Answer:
- circumscribed circle
- The center of a circle circumscribing the triangle connecting the 3 cities will be equidistant from all three cities.
Step-by-step explanation:
The circumscribed circle or <em>circumcircle</em> of a polygon is a circle that passes through all the vertices of the polygon. The center of the circle, the circumcenter, is equidistant from all of the polygon's vertices.
The center is found at the point of intersection between the perpendicular bisectors of any two (non-parallel) chords of the circle. That is, <em>the perpendicular bisectors of any two of the sides of the triangle joining the cities will intersect at the circumcenter</em>.
The method of locating the center of the circle this way is simple and effective.
It is given that
.
Now, know that in 180 degrees there are
radians. This can be written as:
radians
radians (dividing both sides by 180)
Thus, to find the measure of the given angle of
in radians, we will have to multiply the above equation by 135. Thus, we get:
radians
radians
Thus, equivalent to the radian measure of angle a is 2.356
Answer:
Step-by-step explanation:
a)/Let x represent the amount of money earned by the World Issues club for all their fundraising activities this year.
Let y represent the revenue generated for the foundation.
b) The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. Therefore, an equation that will determine the amount of money the foundation will receive is
60/100 × x = y
0.6x = y
The ABC sequence of points is clockwise in both figures, so there will be an even number of reflections or a rotation.
Rotation 90° clockwise about the point (-3, -3) would make the required transformation, but that is not an option. An equivalent is ...
• reflection across the line x = -3
• reflection across the line y = x