Answer:
Step-by-step explanation:
m and n are parallel and cut by a transversal
<u>Finding x</u>
- 8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)
- 10x + 30 = 180
- 10x = 150
- x = 15
<u>Finding y</u>
- 8x + 12 = 3y - 18 (vertical angles are equal)
- 8(15) + 12 = 3y - 18
- 132 = 3y - 18
- 150 = 3y
- y = 50
The sum of the convergent series
is 5.31
For given question,
We have been given a series 
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is 
So, the sum is,
= 
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]

=
= 
= 
= 5.31
Therefore, the sum of the convergent series
is 5.31
Learn more about the convergent series here:
brainly.com/question/15415793
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Answer:
90
Step-by-step explanation: