Given:
The set is:
![R=\{a,b,c\}](https://tex.z-dn.net/?f=R%3D%5C%7Ba%2Cb%2Cc%5C%7D)
To find:
The number of subsets in set R.
Solution:
Formula for number of subsets in a set of
elements is
Number of subsets =
...(i)
We have,
![R=\{a,b,c\}](https://tex.z-dn.net/?f=R%3D%5C%7Ba%2Cb%2Cc%5C%7D)
Here, the number of elements are 3. Putting
in (i), we get
Number of subsets = ![2^3](https://tex.z-dn.net/?f=2%5E3)
= ![8](https://tex.z-dn.net/?f=8)
Therefore, the number of subsets is 8 and the subsets are
and
.
Answer:
Proof:
By the inscribed angle theorem, we know that angle BAC is equal to angle DEC. By the second corollary to the inscribed angle theorem, we know that line segment AE is perpendicular to line segment AC. Therefore, line segment AE is tangent to circle C.
Step-by-step explanation:
Analyze and ensure the answer is correct.
Well this series is neither arithmetic or geometric as said in the other solution but since there are addition signs I will find the sum
The sum is 522.24