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
puteri [66]
3 years ago
15

D is between C and E, CD = x 2 , CE = 32-2x, and DE = 12x. Find CD, DE, and CE.

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

  • CD = 4
  • DE = 24
  • CE = 28

Step-by-step explanation:

The segment addition theorem tells you ...

  CD +DE = CE

  x^2 +12x = 32 -2x

Subtract the right side to put this in standard form.

  x^2 +14x -32 = 0

  (x +16)(x -2) = 0

  x = -16 or 2

In order for DE to have a positive length, we must have x > 0. So ...

  CD = x^2 = 2^2 = 4

  DE = 12x = 12(2) = 24

  CE = 32 -2x = 32 -2(2) = 28

You might be interested in
a number cube with sides labeled 1-6 is rolled 2 times and the sum of the numbers that end face up is calculated. what is the pr
dybincka [34]
<span>Success patterns: 1/6 ; 2/5 ; 3/4 ; 4/3 ; 5/2 ; 6/1
P(sum = 6) = 6/36 = 1/6</span>
8 0
3 years ago
Select a counter-example that makes the conclusion false.
Softa [21]
A counter-example could be

There are more than 3 marbles in the bag, and the other ones are red.

Hope this helps!
4 0
3 years ago
You are taking a​ multiple-choice test that has 44 questions. each of the questions has 55 answer​ choices, with one correct ans
Aleks [24]
Since there are 55 choices, we have to have 55 options, and for 44 questions, we multiply how many options there are in 1 question by 44 to get 55*44=2420
6 0
3 years ago
According to the data reported by the New York State Department of Health regarding West Nile Virus for the years 2000-2004, the
hjlf

Answer:

31 human cases.

Step-by-step explanation:

The least squares line equation for the number of reported dead birds (x), versus the number of human West Nile virus cases (y) is

y = -10.2638 + 0.0491x

If the number dead birds reported in a year is 844, then we have to find the numbers of human cases of West Nile virus.

To find the numbers we will plug in the value of x = 844 in the linear equation.

y = -10.2638 + 0.0491(844)

  = -10.2638 + 41.4404

  = 31.1766

  ≈ 31

Therefore, 31 human cases can be expected.

8 0
3 years ago
A guy walks in the store and steals 100 without the owners knowledge. He comes back 5 minutes later and buys 70 dollars worth of
ehidna [41]
Assuming the question is how much did he lose, it's $100. If we assume he started with $500 in his register, the original $100 stolen lowers it down to $400. The guy buying $70 worth of stuff puts it back to $470 in the register, but now with $70 less merchandise, so he lost $30 in cash and $70 in merchandise.
6 0
3 years ago
Other questions:
  • Ignore the top just answer both of the questions at the bottom plz
    5·2 answers
  • What is 93•10•10•10•10•10•10•10
    12·2 answers
  • What are other equations for (12-4) x7 =x
    8·1 answer
  • Help, please!!! What is the mN?
    6·1 answer
  • Plz<br> help<br> now<br> im<br> dew<br> in<br> a<br> hour
    10·1 answer
  • Which are the solutions of the equation x^2+4x+4=25
    7·1 answer
  • Determine if the triangles are similar. If similar, state how and complete the similarity stated.​
    8·1 answer
  • James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha
    6·1 answer
  • NEED HELP ASAP!!!!!!!!!!!!!!
    12·1 answer
  • An aircraft​ (at Z) is spotted by two observers​ (at X and​ Y) who are L=1750 feet apart . As the airplane passes over the line
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!