What is true about the relationship between alternate interior angles?

Answers

Answer 1

Answer: The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. A theorem is a proven statement or an accepted idea that has been shown to be true.

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Carl has 200 songs on his MP3 player of these songs 24 are country songs what is the percent of country songs he has

Answers

It would be 12 songs.

Divide 24 by 200.

24÷200=0.12

Multiply by 100 because percentages are out of 100.

0.12×100= 12

12%

$200 \ songs, 24 \ country \ songs \n\ \frac {24}{200} = Percent \ Of \ Country \ Songs \n\ (24)/(200) --\ \textgreater \ (12)/(100) \n\ 12 \%$

What measure of center best represents the data set? Data Set {27, 29, 26, 28, 25} A; mean only B; medium only. C; mode only D; mean or medium

Answers

The measure of center that best represents the data set is (D) mean or medium

The data set is given as:

{27, 29, 26, 28, 25}

Rearrange the set as follows:

{25, 26, 27, 28, 29}

In the above set, we have the following highlights

The elements are consecutive numbers
There is no outlier in the set

The mean and the median of a dataset that has consecutive numbers are equal

Hence, the measure of center that best represents the data set is (D) mean or medium

Read more about measure of center at:

brainly.com/question/15214370

Answer:

the answershould be D the mean or medium

Step-by-step explanation:

the speed a car travels is inversely proportional to the time it takes to complete a 100 mile trip. which of the following graphs best represents this situation

Answers

Answer:

Inversely proportion states that a relationship between two variables in which the product is a constant.

If one of the variable increases, then the other decreases in proportion so that the product is unchanged.

If y is inversely proportional to x, then the equation is of the form

$y = (k)/(x)$ ; where k is the constant proportionality.

As per the given condition: Speed of a car is inversely proportional to the time it takes to complete a 100 mile trip,

Let x represents the speed of car and y represents the time taken.

From the given condition:

$x \propto (1)/(y)$

Then by definition of inversely proportional;

$x = (k)/(y)$ [Since, $speed = (Distance)/(Time)$ ]

Here, k represents the distance(i.e constant) = 100 miles.

therefore, the equation becomes now;

$x = (100)/(y)$ or

xy = 100

The following graph for the above equation as shown below :

One bus leaves a stop every 9minutes. A second bus leaves the stop every 15 minutes. If they both leave at 1:25 P.M., AT what time will they next leave together.

Answers

1:40 because 25 plus 15 equals 40 and if it went over 60 it would 2:00 so the answer is 1:40

Ralph is 3 times as old as Sara in 4 years, Ralph will be only twice as old as Sara will be then. Find Ralphi's age now

Answers

Answer:

Step-by-step explanation: Let x represents Sara's age, since Ralph is 3 times as old, the Ralph's age will be 3x.

In 4 years time, Sara will be x+ 4 , Ralph will also be 3x + 4

It was said that Ralph will be as twice as Sara's age in 4 years

⇒ 3x + 4 = 2 ( x+4)

⇒ 3x + 4 = 2x + 8

collecting the like terms

3x - 2x = 8 - 4

x = 4

Since x represents Sara's age, then Sara is 4 years and since Ralph is presently 3 times Sara's age, then Ralph's age is 3 x 4 = 12 years

It costs the class $15 to make cookies for the bake sale. How many cookies must at least they sell at least to make a profit if each cookie costs 11 cents to make?

Answers

Answer:

1.4

Step-by-step explanation:

First Divide the cost and the amount of cookies so in this case 15 and 11 and you will get 1.4

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