Answer:
A. 12.9
Step-by-step explanation:
We have been given a circle and we are asked to find the measure of segment 'a'.
We will use intersecting chords theorem to solve our given problem. This theorem states that when two chords intersect inside a circle, then product of segments on each chord are equal.
Using above theorem, we can set an equation as:
[tex]a\cdot 35=15\cdot 30[/tex]
Dividing both sides by 35, we get
[tex]\frac{a\cdot 35}{35}=\frac{15\cdot 30}{35}[/tex]
[tex]a=\frac{15\cdot 6}{7}[/tex]
[tex]a=\frac{90}{7}[/tex]
[tex]a=12.857142857\approx 12.9[/tex]
Therefore, the value of 'a' is 12.9 and option A is the correct choice.
