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:
r=-6
Step-by-step explanation:
Answer:
Taylor is 14.
Step-by-step explanation:
Max is 3. Emma is six years older than Max.
3+6=9
Emma is 9. Taylor is five years older than Emma.
9+5=14
Answer:
As shown in picture, we have

Hope this helps!
:)
Explanation:
Let say right triangle ABC has A = 90 deg.
=> BC is hypotenuse.
=> BC = AC x BC/AC = AC/(AC/BC) =AC/cosC.
That's the way we've done!
In general, if we have
then
Thus, the first answer choice is correct.