Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,
The angles in any triangle add to 180 degrees in measure, and and
, so that
Answer:
C. 31 kilometers north of its starting location
Step-by-step explanation:
<em>Please see attached a rough sketch of the situation for your reference</em>.
Step one:
Displacement North= 57km
Displacement South= 26km
Required
The final displacement
The current position is attained by subtracting 26km from 57km
=57-26= 31km
Therefore the current position is
C. 31 kilometers north of its starting location
Answer:
28 square units.
Step-by-step explanation:
Let us divide the shape into two rectangles and a right triangle. The resulting composite figure is attached.
As we see in the figure the area of the triangle is
.
The area of the bigger rectangle is (it's actually a square )
,
and the area of the smaller rectangle is
.
Therefore, the total area of the shape is
