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.
Answer:
Collect like terms 5 p 2 − p 2
Step-by-step explanation:
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Answer:
Your answer is 7/24
Step-by-step explanation:
The length of the diagonal of the rectangle is d = 2
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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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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