Answer:
B. 90°
Step-by-step explanation:
Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
(b + d) + (32° + 58°) = 180°
b + d + 90° = 180°
b + d = 180° - 90°
b + d = 90°
Answer:
3 or c
Step-by-step explanation:
Answer:
x = 3 ± i 
Step-by-step explanation:
Given
x² - 6x + 12 = 0 ( subtract 12 from both sides )
x² - 6x = - 12
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 12 + 9
(x - 3)² = - 3 ( take the square root of both sides )
x - 3 = ±
= ± i
( add 3 to both sides )
x = 3 ± i 
ANSWER

EXPLANATION
The measure of arc AC corresponds to 22% + 24%=46%
The complete angle of the circle is 360°.
Therefore the measure of arc AC is

This simplifies to

The correct answer is A.
Since the total degree of a triangle is 180, subtract 44 from 180 = 136. Divide it by two, and you get 68. I believe this is correct but don't take my word for it. Good luck!