Vertical angles are equal
-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15
m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13
Because they will always be divisible by 5
Given:
The given sequence is:
To find:
The recursive formula for 
, the nth term of the sequence.
Solution:
We have,
Here, the first term is 5.
The common difference is -7.
The recursive formula for the nth term of the sequence is
Where, 
is the common difference.
Putting 
in the above formula, we get
Therefore, the recursive formula for the nth term of the sequence is .
Answer: 43 degrees
Explanation: All of the angles inside of a triangle add to equal 180 degrees. All you have to do is subtract the two angle measures from 180 degrees to get the answer.
180-90-47=43 degrees
Area of Frame and Picture
Area = L * W
L = 9
W = 6
Area = 9*6 = 54 in²
Area of Picture
Area = L*W
L = 6
W = 4
Area = 6 * 4
Area = 24 in²
Area of Frame
Area of Frame = Total Area - Picture Area
Area of Frame = 54 - 24
Area of Frame = 30 in²
