Answer:
m∠ADC = 20°
Step-by-step explanation:
A circle B has points B, C and D on the circumference.
m∠ABC = 40° [Cntral angle]
Since measure of the central angle is double of the inscribed angle by the arc
m∠ABC = 2(m∠ADC)
Here ∠ABC = Central angle
and ∠ADC = Inscribed angle
40° = 2(m∠ADC)
m∠ADC =
= 20°
Therefore, measure of angle ADC is 20°.
Answer:
sin (x) ≥ 0, between 0° and 180° or 0 and π,
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6
Step-by-step explanation:
This is how I would do it. Subtract sin(x) from both sides
2 - sin(x) ≥ 0 , then factor out sin(x)
sin(x) [2 sin(x) - 1] ≥0, then set each factor ≥ 0
sin(x) ≥ 0 and 2 sin(x) - 1 ≥ 0
sin (x) ≥ 0, between 0° and 180° or 0 and π
2 sin(x) ≥ 1
sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6