What is the name of the relationship between ​ ∠1
​ and
∠5
?


alternate exterior angles

alternate interior angles

corresponding angles

adjacent angles

Answers

Answer 1
Answer: Corresponding angles. 
Answer 2
Answer:

Answer:

It is corresponding angles.

Step-by-step explanation:

I took the test and this is the correct answer.

You can tell what the answer is without the picture as well.


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24 21 is 60% of what number?
Help me with this question ​
Expand and simplify (2x+1)(3x-4)
Solve the following equation: 6y – 20 = 2y – 4.A. y = 3B. y = 16C. y = 4D. y = 2
A swimming pool holds 900 cubic meters of water. If its length is 20 meters and its height is 3 meters, find its width

Collect like terms 5 p 2 − p 2

Answers

Answer:

Collect like terms 5 p 2 − p 2

4p

Step-by-step explanation:

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Subtract. Write your answer in simplest form. 2/3 -3/8

Answers

2/3 = 16/24
3/8 = 9/24

16/24 – 9/24 = 7/24 

Your answer is 7/24

Answer:

Your answer is 7/24

Step-by-step explanation:

The mean is always the best measure of central tendency for a set of data. true false

Answers

False, as the mean can be skewed by an outlier in the data

ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).

Answers

The length of the diagonal of the rectangle is d = 2

What is the diagonal of a rectangle?

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as ABCD

Now , the diagonal of the rectangle is AC and BD

The measure of AC = 2 ( 5a + 1 )

And , the measure of BD = 2 ( a + 1 )

For a diagonal of a rectangle ,

The two diagonals of the rectangle will be same

So , the measure of AC = measure of BD

Substituting the values in the equation , we get

2 ( 5a + 1 ) = 2 ( a + 1 )

On simplifying the equation , we get

Divide by 2 on both sides of the equation , we get

5a + 1 = a + 1

Subtracting a on both sides of the equation , we get

4a + 1 = 1

Subtracting 1 on both sides of the equation , we get

4a = 0

a = 0

Now , substitute the value of a in measure of AC , we get

The measure of diagonal AC = 2 ( 5 ( 0 ) + 1 )

The measure of diagonal AC = 2

Hence , the measure of diagonals of the rectangle = 2

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Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1)  = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2  
BD = 2(a+1) = 2(0 + 1) = 2 × 1 = 2

Ansver:   AC = BD = 2 



Two classes have a total of 50 students. One of the classes has 6 more students than the other. How many students are in the larger class.

Answers

Let's say 'x' to number of the students in the smaller class. Since the larger one is 6 more than the smaller one, its number would be 'x+6'. So their sum is equal to 

x+x+6=2x+6 and we know total is 50 so:
2x+6=50\n 2x=50-6\n 2x=44\n x=\frac { 44 }{ 2 } \n x=22 

x is 22 so the larger number 'x+6' is equal to : x+6=22+6=28

There are 28 students in the larger class.

Let's assume the number of students in one class is x.

Since the other class has 6 more students, the number of students in the other class is x + 6.

The total number of students in both classes is 50.

Therefore, we can write the equation:

x + (x + 6) = 50

2x + 6 = 50

Subtracting 6 from both sides:

2x = 44

Dividing both sides by 2:

x = 22

So, the number of students in the larger class, which is x + 6, is:

22 + 6 = 28

Therefore, there are 28 students in the larger class.

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Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.A two column proof of the theorem is shown but the statement and reasons are not in correct order.

Answers

Reasons:
I) Segment DE is half the length of segment AC. By substitution

II) Segment DE is parallel to segment AC. Slopes of parallel lines are equal.

III) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint form