1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rom4ik [11]
3 years ago
6

If XY=18, YZ=14, and XZ=20, find the radius of each circle.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P  are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P  + Y M = 18 X P - M Z  = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6  /* ( - 1 )X P  - M Z = 4 X P + Y M = - 6  X P - M Z = 4    Y M - M Z = - 2           Y M + M Z = 14            2 Y M = 12  =>  Y M = 6M Z - 6 = 2  =>   M Z = 8X P + 6 = 18 
 X P = 12
Radii of the circles are: 12, 8 and 6. 
You might be interested in
Solve the following -1/2x(8x +4)
antoniya [11.8K]

Combine like terms to get -4x^2-2x

3 0
4 years ago
Jana earns $25 per week for mowing the lawn and deposits the money into her savings account. The amount of money in Jana’s accou
Tems11 [23]

Answer: y-int = That means the amount of money in Jana's account before she began mowing lawns.

Step-by-step explanation:

The y-intercept represents the initial money that Jana has in his account. Step-by-step explanation: Given the equation of line is . Also, Jana earns $ per week. And is the number of weeks she has been working. If we plug week in the equation . It will give us the y-intercept. That means the amount of money in Jana's account before she began mowing lawns. The y-intercept represents the initial money that Jana has in his account.  

5 0
3 years ago
How do u simplify this expression 8.9-1.4x+(-6.5x)+3.4?
Mumz [18]

Answer:

-5.1x + 12.3

Step-by-step explanation:

Combine like terms:  first, combine the x terms, obtaining -5.1x.

Next, combine the constants, obtaining 12.3.

The simplified expression is -5.1x + 12.3

7 0
3 years ago
PLEASE HELP ILY IF YOU DO
agasfer [191]

Answer:

who the holy christmas is ily

Step-by-step explanation:

maybe you call your dog that

wait do you have a dog?

anyways

thanks for the points

3 0
3 years ago
I need help with this problem bk I’m so konfused by it
soldi70 [24.7K]

Do you want 5 and 6 or just 5? 5 is kind of neat.

44.5% = 0.445

4/9 = 0.4444444

You have enough information to put the numbers in order.

0.44 is the smallest number.

0.44444444.... is the next smallest number

0.4445 is bigger than the number above. 5 is in the ten thousandths place. that is bigger than 4 in the thousands place of 4/9

Finally the largest number of all is 0.445 for the same reason given above.

Six

5/12 = 0.416666

0.4

42% = 42/100 = 0.42

0.416

0.4 is the smallest number

0.416 is the next smallest number

0.41666666 is bigger than 0.416 because you are adding a bunch of 6s onto the decimal place.

The largest one is 0.42. You can put these into your calculator to verify the results. For example, 0.42 - 0.4166666 = 0.003344. Any result more than 0 will show that the first number is bigger than the second.

5 0
3 years ago
Other questions:
  • Blank plus 2/3 equals 11/12
    15·1 answer
  • On a recent trip, Juan started at an elevation of 1200 feet above sea level. He descended into a valley 20.4 feet below sea leve
    15·2 answers
  • 25c+450=12,950 what is c
    10·1 answer
  • For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range. The vertex is (3, −1), the domain is all real nu
    13·2 answers
  • Factor 16p 4 - 24p 3. 8p2(2p2 - 3) 8p3(2p - 3) 8p3(2 - 3p)
    9·1 answer
  • If a boy has 4 pairs of shorts, 8 shirts, and 2 pairs of shoes, how many different outfits could he wear?
    13·1 answer
  • Hailey bought a 9 ft piece of ribbon that she will cut into 2/3 ft long pieces. How many 2/3 ft pieces can Hailey cut?
    8·1 answer
  • 84 mililiters to deciliters
    13·1 answer
  • 2,759 divided by 89?
    9·2 answers
  • Find the number. 1.5 of 20
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!