Answer: a. 90°
Step-by-step explanation:
We know that the in a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc.
In the problem∠XYZ is the inscribed angle
∠XYZ=
⇒ ∠XYZ=
Since XZ is a diameter of the circle which is a line segment, thus ∠XZ=180°
∴ ∠XYZ=
∴ ∠XYZ=
Therefore, a. 90° is the measure of ∠XYZ.
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and
: True
: True
This point lies in the solution region.
Checking for (1,5)
and
: False
: False
This point does not lie in the solution region.
Checking for (5,1)
and
: False
: True
This point does not lie in the solution region.
Checking for (-1,5)
and
: True
: False
This point does not lie in the solution region.
