Two parallel lines are crossed by a transversal. Determine the degree measure of each angle, then identify each angle's relation
ship with other numbered angles.
1 answer:
When Two parallel lines are crossed by a transversal
m∠1 = 124 ° , Relationship : Linear pair of angles
m∠2 = 56 ° , Relationship : Alternate interior angles
m∠3 = 56 ° , Relationship : vertical opposite angles
Given :
Two parallel lines are crossed by a transversal
In the diagram , it is given an angle that measures 56 degrees
m<1 and 56 are linear pair . Sum of linear pair of angles is equal to 180
∠2 and 56 are inside the parallel lines and they are opposite
<2 and 56 are alternate interior angle . Alternate interior angle are equal
<3 and 56 are opposite to each other. They are vertical opposite angles .
Vertical opposite angles are equal .
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Its long man, and complex haha... is this for a class?
Answer:
31
Step-by-step explanation:
The series are given as geometric series because these terms have common ratio and not common difference.
Our common ratio is 2 because:
1*2 = 2
2*2 = 4
The summation formula for geometric series (r ≠ 1) is:
or
You may use either one of these formulas but I’ll use the first formula.
We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.
Therefore, the solution is 31.
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Summary
If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.
Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:
Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:
Above should be applied for series that have common ratio not equal to 1.
Above should be applied for series that have common ratio exactly equal to 1.
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Topics
Sequence & Series — Geometric Series
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