angle sum property of triangle}

x +2y = 180

x +2*40 = 180

x + 80 = 180

x = 180 - 80

x = 100

HELP!!!!!!!!!!!!!!!!!!-

Answers

Answer:

= 10 R 22

= 10 22/34

= 10 11/17

Step-by-step explanation:

David is driving through a school zone. He travels 1 km and it takes him 2.5 minutes to get through the school zone. What was his average speed in km/h?

Answers

Answer:

change 2.5min into hours then to find speed take distance over time getting 1/24 as the answer

I need answer please ​

Answers

Answer:

[tex]{ \boxed{ \rm{ \angle QRO \: \: and \: \: \angle SRT}}}[/tex]

Someone plz help me :(

Answers

Answer:

b

Step-by-step explanation:

i think it is b good luck

Answer:

The answer is D

Step-by-step explanation:

Hope it helps. Pls mark brainliest if it does

marking as brainliest + 80 pts <3 do it all please and if you have any questions you can ask here or add my dxisxcord, insxtax or snxapcxhxat so i can send the image up close if you can't see, js ask for it :P

Answers

Answer: BRAINLIEST?

PART 1

In january she recives the discount but not in Febuary

25*12= 300 For Jan

59.99*10= 599.90 For Feb

Total: 899.90 dollars

PART 2

x stands for amount of months

59.99x=359.94

Divide both sides by 59.99

x= 6

Step-by-step explanation:

Answer:

hi i know she alreaady andwerd but hi

Step-by-step explanation:

What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.
100 pts

Answers

Answer:

Tips or taxes add money to a bill. This is the same as a markup. Markdowns are the same as discounts. They take a percentage off a bill.

Write the equation for a line parallel to y = -2x+2 through (0,5)

Answers

Answer:

y=-1x+2?

Step-by-step explanation:

Multiply the binomials: (y+2)•(y-6)

Answers

Answer:

(y+2)•(y-6)

Step-by-step explanation:

y(y-6)+2(y-6)

y^2-6y+2y-12

y^2-4y-12

In the diagram below, AB || CD, EF || GH, and m m

Answers

Answer:

Angle AJL=54

Step-by-step

Stock in boomer branding inc started the week at $26.50 per share during the week the following changes in the share price were registered

Answers

Answer:33333333333333333333333333333333333

Step-by-step explanation: This isnt the answer i need points

Simplify each expression using the properties of powers. Express your answers using only positive exponents.

Answers

Answer:

[tex] \frac{ {( - 3)}^{7} {(11)}^{9} {(13)}^{ - 3} }{ {( - 3)}^{5}(11) {(13)}^{ - 3} } \\ \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} {(13)}^{ - 3} }{ {(13)}^{ - 3} } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{ {(13)}^{3}( \frac{1}{ {(13)}^{3} }) } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{1} \\ \\ \\ = {( - 3)}^{2} {(11)}^{8} [/tex]

I hope I helped you^_^

7(5+2)=7×5+7×2 which law is that?

Answers

[tex]\huge\text{Hey there!}}[/tex]

[tex]\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}[/tex]

[tex]\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark[/tex]

[tex]\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

What expressions is equivalent to 5 to the power of 8

Answers

The first one and the second one

Answer:

Step-by-step explanation:

5¹⁶ ÷ 5² = 5⁽¹⁶ ⁻ ²⁾ = 5¹⁴  ❌

(5²)⁶ ÷ 5⁴ = 5⁽¹² ⁻⁴⁾ = 5⁸ ✅

5² × 5⁴ = 5⁽²⁺⁴⁾ = 5⁶ ❌

(5⁴)² = 5⁸ ✅

5⁻¹ × 5⁹ = 5⁻¹ ⁺ ⁹ = 5⁸ ✅

5⁻¹ × 5⁻⁸ = 5⁻¹ ⁺ ⁽⁻⁸⁾ = 5⁻⁹ ❌

Let f(x) = x^2 and g(x) = x-6. find (f o g)(-3). please help.

Answers

Answer:

81

Step-by-step explanation:

f o g = f(g(x))

Step 1. Solve for g(-3)

-3 - 6 = -9

Step 2. Solve for f(-9)

-9^2 = 81

Round your answer to THREE (3) decimal places. If you do not round correctly, your answer will be marked incorrect.

If necessary, add zeros to your decimal to have 3 decimal places.

Your answer will be counted wrong if does not have 3 decimal places.

