The line MN is shown on the grid.
Find the equation of the perpendicular bisector of line MN.

The Line MN Is Shown On The Grid.Find The Equation Of The Perpendicular Bisector Of Line MN.

Answers

Answer 1

Find midpoint coordinates:

[tex]\rightarrow \sf (\dfrac{-1+3}{2} ), \ (\dfrac{7+(-1)}{2} )[/tex]

[tex]\hookrightarrow \sf (1, \ 3)[/tex]

Find the gradient of MN:

[tex]\dashrightarrow \sf \dfrac{-1-7}{3-(-1)}[/tex]

[tex]\dashrightarrow \sf -2[/tex]

slope of perpendicular bisector:

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

Equation:

[tex]\sf \rightarrow y = \dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Answer 2

Answer:

[tex]y=\dfrac12x+\dfrac52[/tex]

Step-by-step explanation:

M = (-1, 7)

N = (3, -1)

[tex]\sf slope\:of\:MN=\dfrac{y_n-y_m}{x_n-x_m}= \dfrac{-1-7}{3-(-1)}=-2[/tex]

If two lines are perpendicular to each other, the product of their slopes will be -1.  Therefore, the slope (m) of the line perpendicular to MN is:

[tex]\sf \implies -2 \times m=-1[/tex]

[tex]\sf \implies m=\dfrac12[/tex]

If the line bisects the line MN, it will intersect it at the midpoint of MN:

[tex]\begin{aligned}\textsf{Midpoint of MN} & =\left(\dfrac{x_m+x_n}{2},\dfrac{y_m+y_n}{2}\right)\\ & =\left(\dfrac{-1+3}{2},\dfrac{7+(-1)}{2}\right)\\ & =(1,3)\end{aligned}[/tex]

Finally, use the point-slope form of the linear equation with the found slope and the midpoint of MN:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-3=\dfrac12(x-1)[/tex]

[tex]\implies y=\dfrac12x+\dfrac52[/tex]

The Line MN Is Shown On The Grid.Find The Equation Of The Perpendicular Bisector Of Line MN.

Related Questions

Please help :) (its for my friend, cause she wont belive me!)


If your friend has 7 apples, you take 3. How much do you have?

Answers

Answer:

the answer its 3 :)

Step-by-step explanation:

matematicas amigo

if p and q are two propositions,use truth table technique to show that a) (p=q) ^ (q=p)= p=q and b) [(p=q) ^ p]=q is a Tautology​

Answers

Answer:

  see attached

Step-by-step explanation:

The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.

__

a.

The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...

  (p=q)∧(q=p)

is equivalent to

  (p=q)∧(p=q)

We know that the And of p with itself is just p, so that fact ensures the truth of ...

  (p=q)∧(p=q) = (p=q)

Hence

  (p=q)∧(q=p) = (p=q)

The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.

__

b.

The attached truth table shows that the given relation is not a tautology.

The hexagon shown is divided into 4 triangles and a rectangle.

What is the area of the hexagon in square centimeters?

Answers

Answer: My good friend this answer is 222.4 because if you take the 16 cm and the 13.9 cm and mulitply the you will get 222.4 and thank you for chosing me.

Step-by-step explanation:

Which answer is the explicit rule for the sequence 11, 8.5, 6, 3.5, 1

Answers

I think it's an= 13.5 - 2.5n

Answer:

[tex]a_n=13.5-2.5n[/tex]

Step-by-step explanation:

[tex]11,\ 8.5,\ 6,\ 3.5,\ 1...[/tex]

[tex]So\ d=8.5-11=b-8.5=3.5-6=1-3.5[/tex]

       [tex]=-2.5[/tex]

[tex]And\ a_1=\parallel \left\{Anithmetic\ \left.\ sequence\right\}\right.[/tex]

[tex]so\ a_n=a_1+d(n-1)[/tex]
         [tex]=11-2.5(n-1)[/tex]
         [tex]=13.5-2.5n[/tex]

[tex]The\ answer:a_n=13.5-2.5n[/tex]

I hope this helps you

:)

       

Question 7 (Essay Worth 5 points)
(7.03)
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.

Answers

Answer:

x=6

Step-by-step explanation:

The first thing you should start with is distributing the 6 inside the parentheses, which would give us (12x - 66) + 15 = 21. Now we can add like terms on this side of the equation to get: 12x -51 = 21. Add the 51 to the right side to get 12x = 72, then divide both sides by 12 to get x = 72/12 or 6.

x=6

Hope this helps!

