Please explain how to get this answer.
1 answer:
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Answer:
<ABC = (The central angle of a circle is twice any inscribed angle subtended by the same arc).
Step-by-step explanation:
From the diagram, ABC is an inscribed isosceles triangle. But the radius of the circle equals the length AC.
Join P to A and C to form an equilateral triangle. An equilateral triangle has equal sides and angles. So, the value of each interior angle of the equilateral triangle is;
Sum of angle in a triangle =
So that each interior angle =
=
The value of each interior angle of the triangle is . Thus, <APC =
.
⇒ <ABC = (The central angle of a circle is twice any inscribed angle subtended by the same arc.)
Answer:
d and g
Step-by-step explanation:
Given
(x - 2)² = - 16 ( take the square root of both sides )
x - 2 = ± = ±
= ± 4i ( add 2 to both sides )
x = 2 ± 4i
Thus
x = 2 + 4i → (d)
x = 2 - 4i → (g)