<u>Question 1</u>
If we let
, then
.
Also, as
bisects
, this means
.
Thus, by the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning CE=8
Answer:
216 degrees
Step-by-step explanation:
Given that ABCDE is a regular pentagon.
Hence each angle would equal = {2(5)-4}/5 right angles
=6(90)/5 =108 degrees
Since regular pentagon rotation will not disturb the shape.
When counterclockwise rotated, if 108 degrees rotated A would become E.
For another 108 degrees A would come to D
Hence angle required for rotation for A to coincide with D = 2(108)
=216 degrees
Answer:
uh the area is 45 for the first one because 15*9 is 135 and 15*6 is 90 because you get 6 from 15-9 to get the length for the triangle. Then 135-90 is 45.
Step-by-step explanation:
The area for the second shape is 114 because you will take 14 multiplied by 12 and you get 168, then you will take 6*9 which is 54 and subtract that from 168, and you should get 114.
The area for the third shape is i dont even know because it doesnt give numbers unless your trying to find it with the letters but at least you got the first two
Answer:
the volume of the rectangular prism is 18 units.