Marking this brainliest also helps me out too :)

NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY

NO LINKS IF YOU DO NOT KNOW THE ANSWER PLEASE SKIP OVER THIS THREAD

Answers

Answer:

I think this Cyclic quadrilateral 180degree

d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]​

Answers

Answer:

42

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

[tex]14\times 3\div 1[/tex]

______________________________________________

Calculate

[tex]14\times 3[/tex]

______________________________________________

Calculate the product or quotient

[tex]42[/tex]

I hope this helps you

:)

help, I’m terrible with percentages

Bob has a 1% chance of getting a prize from a cereal box, while the other prizes have a 99% chance for him to get. How many cereal boxes does Bob have to buy in order to get the prize? Show your work.

I’m pretty sure you’re supposed to find out something like “one in a million chance!”

Answers

Answer:

99 boxes im sure


In parallelogram ABCD, mLA
4x + 20 and m2C = x + 26
Find the value of x.
Then find the measure of LA.

Answers

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

∠A = ∠C

4x + 20 = x + 26

Step 1: To find the valu of 'x', first subtract 20 from both sides

4x = x + 26- 20

4x = x + 6

Step2: Now, subtract 'x' from both sides

4x -x = 6

3x = 6

Step:3: divide both sides by 3

x = 6/3

x = 2

∠A = 4*2 + 20

      = 8 + 20

∠A = 28°

ind the area of the figure.
A) 14 cm2
B) 50 cm2
C) 60 cm2
D) 64 cm2

Answers

Answer:

D) 64

Step-by-step explanation:

(10 x 12) - (8 x7) = 120-56 = 64


answer: 64 square cm

Help picture below problem 6

Answers

Answer:

i think that B..is a right answer

Answer:

An octagon is a polygon with eight sides.

Step-by-step explanation:

Octa or Octo means eight. Like an octopus. They call it an octopus because it has eight limbs.

A stop-sign is an examle of an octagon.

Hope that helps!

I WILL GIVE BRAINLYEST
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q

Answers

Answer:

See below

Step-by-step explanation:

Given points P and Q have same x-coordinate but different y- coordinates.

The distance between P and Q is the difference of y- coordinates:

PQ = 4 - (-4) = 8 units = 8 cm

The area is 64 cm², it means the adjacent sides are

PS = QR = 64/8 = 8 cm

a)

If the points R and S are to the left, their coordinates are

S = (-1 - 8, 4- 0) = (- 9, 4)R = (-1 - 8, - 4 - 0) = (- 9, -4)

b)

If the points R and S are to the right, their coordinates are

S = (-1 + 8, 4 + 0) = (7, 4)R = (-1 + 8, - 4 + 0) = (7, -4)

Answer:

Points R and S are to the left of Points P and Q

R = (-9, 4)

S = (-9, -4)

Points R and S are to the right of Points P and Q

R = (7, 4)

S = (7, -4)

Step-by-step explanation:

Given coordinates:

P = (-1, 4)Q = (-1, -4)

Points P and Q have the same x-value.

The vertical distance between these two points is:

[tex]\begin{aligned}\implies \sf y_P-y_Q & =\sf 4-(-4)\\ & =\sf 4+4\\ & =\sf 8\:units \\ & =\sf 8\:cm\end{aligned}[/tex]

Area of a rectangle = width × length

If the area of the rectangle PQRS is 64 cm² then:

[tex]\begin{aligned} \implies \sf 64 & = \sf width \times 8\\\implies \sf width & = \sf \dfrac{64}{8}\\\implies \sf width& = \sf 8 \: cm \end{aligned}[/tex]

This means that the y-values of points R and S will be the same as points P and Q, but the x-values will either be 8 less or 8 more.

Points R and S are to the left of Points P and Q

R = (-1 - 8, 4) = (-9, 4)

S = (-1 - 8, -4) = (-9, -4)

Points R and S are to the right of Points P and Q

R = (-1 + 8, 4) = (7, 4)

S = (-1 + 8, -4) = (7, -4)


José is painting a backdrop for the school
play. The rectangular backdrop is
60 inches by 45 inches. If his container of
paint can cover 25 square feet, does
he have enough to paint the backdrop?

