The line to find: y = mx + b
the line perpendicular to y= 2/5x+6/6 so it has the slope m × 2/5 = -1
thus the slope m = -5/2
the line passes through the point (-2,6) so:
6 = (-5/2)×(-2) + b so b = 1
the equation of the line is y = -5/2x +1
Hint: Try using the Pythagorean thereom to solve it.
Answer: 108 degrees
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Explanation:
Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle.
If we draw a line from A to C, it will pass through the center of the circle.
Therefore, arc AC is 180 degrees as this is half the distance around the circle.
minor arc AD = 72
minor arc CD = x
(minor arc AD) + (minor arc CD) = arc AC
72+x = 180
72+x-72 = 180-72
x = 108
minor arc CD is 108 degrees
B)257.1
Explanation: Area of a square : length x width
Area of square = 12x12= 144
Area of a circle: pie(radius)^2
diameter:12
radius:12/2=6
Area of a circle: pie(6)^2=113.1
ADD BOTH AREAS
Area of the figure =144+113.1
=257.1
