Answer:
18.85 cm²
Step-by-step explanation:
The formula to find the area of a sector = θ/360 × πr²
We are given:
θ = Angle of the sector = 135°
Radius = Diameter/2
Diameter = 8cm , Hence Radius = 8cm/2 = 4cm
Hence,
Area of a sector = 135/360 × π ×(4cm)²
= 18.849555922 cm²
Approximately to the nearest hundredth = 18.85 cm²
Therefore, the area of the sector is 18.85 cm²
Answer:
B is the correct answer.
Step-by-step explanation:
Answer:
x = 50
m∠D = 150°
m∠F = 30°
Step-by-step explanation:
- supplementary angles are two angles whose sum is 180°
∠D + ∠F = 180°
3x + x - 20 = 180
3x + x = 180 + 20
4x = 200
x = 200/4
x = 50
D = 3*50 = 150
∠D = 150°
F = 50 - 20 = 30
∠F = 30°
Theorem
In a triangle, the measure of an exterior angle equals the sum of the measures of its two remote interior angles.
x + y = z
4n - 18 + n + 8 = 133 - 6n
5n - 10 = 133 - 6n
11n = 143
n = 13
z = 133 - 6n = 133 - 6(13) = 133 - 78 = 55
Answer: C. 55
