Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?


construct the incenter

construct the orthocenter

estimate the best place

construct the circumcenter

Answers

Answer 1
Answer: D) construct the circumcenter

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Explanation:

Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.

This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.

To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.

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Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.


Related Questions

Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns

Answers

Answer:Hope this helps!

Step-by-step explanation:

Cheyenne bought 60 tickets for rides at an amusement park. Each ride costs 4 tickets, and Cheyenne has been on x rides so far. Write an expression is equivalent to the number of tickets that Cheyenne has left?​

Answers

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y

Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?

Answers

Answer:

4/24

Step-by-step explanation:

Alvin is 15 years younger than Elga. The sum of their ages is 49. What is Elga's age?

Answers

Answer:

32

Step-by-step explanation:

Suppose Alvin is x years old. Then Elga is x+15 years old.

x+x+15=49

2x=34

x=17

17+15=32

Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times

Answers

Answer:

0.75 ;

150

Step-by-step explanation:

Probability of rolling two even numbers :

{1, 2, 3, 4, 5, 6}

P(even) = 3 / 6 = 1/2

From a roll of 2 dice :

P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25

P(not even) = 1 - 1/4 = 3/4

X : ____ 6 _______ - 1

P(x) ____ 0.25 ____ 0.75

Expected value :

Σx*p(x) = (6*0.25) + (-1 * 0.75)

= 1.50 - 0.75

= 0.75

If 200 games are played :, n = 200

Expected value * n

0.75 * 200

= 150

*PLEASE ANSWER!!! THANK YOU*
Greg is a pharmaceutical sales rep who works on commission. He needs to sell his product to at least 5 doctors each month. What is the term that represents needing to sell a certain amount before getting paid?

a.) Quota
b.) Salary
c.) Gross pay

Answers

Answer:

A

Step-by-step explanation:

what is the slope of (4,6) and (-6,2)​

Answers

Answer:

2/5

Step-by-step explanation:

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

m=(2-6)/(-6-4)

m=-4/-10

simplify

m=2/5

Answer:

Step-by-step explanation:

Slope is m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

m=2/5

ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =

Answers

Answer:

-38

Step-by-step explanation:

Select all expressions that are equivalent to 16x − 12 − 24x + 4 by showing your work & explain your reasoning. 1)40x - 16 2)4 - 12 - 4x + (- 4x) 3) 8x - 8 4)-8 (r + 1)

Answers

Answer:

4 - 12 - 4x + (- 4x)

-8 (x + 1)

Step-by-step explanation:

16x - 12 - 24x + 4

16x - 24x - 12 + 4

-8x - 8

1)40x - 16 = not equivalent

2)4 - 12 - 4x + (- 4x)

4 - 12 - 4x - 4x

-8 - 8x = - 8x - 8 (equivalent)

3) 8x - 8 (not equivalent)

4)-8 (x + 1) = - 8x - 8 (equivalent)

how has personal finance literacy affect you in your daily life?

Answers

Answer:

I have no idea. Is this a real question? If it, I'll answer it to the best of my ability. :)

Step-by-step explanation:

A storekeeper increased the price of hats by 5%.

Write an equation to calculate the increase of the total

cost, c, when the price of a hat is p dollars.

Select all that apply.

A c 1.50p

BC-,95p

cc 1.05p

Dc-1 + 05p

Ec-(1 + .05)p

Answers

Answer: c = 1.05p

Step-by-step explanation:

Price of the hat = p

Percentage increase in the price of the hat = 5%

The equation to calculate the increase of the total cost, c, of the hat will be:

c = p + (5% × p)

= p + (5/100 × p)

= p + (0.05 × p)

= p + 0.05p

c = 1.05p

Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.

Answers

Answer:

I think its OB but I'm not sure

Step-by-step explanation:

I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x​

Answers

Answer:

Step-by-step explanation:

i make games check me out
https://www.freeriderhd.com/u/thecoykid
click on created tracks and then click on a game to play
who ever tells me how they are AND plays them gets brainliest

Answers

i did it and i’m good today!

Answer:

lolll i love those games rn im playing one abt a lil guy on a bike

A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)

Answers

Answer:

Given:

The radius of a wheel =r=35 cm=0.35 cm.

The speed it must keep =s=66 km/h=

60

66×1000

m/min=1100 m/min

To find out:

The number of revolution =n, it makes per minute to maintain that speed.

Solution:

The circumference =C of the wheel =2πr=2×

7

22

×0.35 m=2.2 m=C

The distance the wheel covers in 1 min=d=1100 m.

Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.

∴ Here the number of revolution =n=

C

d

=

2.2

1100

=500.

geometry: pls help :(

Answers

AC=64
CF=32
DF=28
this should be right:)

Which two statements are true

Answers

Answer:

Only 2nd option is the correct answer.

There is no other correct option given.

Step-by-step explanation:

Hope it helps you in your learning process.

10 points and king crown extra 5+ points and pplease go to pic and answer it

Answers

Answer:

the answer is 30x+33

1

What is the slope of this non-vertical line? Use your transparency if needed.

3

There’s no further instructions on this please help

Please help

Answers

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

The school band is selling t-shirts for a fundraiser. The initial cost for a steamer to apply the decals is $100. It is predicted that the cost of material for each shirt is $12. The function that shows the band's average cost per t-shirt after x t-shirts are sold is:

Answers

Answer: Vertical asymptotes is x = 0 and the horizontal asymptotes is y = 12.

The average cost approaches to 12 when the number of shirts increases.

Step-by-step explanation:

Since we have given that

Initial cost for a steamer to apply the declas = $100

Cost of material for  each shirt = $12

Function representing the band's average cost per t-shirt  after x t-shirt are sold is given by:

We need to find the vertical asymptotes , horizontal asymptotes and the average cost to make a t-shirt approaches as the number of t-shirts increases,

For vertical asymptotes , we will make denominator equal to zero.

So, it will be

Thus, vertical asymptotes is x= 0.

Similarly,

For horizontal asymptotes, we first check the degree of both numerator and denominator.

Since we can see that both have the same degree i.e. 1.

So,

So, the horizontal asymptotes is y = 12.

When the number of shirts increases ,The average cost to make a T-shirt approaches is given by

Hence, the average cost approaches to 12 when the number of shirts increases.

Answer:

The vertical asymptote is x = 0

The horizontal asymptote is y = 12

The average cost to make a t-shirt approaches $12 as the number of t-shirts made increases.

Step-by-step explanation:

I need help with this problem, if someone could answer it, it'd make me happy^^
Find y in XYZ if measure Y = 36, measure X = 49, and x = 12.

Answer choice:
A. 0.04
B. 9.35
C. 14.80
D. 15.41

Answers

Hi I just saw your message yesterday I am really excited to hear ok byeee 2348 ok. Hi

Find each slope and y-intercept. Then graph each equation.​

Answers

Answer:

1/2= slope

-3= y-intercept

Step-by-step explanation:

According to the formula, y=mx-b:

b= y-interceptm= slope

Help please ill give 20 points

Answers

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

Pls help I hate math
A water container in the shape of a rectangular prism has a length of 2 meters, a width of 3/4 meter, and a height of 1/2 meter. If a cubic meter of water costs $1.20, what is the cost to fill the container?

Answers

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

I. find the distance the two given points​

Answers

Answer:

Step-by-step explanation:

Use the formula,

distance = √[(x1-x2)^2 + (y1-y2)^2]

Rosalia passed out fliers that say, “Vote for Rosalia!" She
gave out 85 fliers on Monday, 66 fliers on Tuesday, and
99 fliers on Wednesday. What fraction of the fliers did
she give out on Wednesday? Use a diagonal fraction bar
in your answer Explain how you found the answer

Answers

Answer:

Step-by-step explanation:

there is a total of 250 fliers. the simplist form is 99/250

Answer:80

Step-by-step explanation:it’s -19 then +33 so 85-19=66 and 66+33=99

help me please i don’t understand

Answers

Answer:

please go through the steps

List the sides of the triangle in order from shortest to longest.

Answers

Answer:

FH, GF, GH

hmmmmmmmmmmm

Solve the system below.
y = x2
y = –2x + 15

Answers

Answer:

since,

y = 2x and y = –2x + 15

then,

2x = –2x + 15

or, 4x = 15

or, x = 15/4

or, x = 3.75

Also,

y= 2x

= 2*3.75

= 7.5

Hope it helped

All the best!!

Answer:

Step-by-step explanation:

[tex]x^{2} = -2x^{2} +15[/tex]

add [tex]2x^{2}[/tex] to both sides

[tex]3x^{2} = 15[/tex]

divide each side by 3

[tex]x^{2} =5[/tex]

square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]

[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]

The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.

Answers

Answer:

f(50) = 109.44943 feet

Step-by-step explanation:

Modeling

The model of a situation where the skid distance f is measured against the car speed x can be expressed as:

[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]

Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:

[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]

[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]

f(50) = 109.44943 feet

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