answer.
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
Mrrafil [7]
2 years ago
12

25 points ! Circle B is Internally tangent to circle A at point p. Likewise, circle C is internally tangent to circle D at point

P. If BD=AC , AB=4, and SD=2, find the length of diameters for circles C and D. Be sure to justify your work. The Picture is the diagram

Mathematics
1 answer:
Greeley [361]2 years ago
3 0
All the given points are collinear, so we have ...
  AB +BC = AC
  BC +CS +SD = BD
The problem statement tells us
  BD = AC
  BC +CS +SD = AB +BC . . . . . substituting for BD and AC
  BC +CS +2 = 4 +BC . . . . . . . . substituting given lengths
  CS = 2 . . . . . . . . . . . . . . . . . . . subtract (2+BC)

CS is the radius of Circle C, so its diameter is twice that: 4. The radius of Circle D is the diameter of Circle C plus SD, so is 4 +2 = 6. The diameter of Circle D is twice that: 12.

The diameter of Circle C is 4.
The diameter of Circle D is 12.
You might be interested in
Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4
shutvik [7]

Answer

The answer is C. Trina is not correct because the two sides of the equation are equivalent.

Step-by-step explanation:

1.  solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

<u><em></em></u>

<u><em></em></u>

<u><em>Hope This Helps :p</em></u>

8 0
2 years ago
Read 2 more answers
A radio station is having a promotion in which every 12th caller receives a free concert ticket and every 15th caller receives a
marusya05 [52]
For this, we need to find the lowest common multiple of 12 and 15....

common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60

the caller that will be the first to win both is the 60th caller


7 0
2 years ago
Read 2 more answers
If 24= 2f+3f+f, find f​
VashaNatasha [74]

Answer:

6f = 24

f = 4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A radar gun measured the speed of a baseball at 103 miles per hour. If the baseball was actually going 102.8 miles per hour, wha
zimovet [89]

Answer:

.998%

Step-by-step explanation:

102.8/103 = .9980582524

5 0
2 years ago
Read 2 more answers
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way
attashe74 [19]

Answer:

  • 6 hours and 24 min

Step-by-step explanation:

<u>The distance is:</u>

  • 60*8 = 480 miles

<u>Return trip will take:</u>

  • 480/75 = 6.4 hours = 6 hours and 24 min
5 0
2 years ago
Other questions:
  • Tina is saving to buy a notebook computer. She has two options. The first option is to put $200 away initially and save $10 ever
    10·2 answers
  • The ratio of blue tacks to red tacks on the bulletin board is 3 to 5. There are 50 red tacks. How many blue tacks are on the boa
    10·1 answer
  • Which of these triangle pairs can be mapped to each other using a single translation?
    10·2 answers
  • The ratio of the height to the width of a packaging label is 5 to 19. If the height of the label is 2 inches, what is its width?
    15·2 answers
  • Devon exercised the same amount of time each day for 5 days last week. e His exercise included walking and swimming. e Each day
    11·1 answer
  • in a scale drawing of an apartment, 1 centimeter represents 2 3/4 feet. If the length of the kitchen in 4 1/2 cm on the scale dr
    12·1 answer
  • What is the answer to this <br> -4q-(-8q)+10
    14·1 answer
  • HURRY !!! Farmer McHenry is going to sell his tomatoes at the farmer's market. It costs Farmer McHenry $2.50 in gas, $1 for the
    11·2 answers
  • Cam wants to find 509-106. Which steps can he use to find the difference
    14·1 answer
  • A soda factory has a special manufacturing line to fill large bottles with 2 liters of their beverage. Every process is computer
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!