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The graph of g(x) = f(x) + 5 will have the graph of f(x) moved 5 units upward. The best choice is the last one.
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Adding 5 to each y-value (the output of f(x)) moves it upward by 5 units.
Answer:
Given: and q is a transversal.
Alternative Interior Angle states that a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal are equal.
By alternative interior angle;
Definition of Congruent angles are angles that have the same degree of measurement.
Therefore, [By definition of Congruent] .....[1]
Linear Pair states that a pair of adjacent angles formed when two lines are intersect.
therefore, and
are a linear pair. [by definition of linear pair]
Two angles of linear pairs are always supplementary , which means their measure are add up to 180 degree.
By the definition of supplementary angles, .....[2]
Substitute equation [1] in [2] we get,
By the definition of supplementary angles,
is supplementary to
Hence proved!