
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Two circles with centers at points $A$ and $B$ are externally tangent and have radii of $7$ and $4$ respectively. A line tangent to both circles intersects ray $AB$ at point $C$. What is the distance from point $B$ to point $C$ ($BC$)?
A) $\frac{44}{3}$
B) $\frac{33}{2}$
C) $15.3$
D) $14.7$

Present the answer in LaTex format: \boxed{Your answer}
user