Answers

Answer:

Definitely not

Step-by-step explanation:

60*45 = 2700 and 2700 square inches converted into feet is 225 square feet

GIVING BRAINLIEST FOR THIS ONE QUESTION, THANKS

Answers

Answer:

[tex](6\times 4)^3 = 6^3 \times 4^3[/tex]

Step-by-step explanation:

Select the correct answer.
A parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
f(x) = -x2 + 2x + 5
f(x) = -x2 + x +5
O
f(x)=x²+x-2
Of(x) = x2 – 2x+5
Submit

Answers

Answer:

X^2-2x+5 is the answer

Step-by-step explanation:

What is the mode of the data set? 78, 82, 91, 78, 92, 77, 80, 74, 81

A. 92
B. 78
C. 85.5
D. 77

Answer: B

Answers

Answer:

B. 78

Step-by-step explanation:

78 It is the most frequent data (2)

Hope this helps

The line L passes through the points (5, -5) and (1, 2).
Find the gradient of line L.

Answers

gradient of L = -7/4

Explanation:

[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Insert the following values.

[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]

[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]

[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]

hello!

Use the slope formula:-

(the slope is the same as the gradient)

[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]

[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Helppp PLEASE ASPPP HELP HELP HELP PLEASE HELP

Answers

Answer:

c. 17/12

Step-by-step explanation:

Sal is making bracelets for a fundraiser. He uses 6 inches of yarn per bracelet. how many bracelets can Sal make?

Answers

Answer:

He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?

If you can buy 15 bags of potatoes for $20, then how many can you buy with $4?

Answers

Answer:

Step-by-step explanation:

15 bags for $20 can be represented with 15/20
so x bags for $4 can be represented with x/4

now if you proportion it out (ricochet), 4x15 is 60, 60 divided by 20 is 3, so you can buy 3 bags of potatoes with $4.

OR

you could do 15/20 is 0.75

0.75 times 4 is 3, so $4 can buy you 3 bags.

Answer:

Step-by-step explanation:

Remark

This is a proportion problem. It assumes that if you know 3 of the four parts of a 2 ratio proportion, you can solve for the 4th one.

Givens

number of bags = 15

Cost = 20

Different cost = 4

number of bags = ?

Formula

Number of bags / Cost = different number of bags/ New Cost

Solution

15/20 = x / 4              Multiply both sides by 4

15*4/20  = x / 4 * 4

60/20 = x

Answer x = 3

That is 4 dollars gets you 3 bags of potatoes

An observation tower is 65m high. A support wire is attached to the tower 30m from the top. If the support wire and the ground form an angle of 56 degrees, what is the length of the support wire, to the nearest tenth?

Answers

The support wire is the hypotenuse of the right triangle formed. Therefore, the length of the support wire is 42.2 meters.

The situation forms a right angle triangle.

Right angle triangle

A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.

Therefore, the height of the tower where the wire was attached is the opposite side of the triangle formed.

The wire was attached 30 m from the top. Hence, 65m - 30m = 35 m.

Therefore,

sin 56° = opposite / hypotenuse

sin 56° = 35 / x

The hypotenuse is the length of the support wire.

Therefore,

x = 35 / 0.82903757255

x = 42.2195416164

x = 42.2 m

learn more on right angle here: https://brainly.com/question/9495022

Please help! First answer correct BRAINLIEST

Answers

Answer:

8.......................

Step-by-step explanation:

It's clear that the figure is rhombus (because diagonals make right angle).

Rhombus area formula: (AC×BD)÷2

So if we have area and one diagonal then it's easy to find another diagonal.

S=AC×BD÷2

14.5×BD÷2=58

14.5BD=58×2

14.5BD=116

BD=116÷14.5

BD=8

2. When plotting a point on a coordinate grid using an ordered pair, the
first number tells you to go up.
O True
False

Answers

Answer:  False

Explanation:

Any point is of the form (x,y)

The first coordinate is x which tells us to go either left or right depending on whether x is negative or positive.

Example: (-2,3) means we go left 2 units

Another example: (5,7) means we go to the right 5 units.

The starting point is the origin where the x and y axis meet up.

Answer:

False

Step-by-step explanation:

Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is
a 40
b 30
C 20
d 10

Answers

Hello There!!

Given:-

Altitude (AB) = 6cm

Base (BC) = 8cm

To Find

Hypotenuse (AC) = ?

