Answer:
Step-by-step explanation:
Note that because BD is an angle bisector, then angle XBD and angle DXY are equal. Also note that BYD and BXD are equal because they are both right angles. Also, by the transaitive property, BD = BD. Therefore, it can be concluded that BXD is congruent to BYD.
Therefore, we must solve 
.
Answer:
f(-2) = -6
Step-by-step explanation:
2(-2-3) + 4
2(-5) + 4
-10 + 4
-6
Answer:
B: 192pi - 144
Step-by-step explanation:
Area of the sector = (120/360) * pi * r^2
Area of the sector = 1/3 * pi * 24 * 24
Area of the sector = 192 * pi
Now to find the area of the triangle.
The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.
the small angles are equal to
2x + 120 = 180 Subtract 120 from both sides
2x = 60 Divide by 2
x = 60/2
x = 30
The height of the triangle is derived from sin(30) = opposite / hypotenuse
sin(30) = 1/2
hypotenuse = 24
1/2 = opposite / hypotenuse
1/2 = opposite / 24 Multiply both sides by 24
1/2 * 24 = opposite
opposite = 12
The height = 12
r = 24
Area of the triangle = 1/2 * 12 * 24
Area of the triangle = 144
So the area of the shaded area = 192*pi - 144 which looks like B
Answer:
D
Step-by-step explanation:
it was right on edge
Answer:
V'(5, - 6)
Step-by-step explanation:
V(-5, 6)
For a counterclockwise rotation at 180°about the origin ;
The point (a, b) becomes - - - - > (-a, - b)
Therefore,
If ; V(-5, 6) is rotated 180° counterclockwise about the origin, we have ;
V(-5, 6) - - - - > V'(5, - 6)
