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Readme [11.4K]
2 years ago
8

9. Which lines are parallel if mZ4=mZ5? Justify your answer.

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

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You randomly choose two shapes from the bag, with replacement. Find the probability of choosing a star and then a circle. Write
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Answer:

1/3

Step-by-step explanation:

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3 years ago
A class has 4 boys and 10 girls. What is the ratio in the simplest form that compares a number of boys to a total number of stud
sergejj [24]

Answer:

4 to 14 should be the right answer

6 0
2 years ago
5/6 of all the money in Salma's bank account is ₹55,000. how much money does Salma have in her bank account?
Vedmedyk [2.9K]

Answer:

₹66,000

Step-by-step explanation:

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8 0
1 year ago
There are 5 pens in a container on your desk. Among them, 3 will write well but 2 have defective ink cartridges. You will select
Norma-Jean [14]

Answer:

Kindly check explanation

Step-by-step explanation:

Total Number of pens = 5

Number of defective pens = 2

Number of non-defective pens = 3

A.) number of defective pens selected :

X : {0, 1, 2}

It is possible that no defective pen will be selected ; 1 defective will be chosen or both pens are defective.

2.)

Defective as Success (since selecting a defective pen is the point of interest.

3.)

Since selection is done without replacement

Probability of success per selection is different for each selection ;

Number of defective = 2

Number of observations = 5

P(success on first selection) = 2/5

P(success on second selection) = 1/4

Hence, X is not well approximated by a binomial random variable.

4.) if selection is done with replacement ; then then the probability of success per selection will be the Same for each selection made. Hence, X will be well approximated by a binomial Random variable.

5.) If sampling is done without replacement, then the the hypergeometric function will be a more effective approximation.

7 0
3 years ago
8x -6=18 what does x equal
professor190 [17]

Answer:

x = 3

Step-by-step explanation:

8x -6 = 18

Add 6 to both sides.

8x = 24

Divide both sides by 8 to isolate x.

x = 3

4 0
2 years ago
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