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
Lola takes the train from Paris to Nice. The distance between the two cities is about 921,000 meters. If the train travels at a
Andru [333]
Distance =rate/time so your answer is 3 hours first you have to convert meters to kilometers 921000 meters = 921 Km so you have like terms to calculate so your distance becomes 921 Km then divide by the speed 907÷3 = 3 so your answer is 3 hrs
7 0
3 years ago
Read 2 more answers
A line perpendicular to the line y=5x+6
Ratling [72]

Answer:

y= -10x +12

Step-by-step explanation:

3 0
3 years ago
Having trouble with subtracting and regrouping mixed numbers. 5 1/8 -2 4/8.
Mkey [24]
You will need to convert them into improper fractions, subtract them, and convert them back to mixed numbers.
5 1/8 - 2 4/8
41/8 - 20/8
21/8
2 5/8
Your answer is 2  5/8.
5 0
3 years ago
List 2 numbers between 5.2 and 5.03
Ann [662]

Answer:

5.1 and 5.05

Not really much to explain. Still, hope this helped!

P.S. (5.2 is more than 5.03, btw)

3 0
3 years ago
10.5 equal or less than 10.005
maksim [4K]
10.5 is more than 10.005
5 0
3 years ago
Other questions:
  • In the diagram below, DE is parallel to XY. What is the value of x?
    6·1 answer
  • A rectangle measures 3 3/ 4 inches by 2 1/ 2 inches. What is its area?<br> WILL MARK BRAINLIEST
    8·1 answer
  • Find the 30th derivative of y=cos(2x)
    12·1 answer
  • 4x2+3x=0 please solve this by using quadratic formula
    9·1 answer
  • Need help please help the middle one
    10·2 answers
  • what happens to the value of the expression 1/x+5 as x decreases from a large positive positive number to a small positive numbe
    7·1 answer
  • MATH PROBLEM HERE!!,,,,,,,,,
    8·2 answers
  • Simplify: <br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%5E2%7D%7B8y%5E%7B-1%7D%7D%20%7D" id="TexFormula1"
    8·2 answers
  • 2/3 x 6 + 2/3 x 1<br> 2/3 is a fraction
    15·1 answer
  • Minh wanted to measure the height of a statue. She lined herself up with the staues shadow so that the tip of her shadow met the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!