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
DENIUS [597]
3 years ago
12

Please help!! Given: 2 ≅ 5, AB ≅ DE Prove: BC ≅ EC

Mathematics
1 answer:
Lunna [17]3 years ago
4 0
Statements | reasons
1. 2 ≅ 5, AB ≅ DE 1. given
2. 3 ≅ 4 2. vertical angle thm.
3. △BAC ≅ △CDE 3. AAS
4. BC ≅ EC 4. CPCTC


thm. = theorem

CPCTC = Corresponding parts of congruent triangles are congruent

sorry if it looks a bit strange
You might be interested in
Write the equation of a line through (3,1), parallel to y = x + 1
Vera_Pavlovna [14]

Answer:

The answer is C ( y= 2/3x - 1 )

Step-by-step explanation:

Equation Formula : y - y1 = m ( x - x1)

y - 1 = 2/3 ( x - 3 )

y - 1 = 2/3x - 2

y = 2/3x - 2 + 1

y = 2/3x - 1

8 0
3 years ago
It is known that 10% of the 9-year old children in a town have three siblings. Fifteen 9-year old children are selected at rando
inn [45]

Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, for the parameters, we consider that:

  • 10% of the 9-year old children in a town have three siblings, hence p = 0.1.
  • Fifteen 9-year old children are selected at random, hence n = 15.

The probability that more than 3 of these selected children have three siblings is given by:

P(X > 3) = 1 - P(X \leq 3)

In which:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432

P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669

P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445

P(X > 3) = 1 - 0.9445 = 0.0555

0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.

More can be learned about the binomial distribution at brainly.com/question/24863377

5 0
2 years ago
Your digital camera has a 512 megabyte memory card. You take low resolution pictures requiring 4 megabytes of memory each and hi
lys-0071 [83]
128 with 4 megabytes and 64 with 8 megabytes
3 0
3 years ago
are this calculations correct? 65-32=34 and 47+39=86.Show how you could check this using the inverse.
Alexxandr [17]
<span>STEP 1: Stick a "y" in for the "f(x)" guy:STEP 2: Switch the x and y. ( because every (x, y) has a (y, x) partner! ):STEP 3: Solve for y:<span>STEP 4: Stick in the inverse notation, continue. 1 2 3.
these are the steps and that is not correct </span></span>
5 0
3 years ago
Read 2 more answers
A toy store buys action figures from a factory for $8.00 per action figure. If they mark-up the toys 110% before selling them, w
polet [3.4K]

Answer:

$8.80

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • How do I do this problem? (3/8)^2÷(3/7+3/14
    8·1 answer
  • Need Help with # 16...............................
    13·2 answers
  • Brianna’s rectangular garden has a length that is 3 feet longer than double the width. The area of the living room is 65 square
    10·1 answer
  • The table below represents a linear function f(x) and the equation represents a function g(x):
    9·1 answer
  • How do you get the positive zeros and negative zeros?
    10·1 answer
  • Which two ratios represent quantities that are proportional?​
    11·1 answer
  • Write 3 and16/25 as a percent
    13·1 answer
  • Please help I’m really stressed
    5·1 answer
  • What is the solution to 4x+63 ≤ 18?​
    10·2 answers
  • A) Please help, In the town of blueston, there are 6 brown houses for every 8 blue houses. What is the ratio of brown houses to
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!