<span>D) has two rays that share a common endpoint</span>
Answer:
265.1 units²
Step-by-step explanation:
Area of circle:
3.14 × 12²
452.16
Side of the triangle:
s² = 12² + 12² - 2(12)(12)cos(120)
s² = 432
s = 12sqrt(3)
Area of triangle:
½ × s × s × sin(60)
½ × 432 × sqrt(3)/2
187.0614872
Shaded area:
452.16 - 187.0614872
265.0985128 units²
Supplementary angles are angles that add up to 180 degrees.
180 = 3x + 4 + 8x + 11
Combine like terms.
180 = 11x + 15
Subtract 15 from both sides.
165 = 11x
Divide both sides by 11
15 = x
m<ABC = 3x + 4 = 3(15) + 4 = 45 + 4 = 49 degrees.
The smaller batch is 2/3 of the large batch so anser is2/5