[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]

[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]

Inserting The Values

[tex] \text{(Hypotenuse)²} =( {6})^{2} + (8) {}^{2} [/tex]

[tex] (\text{AC}) {}^{2} = (6) {}^{2} + (8) {}^{2} \\ \implies \text{(AC)} {}^{2} = 36 + 64 \\ \implies\text{AC} = \sqrt{100} \\ \implies\text{AC} = 10 \\ \\ \therefore \text{Hypotenuse (AC)} = 10 \text{cm}[/tex]

Correct Option D= 10cm

Hope this helps

For the following pairs, indicate which do not comply with the rules for setting up hypotheses, and explain why. (Select all that apply.)
(a) H0: ? = 15, Ha: ? = 15
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(b) H0: p = 0.5, Ha: p > 0.6
This pair complies.This pair does not comply because p is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(c) H0: ? = 121, Ha: ? < 121
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(d) H0: ? = 123, Ha: ? = 125
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(e) H0: p? = 0.2, Ha: p? ? 0.2
This pair complies.This pair does not comply because p? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.

Answers

It can be inferred that H0: ? = 15, Ha: ? = 15 doesn't comply because both hypothesis use an equal sign.

How to illustrate the hypothesis?

From the information, H0: p = 0.5, Ha: p > 0.6 doesn't comply because the two hypothesis use different numbers.

Furthermore, H0: ? = 121, Ha: ? < 121 shows that the pair complies. Also, H0: ? = 123, Ha: ? = 125 doesn't comply as they use the equal sign and different numbers.

Lastly, H0: p? = 0.2, Ha: p? ? 0.2 doesn't comply because p is not a population characteristic.

Learn more about hypothesis on:

https://brainly.com/question/11555274

Solve, using the correct order of
operations, when x = 8 and y = 6.
2x - (4 + y)

Answers

Step-by-step explanation:

When x = 8 and y = 6

= 2x - ( 4 + y )

Put the value of x and y ...

= 2 × 8 - 4 × 6

Multiply 2 and 8 and 4 and 6 ...

= 16 - 24

Subtract it

= - 8

Hence...the answer is -8 ....

A law firm charges $450 per hour for its services. To raise revenues, the firm increases its fees by
10%. What is the new rate that the firm charges per hour?

Answers

Answer:

The correct answer would be $495 per hour

Step-by-step explanation:

The equation would be

450 divided by 10= 45

=450+45=495

= $495

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

y = 3/4x - 1

Step-by-step explanation:

m = (1-4)/(4-8) = -3/-4 = 3/4

b = (0, -1)

y = mx + b

y = 3/4x - 1

BRAINLIEST please if this helps!
Y=3/4x -1
-1 is the lines y-intercept
And from (4,1) to (8,4) it goes up 3 and to the right 4

If you are traveling in your car at an average rate of r miles per hour for T hours, then the distance d in miles that you travel is described by the formula d=rt that is distance equals rate times time. A distance of 60 miles at an average rate of 40 miles per hour is covered in ___ hours?

Answers

Answer:

1.5 hr

Step-by-step explanation:

d = rt

re-arrange to

d/r = t

60 miles  / 40 miles/hr = 1.5 hr  

A: x+90=180
B: 2x+90=180
C: x-90=180
D: Not enough info

Answers

the correct answer is c

Answer:

(B) 2x + 90 = 180 is an equation that could be used to find x.

Step-by-step explanation:

Observing at the triangle, we can see that..

- We are aware of two angel measurements, both of which are 45 degrees.

One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...

45 + 45 = 90 degrees

180 - 90 = 90 degrees

As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )

Step 1 : 90 should be subtracted from both sides.

2x + 90 − 90 = 180 − 90

2x = 90

Step 2 : Divide both sides by 2.

(When I use the symbol /, it signifies I'm dividing.)

2x/2  = 90/2

x = 45

Step 3: Examine your solution to see whether it is right.

2x + 90 = 180

2(45) + 90 = 180

90 + 90 = 180

This shows that 2x + 90 = 180 is an equation that could be used to find x.

