Answer:
32 degrees
Step-by-step explanation:
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees
B: (m, n)
C: (m – n, 0)
D: (m, 2n)
Answer:
(m,n)
Step-by-step explanation:
Since O is at the origin, we can take the coordinates of point A and divide them by 2 to find the midpoint
( 2m/2,2n/2)
The midpoint is at (m,n)
Answer:
To find the area of the polygon with the given vertices A(-5, 0), B(0, 10), and C(15, 0), you can use the formula for the area of a triangle when you have the coordinates of its vertices. The formula is:
Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
In this case, A(-5, 0), B(0, 10), and C(15, 0), so you can plug in these coordinates into the formula:
Area = 1/2 * |-5(10 - 0) + 0(0 - 0) + 15(0 - 10)|
Simplify the expression inside the absolute value:
Area = 1/2 * |-50 + 0 - 150|
Now, continue simplifying:
Area = 1/2 * |-200|
Since we're taking the absolute value, it becomes:
Area = 1/2 * 200
Now, calculate the area:
Area = 100 square units
So, the area of the polygon is 100 square units.
You can also use the distance formula, but this way is faster to me :-p