Answer:
67 degrees
Step-by-step explanation:
first find angle abc by subtracting 68 from 101 == 33
then add it to half of 68 (34) to get angle abe
we know it is half because if there is a bisector, both angles cbe and ebd are equal
The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.
<h3>What is the recursive rule?</h3>
A rule is defined such that its definition includes itself.
1.
The given sequence is
-2, -6, -18, -54
Common ratio ;
r = -6 / -2 = 3
![a _ n =-2 (3) ^{n-1}](https://tex.z-dn.net/?f=a%20_%20n%20%3D-2%20%283%29%20%5E%7Bn-1%7D)
This given formula is the explicit formula.
2.
The given sequence is
4, 8, 16, 32
Common ratio ;
r = 8 / 4 = 2
![a_n = a_{n-1}.2\\\\a _1 = 4](https://tex.z-dn.net/?f=a_n%20%3D%20a_%7Bn-1%7D.2%5C%5C%5C%5Ca%20_1%20%3D%204)
This given formula is the recursive formula.
Learn more about the recursive rule and explicit rules here:
brainly.com/question/12620593
#SPJ1
<h3>
Answer: 31 degrees</h3>
This is because rotations preserve angles. The angle measures won't change. That's why angle BCD is the same as angle B'C'D'. This applies to any rotation (regardless how much you rotate), any translation, any reflection, and any dilation.
Note: dilations will change the side lengths