<h3>
Answer: 54 degrees (third choice)</h3>
Explanation:
AB is a diameter of circle C. This leads to angle ACB being 180 degrees. By Thales Theorem (a special case of the inscribed angle theorem) we know that angle D is 90 degrees.
Therefore, triangle ADB is a right triangle. The acute angles (A and B) add to 90, and we can say they are complementary angles.
A+B = 90
36+B = 90
B = 90-36
B = 54 degrees
7.) (x, y) —> (1/2*x, 1/2*y)
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Answer:
h(x) = (x +1.5)^2 -20.25
Step-by-step explanation:
We assume you want to rearrange h(x)= x^2 +3x -18.
Recognize the coefficient of x is 3. Add and subtract the square of half that. (3/2)^2 = 9/4 = 2.25
h(x) = (x^2 +3x +2.25) -18 -2.25
Now, write the expression in parentheses as a square, simplify the constant.
h(x) = (x +1.5)^2 -20.25 . . . . . . . . vertex form