Answers

Answer:

Step-by-step explanation:

you need to add all 5 numbers together, then divide my 5. the answer should be 89.6

4.
Joe has 15.25 ounces of cookie
dough. If each cookie uses 0.5 ounces
of cookie dough, how many cookies
can Joe make for everyone?

Answers

Answer 30.50 round it to 30 people
You do 15.05 divided by 0.5 and you get 30.5

Three times a number increased by 44 is the same as the opposite of the number. Find the number

Answers

Answer:

- 11

Step-by-step explanation:

let the number be n then 3 times the number is 3n and the opposite is - n

3n + 44 = - n ( add n to both sides )

4n + 44 = 0 ( subtract 44 from both sides )

4n = - 44 ( divide both sides by 4 )

n = - 11

The required number is - 11

Help please! I need help with my math question!

Answers

Answer:

cc

Step-by-step explanation:

120% of what number is 102 and how do you write it in an equation? (Include a variable)

Answers

Answer:

y = 85

Step-by-step explanation:

120% times y = 102

The variable is y.

Santiago and some friends are going to the movies. At the theater, they sell a bag of popcorn for $5.75 and a drink for $3.50. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought pp bags of popcorn and dd drinks?

Answers

Answer:

$23 for popcorns and $28 for drinks the sum is $51

Step-by-step explanation:

The total cost of buying 4 bags of popcorn and 8 drinks is $51.

What is the meaning of the term “cost”?

A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting.

In the case of an acquisition cost, the money spent on the acquisition is considered the cost. All costs associated with obtaining and preparing materials for sale are referred to as "Cost of Purchase," or “Cost of buying,” respectively.

As per the available information,

Selling price of a single popcorn bag is $5.75.

Selling price of a single drink is $3.50.

Value or total amount of cost will be calculated against 4 bags of popcorn and 8 drinks.

Cost of popcorns = 4 × 5.75  = 23

Cost of drinks = 8 × 3.50  = 28

23 + 28 = 51

Therefore, total cost of buying 4 bags of popcorn and 8 drinks is $23 for popcorns and $28 for drinks, the sum is $51

Learn more about cost from here:

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help me due in 15 minutes! - giving brainly if correct and WORK IS SHOWN
please answer both if possible!​

Answers

Answer:

both questions are same i think

look at the photo i have sent

Is question 8 right plz help it’s on 8 minutes

Answers

Answer:

Its 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

the way i do it is, i think of it as Find _ and look for _. Then u count to where it starts and ends. If that doesnt help then let me know and ill explain something else.

How can I solve 8.5 x (-4)?​

Answers

Answer:

-34

Step-by-step explanation:

you would first solve it like a normal equation and ignore the negative;

0.5 * 4 is 2

8 * 4 is 32

32 + 2 = 34

and then you would add the negative sign- because there is only one side with a negative sign, it is negative

if the equation had both sides had a negative, it would be positive

Is 65/126 about 1/4?

Answers

No it’s not. 1/4 of 126 is 31.5.
To get this you need to do 126/4

Answer:

No

Step-by-step explanation:

65/126 = 0.5158730..

1/4=0.25

The 65/126 (0.5)  is not less than the 1/4 (0.25)  which means that the given statement 1/4 is More than 65/126

15. Solve the compound inequality.
3x - 4 >5 or 1 - 2x 7
A X<-3 or x > 3
B x < -3 or x > 3
CX-3 or x <3
D x>-3 or x < 3

Answers

hope you like my answer its Letter D

SOMEONE PLEASE HELP THIS IS DUE RIGHT NOW I WILL MARK BRINLIEST
an isosceles triangle has at least ______ Congruent sides
A. 1
B. 2
C. 0

Answers

Answer:

i think it's B.2

Step-by-step explanation:

Because it has two sides equal or in this case two sides are the same

Answer:2.

Step-by-step explanation:congurent me as equal length

Find the x and y intercepts of this function.

h(x) = 2x^2 - 3x - 2

Please help me

Answers

Answer:

The x-intercepts: (-0.5, 0) and (2, 0)

The y-intercept: (0, -2)

Sandra wants to use multiplication to solve 1/4 divided by 6=t

Answers

Answer; 1/4 × 1/6

Step-by-step explanation:  To turn a fraction division sentence into a multiplication sentence, simply multiply the second fraction by its reciprocal. For example 1/4 ÷ 6/1 is equaled to 1/4 × 1/6.

I hope this helps! please vote brainliest if so

error error error error

Answers

Answer:

I really like helping people so can you take this app more seriously ..?

Step-by-step explanation:

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