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solong [7]
2 years ago
12

Given the following information, determine which lines, if any, are parallel. State the

Mathematics
1 answer:
Leokris [45]2 years ago
4 0

Answer:

parallel lines a and b

parallel lines l and m

Step-by-step explanation:

25 A.

Angles 3 and 7 are alternate interior angles of lines a and b cut by transversal l.

Since angles 3 and 7 are congruent, lines a and b are parallel by the theorem:

<em>If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.</em>

25 B.

Angles 5 and 12 are same side interior angles of lines l and m and transversal b.

Since the sum of the measures of the angles 5 and 12 is 180, then angles 5 and 12 are supplementary angles making lines l and m parallel by the theorem:

<em>If two lines are cut by a transversal such that same side interior angles are supplementary, then the lines are parallel.</em>

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A department store will place a sale item in a special display for a one-day sale. Previous experience suggests that 43 percent
Svetradugi [14.3K]

Answer:

672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

Step-by-step explanation:

No. of customers pass the display on the day of sale = 1462

Proportion of people will purchase if pass such a special display = 0.43

Mean = E(X)=np

E(X)=1462 \times 0.43

E(X)=628.66

Standard deviation = \sqrt{npq}

Standard deviation =\sqrt{1462 \times 0.43 \times (1-0.43)}=18.92

Now we are supposed to find how many units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

P(X<x)=0.01

Using z table

P(\frac{x-\mu}{\sigma})= 2.33 \\\frac{x-628.66}{18.92}=2.33\\x=(2.33 \times 18.92)+628.66\\x=672.7436

Hence 672.7436 units of the sale item should the store stock in order to have at most a 1 percent chance of running short of the item on the day of the sale

5 0
3 years ago
Set up equation for the following angles
maw [93]
Add each angle for the question and make them equal 180

Example: number 15
(23x-5)+(21x+5)=180
4 0
3 years ago
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Solving A = 1/2bh for b will give you b = 2A/h<br> True or False
Maksim231197 [3]
True because you divide h with A which results A/h. Then you multiply 2 with A so you can cancel 1/2 to make it 1. There you get b= 2A/h
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4 years ago
A square garden has a side length of 5 ft. What is the area of the garden?
iren [92.7K]

Answer:

The answer to your question is 20 ft squared

Step-by-step explanation: when you hear the word "side length", it means that whatever the side length is on one side, then this means that the other side lengths are gonna be the same side length as well. For example, we already know that a square garden has a side length of 5 ft. So, since we are trying to the find the area of the square garden, you can either multiply the side length of the square garden by 4, or you can add the side length of the square garden 4 times, which will look like this:

5ft*4ft=20ft2

or 5ft+5ft+5ft+5ft= 20ft2

5 0
3 years ago
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A math class consists of 20 female students and 12 male students. Two students are selected at
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Answer:

b

Step-by-step explanation:

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