
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
The sides of a pentagon, in order of traversal, are 5, 6, 7, 8, and 9. The sides of this pentagon are tangent to a single circle. Into what segments does the point of tangency with the side of length 5 divide this side?

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