<u>Given</u>:
Let X and Y be two sets.
The two sets are given by and
We need to determine the value of the set
<u>Value of the set </u><u>:</u>
The value of the set is the set that contains all the elements that are at least in one of the two sets.
Hence, the union of the set is given by
Arranging in ascending order, we get;
Thus, the union of the sets X and Y is
Solution:
<h3> </h3>
2. Apply radical rule : ,
,
=
Two triangle are congruent when the shape and size of both the triangle are same.
The given information is the SAS case. Thus the option B is the correct option.
<h3>What is triangle congruence theorem?</h3>Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
Given information-
The distance of the Evelyn from the airplane is 200 meters.
The initial angle at takeoff of the plane is 12 degrees.
Evelyn is approximately 104 meters from the plane.
The angle of elevation of the plane is 12°.
The triangle made for this situation is attached below.
As in the shown triangle below this question. The distance of Evelyn from the initial takeoff of the plane is shown.
This distance is equal to the base of the triangle. Therefore we get the one side of the tingle.
Now the plane is flied 100 meters, which gives the value of another side of the triangle as shown in the image below attached.
Angle of elevation of the plane is 12 degrees, which gives the one angle of the triangle.
Thus we have one side equal to the 100 meters, one angle equal to the 12 degrees and another side with equal to the 200 meters.
Thus it is the case of side angle side.
Hence, the given information is the SAS case. Thus the option B is the correct option.
Learn more about the triangle congruence theorem here;
