<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
-0.4x=2.5 divide both sides by -0.4
x=-6.25
6 peaches were there in each box
Solution:
18/3 = 8
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