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
SVEN [57.7K]
3 years ago
14

what is the missing reason in the proof? a. transitive property b. symetric property c. vertical angles are congruent d. definit

ion of supplementary angles

Mathematics
2 answers:
Olin [163]3 years ago
6 0

Answer:

a. Transitive Property

Step-by-step explanation:

Transitive Property of Equality: If a = b and b = c, then a = c

If ∠2 is congruent to ∠3 and ∠2 also congruent to ∠6, that means that ∠3 must be congruent to ∠6, as well, because they all equal the same degree.

velikii [3]3 years ago
6 0

Answer: a. Transitive property.

Step-by-step explanation:

We can see that , Statement 2 , in the given proof says that ∠2 ≅ ∠3 and Statement 3 says that

∠2 ≅ ∠6

Then by using transitive property of congruence, we have

∠3 ≅ ∠6

Thus, the missing reason in the proof =  Transitive property .

Hence, the correct answer is option (a.) transitive property.

  • Transitive property of congruence says that if a ≅ b and b ≅ c then

a ≅ c.

You might be interested in
The mean rent of a 3-bedroom apartment in Orlando is $1300. You randomly select 10 apartments around town. The rents are normall
lana [24]

Answer:

96.49% probability that the mean rent is more than $1100

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 1300, \sigma = 350, n = 10, s = \frac{350}{\sqrt{10}} = 110.68

What is the probability that the mean rent is more than $1100?

This is 1 subtracted by the pvalue of Z when X = 1100. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{1100 - 1300}{110.68}

Z = -1.81

Z = -1.81 has a pvalue of 0.0351

1 - 0.0351 = 0.9649

96.49% probability that the mean rent is more than $1100

7 0
3 years ago
What is a cubic polynomial function in standard form with zeros 1,1,and -3?
Mekhanik [1.2K]

Answer:

f(x) = x³ + x² - 5x + 3

Step-by-step explanation:

The cubic polynomial has zeros at 1, 1, - 3.

Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.

Hence, we can write the polynomial as a function of x as

f(x) = (x - 1)(x - 1)(x + 3)

⇒ f(x) = (x² - 2x + 1)(x + 3)

⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3

⇒ f(x) = x³ + x² - 5x + 3

So, this is the cubic polynomial function in standard form. (Answer)

8 0
3 years ago
Evaluate the expression when x=-2 and y=3 3x-4y​
Illusion [34]

The expression re-written: 3(2) - 4(3)

First, we multiply (PEMDAS)

3 * 2 = 6

4 * 3 = 12

6 - 12 = -6

Answer: - 6

7 0
3 years ago
What is the inverse of the function g(x)=7x+3/x-5?
Ad libitum [116K]

Answer:

g(x) = (5x + 3)/ x - 7

Step-by-step explanation:

Let g(x) = y

y = (7x + 3)/x - 5

Make x the subject

xy - 5y = 7x + 3

xy - 7x = 5y + 3

x(y - 7) = 5y + 3

x = (5y + 3)/ y - 7

Therefore, the inverse of the function = (5x + 3)/ x - 7

8 0
2 years ago
What graph represents a function?
vredina [299]

Answer:

Bottom answer

Step-by-step explanation:

Although I cannot see the answer labels, the answer is the very bottom graph.  The way you can find a functional graph is if you add vertical lines going down and that there is only one point that crosses it, not two.  It is kind of difficult for me to explain, so if you need help, I suggest you look up how to know when a graph is a function or not.

4 0
3 years ago
Other questions:
  • What does dy/dx in math? Please explain
    12·2 answers
  • A family pass to the amusement park costs $54 Using the Distributive Property,write an expression that can be used to fine the c
    11·1 answer
  • If the median of the score distribution on this pop quiz is more than 170, the teacher will drop the next pop quiz. The pop quiz
    14·1 answer
  • I think it is a check my answer?
    7·2 answers
  • David rolls a fair dice 240 times. <br> How many times would David expect to roll a three?
    7·1 answer
  • What is my assignment on here
    9·1 answer
  • What is the value of the expression i0•i1•i2•i3•i4
    5·2 answers
  • Can someone please help me find mDE i will give good rating
    11·1 answer
  • Kevin is taking a taxi from the airport to his home. There is a $6 fee for riding in the taxi. In
    15·2 answers
  • Solve pls brainliest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!