Answer:
what?
Step-by-step explanation:
The values of x and y are ⇒ x = 4 and y = 9
Step-by-step explanation:
In a parallelogram
1. Each two opposite sides are equal and parallel
2. Each two opposite angles are equal
3. Its two diagonals bisect each other
In parallelogram ABCD
∵ Its diagonal AC and BD intersect each other at point E
∵ AC and DE bisect each other at E
∴ E is the mid-point of AC
∴ AE = EC
∴ E is the mid-point of BD
∴ DE = EB
∵ AE = x + 5
∵ EC = y
∵ AE = EC
∴ x + 5 = y ⇒ (1)
∵ DE = 2x + 3
∵ EB = y + 2
∵ DE = EB
∴ 2x + 3 = y + 2
- Subtract 2 from both sides
∴ 2x + 1 = y ⇒ (2)
Substitute y in equation (2) by equation (1)
∵ 2x + 1 = x + 5
- Subtract x from both sides
∴ x + 1 = 5
- Subtract 1 from both sides
∴ x = 4
Substitute the value of x in equation (1) to find y
∵ x + 5 = y
∵ x = 4
∴ 4 + 5 = y
∴ y = 9
The values of x and y are ⇒ x = 4 and y = 9
Learn more:
You can learn more about parallelograms in brainly.com/question/6779145
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Answer: OPTION B.
Step-by-step explanation:
When parallel lines are cut by a transversal several angles are formed.
There are pairs of angles called "Alternate Interior angles".
These angles are not adjacent and they are located between the parallel lines, and on opposite sides of the transversal.
By definition, they are are congruent, or, in other words the measure of Alternate Interior angles are equal.
In this case, you can identify that the 
and the 
are Alternate Interior angles.
Based on the data given in the exercise, you know that the measure of the angle 8 is:
So, You can determine that the angle 2 have the same measure. This is:
Answer:
I don't know 100 percent if I did it right but I got 60.03
Answer:
1760 Hz
Explanation:
The equation for the displacement has the following general formula:
d = A sin(wt)
where:
A is the amplitude
w is the angular frequency
the given equation is:
d = 0.6 sin(3520πt)
We can note that:
w = 3520 π rad/sec
Now,
w = 2πf where f is the frequency
Therefore:
3520π = 2π*frequency
This means that:
frequency = 1760 Hz
Hope this helps :)
