50+ points! what is the value of p? [picture below]

Find the amount for the triangle.

First, note that the angle supplement (inside the triangle) with 90° is 90°

Next, note that the angle supplement (inside the triangle) with 133° is 47°

Now, note that a triangle's total angle measurement is 180°

Solve for p: p + 47 + 90 = 180

Simplify:      p + (47 + 90) = 180

                   p + (137) = 180

Isolate the p. Note the equal sign, what you do to one side, you do to the other. Subtract 137 from both sides

                   p + 137 (-137) = 180 (-137)

                   p = 180 - 137

                   p = 43

(C) 43° is your answer

Check:

43 + 90 + 47 = 180

90 + 90 = 180

180 = 180 (True)

~

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2