The central and inscribed angle theorem is used to solve angles and arc measure in a circle.
<h3>What is the Central and Inscribed Angles Theorem?</h3>
The theorem shows the relationship of the measures of an inscribed angle, central angle, and their intercepted arc.
It states that:
- central angle measure = measure of inscribed angle.
- inscribed angle measure = 1/2(measure of inscribed angle)
Therefore, the central and inscribed angle theorem is used to solve angles and arc measure in a circle.
Learn more about central and inscribed angle theorem on:
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X + y = 12 x - y = 10, the value of the x-determinant for the system shown is -2. Solution: determinant = (1*-1) - (1*1) = -2.
Answer: To solve such problems we need to know about Trigonometry.
Trigonometric functions
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of x is 5√3.
Explanation: Given to us,
the base for the triangle, AB = 5 units,
Hypotenuse for the triangle, BC = 10 units,
∠B = 60°,
Solution
The question can be solved in two ways,
1. Using the Pythagoras theorem,
According to Pythagoras theorem,
substituting the values,
2. using the trigonometric function for ∠B,
for ∠B in ΔABC,
substituting the values,
we know that value of tan(60°) is √3,
Hence, the value of x is 5√3.
