E and f are supplementary. the measure of e is 54 more than the measure of f. find the measures of each angle.

Mathematics

1 answer:

Katen [24]3 years ago

6 0

Supplementary means they add up to 180

X + 54 = 180

180-54= x

X = 126

126+54=180?

Yep

So your answer is

126

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Answer:

The equation of the graph after translating one unit to the left is;

$y = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3$

Step-by-step explanation:

The given equation is $y = \left | \dfrac{1}{2}\cdot x - 2 \right |+3$

We note that minimum value of y = 3, where 1/2·x - 2 = 0 and x = 4

Therefore, in moving one unit to the left, we have at the y-intercept where slope of the graph has become inverted (reflection of the real graph) we add one to the x value as follows;

$y = \left | \dfrac{1}{2}\cdot (x+1) - 2 \right |+3 = \left | \dfrac{x}{2} + \dfrac{1}{2} - 2 \right |+3 = \left | \dfrac{x}{2} - \dfrac{3}{2} \right |+3$