Hope this helps! :D

Other Questions
Kobe collected data on the weight, in pounds, of 5 different dogs at an animal shelter. The mean of his data was 38, the median was 37, and the mode was 35. Give an example of a data set with these measures of center. Show that your data set meets the requirements Why are the Europeans shouting at Uncle Sam? The above diagram illustrates how nature recycles what natural resources? Check my grammar! Thank you! help this answer please What did you include in your response? check all that apply. my opinion on the topic examples to support my opinion language that is appropriate for the discussion text evidence from thoreaus essay Refer to your Who Is Sonia Sotomayor? book for a complete version of this text.Part AIn Chapter 9, why does Sonia feel it is important to stay true to herself?She wants to stay connected to the world in which she grew up.She prefers to do things her way, rather than to be told what to do.She wants to stand out from the other justices appointed to the bench.She feels that she has always belonged in a place different from where she came from.Question 2Part BWhich evidence from the text best supports the answer to Part A?Even though she was about to become a Supreme Court justice, she didnt want to start acting differently.Sonia liked bright red nails. The White House told her to use a plain color instead.Sonia wore it for a while, but then stopped. She isnt really the lacy type.She felt humble and proudand in awe of the world she was about to enter. What are the primary distinguishing characteristics between Prokaryotic cells and Eukaryoticcells? Why is this difference important to note? Part H In parts E, F, and G, which data sets (corrective lenses, glasses, or contacts) show the most similar variation between Doctors? i want all of you to help me and if i trust you yall better give me the right anwers Which of the following lines is perpendicular to the line with this equation ?y =4/5X 12a. y= -4/5x +9b. y=5/4x +4c. y= -5/4x -15d.y= 4/5x -5 There are no results for This Change is a Regal Idea Mary O'Dell 1. Thank you for coming out on this cold December morning. Many of us, students AND professors, have a tough time making it to an 8:00 class on Monday mornings. It takes a little extra effort-leaving the warmth of our beds to brave the wintry weather. So having you join us, bright and early, for this presentation on campus policy recommendations is great. It is my pleasure to be here. 2. But here at Regal University, handicapped students report being unable to even get to class. This is because of uncleared snow left to pile up on ramps, entrances, and walkways. According to the National Climatic Data Center, our winter seasons average temperature is twenty two degrees and we have an annual snowfall of over seventy eight inches. We must come up with a workable solution to enable all students to access the campus and classrooms safely. The snow creates a dangerous situation often blocking entrances, prohibiting wheelchairs from entering. Angie, a fellow classmate of mine, was injured when she tried to get through the snow last week. Her wheelchair tipped over. She will not be back this semester. According to campus security, during November and December alone, four student injury reports involved ice or snow covered ramps. 3. Barrier-free access to public buildings is required. The uncleared snow is a barrier. We are in violation of the 1990 Americans with Disabilities Act. This is a civil rights act that was passed by Congress and signed by the president. It is not a suggestion. It is mandatory. This act states that, People with disabilities have the right to full and equal access to any facility or accommodation of any public place. Accepting tuition from handicapped students and then not providing safe access to the classrooms for instruction is like having a customer pay for a brand new car, but not providing keys to the vehicle. 4. The solution is to clear the snow in appropriate areas when it accumulates to one-half inch or more. Areas that need plows to clear snow should be identified and prioritized. My proposal adds ramps and curb cutaways to the priority list of areas. I have been told by grounds safety supervisor, Steven Adams, that parking lots and stairs are the only areas currently set as a priority. 5. Please help me educate the board members and leaders of our university . Encourage them to change our snow removal plan. I have petitions on the back tables. Your signature marks your commitment to barrier free access at Regal University. All students should be able to get to their 8:00 a.m. classes!What is the purpose of this speech? A) to inform B) to explain C) to persuade D) to describe Adding the suffix ible to the word collect makes the new word collectible.What is the meaning of collectible?always increasing in valuecommonlow priceworth adding to a set ? rearrange q=w/3-7 to make w the subject I am writing a speech about ratifying the Constitution. It explains Separation of Powers, Checks and Balances, as well as the viewpoints of the Federalists and Anti-Federalists.First Paragraph: Hook your audience into wanting to read or hear your speech. You can tell a story or use a quote. Introduce the event and basic facts like people and places. Use at least three to five sentences.Please make it a good hook. How many medical institutions function in the texas medical center?. What is the nervous system made up of?the spinal cord, sensory organs and blood vesselsthe brain, spinal cord and the nervesthe brain and spinal cordthe nerves, sensory organs and brain If a sample originally had 120 atoms of carbon-14, how many atoms will remain after 17,145 years? Assume the half life of C14 is 5715 years. Why would a private health organization exist? Select all that apply.promote research and education for a particular disease or afflictionprovides better health care than public health care can providelack of adequate resources for governmental health agenciesprovide treatments and techniques not legal in a particular country. The circumference of circles