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Anna007 [38]
3 years ago
9

State which theorem you can use to show that the quadrilateral is a parallelogram.​

Mathematics
1 answer:
leva [86]3 years ago
6 0

Answer:

Actually, there are two. They are the Parallelogram Opposite Sides Theorem and the Parallelogram Opposite Angles Theorem.

Step-by-step explanation:

POST means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

POAT means that if opposite sides of a quadrilateral are the same, it's a parallelogram.

A quadrilateral has to meet both of these theorems to be a parallelogram.

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The probability of winning a certain lottery is 1/77076 for people who play 908 times find the mean number of wins
Alex73 [517]

The mean is 0.0118 approximately. So option C is correct

<h3><u>Solution:</u></h3>

Given that , The probability of winning a certain lottery is \frac{1}{77076} for people who play 908 times

We have to find the mean number of wins

\text { The probability of winning a lottery }=\frac{1}{77076}

Assume that a procedure yields a binomial distribution with a trial repeated n times.

Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.

n=908, \text { probability } \mathrm{p}=\frac{1}{77076}

\text { Then, binomial mean }=n \times p

\begin{array}{l}{\mu=908 \times \frac{1}{77076}} \\\\ {\mu=\frac{908}{77076}} \\\\ {\mu=0.01178}\end{array}

Hence, the mean is 0.0118 approximately. So option C is correct.

4 0
3 years ago
Write the contrapositive and the converse of the following conditional
Lunna [17]

The contrapositive statement are:

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

<h3>What is the converse statement?</h3>

The  converse statement are:

  • If the late is frozen, then it is cold.
  • If Solomon is happy, then he is healthy.
  • If Tigist Tigist  does not take a walk, then it will rain.

Note that the converse of a statement is created by the act of switching the hypothesis given and also the conclusion.

Therefore, The contrapositive statement are

  • If the lake is frozen, then it isn't cold.
  • If Solomon is happy, then  he isn't healthy.
  • If Tigist  does not take a walk, then it will not rain

Learn more about contrapositive statement  from

brainly.com/question/1713053

#SPJ1

6 0
2 years ago
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Each side of the smaller square in the figure below is n inches long, and each side of the larger square is p inches longer than
lana66690 [7]

Answer:

2np + p²

Step-by-step explanation:

The general formula for the area of a square is A = s², where s = the length of one side of the square.  In the case of the smaller square the area would be: n x n = n².  Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'.  To find the area of the larger square, we have to take the length x length or (n +p)².

Using FOIL (forward, outside, inside, last):

(n + p)(n+p) = n² + 2np + p²

Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.

n² + 2np + p² - n² = 2np + p²


8 0
3 years ago
The Pythagorean Theorem- Find the Missing Length:
drek231 [11]

The miles he drove North on Avenue B is 24 miles.

<h3>What is Pythagoras theorem? </h3>

According to the Pythagoras theorem, the square of the hypotenuse is the sum of the square of the opposite sides.

The Pythagoras theorem: a² + b² = c²

Where:

  • a = length
  • b = base = 7 miles
  • c = hypotenuse = 25 miles

<h3>How many miles did he drive north of Avenue B? </h3>

25² - 7²

625 - 49 = 576

√576 = 24 miles

Please find attached the required diagram. To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

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kati45 [8]
The sum of the four answers is -8.3 i believe
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3 years ago
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