
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
In $\triangle XYZ$, the ratio $XY:YZ$ is $5:3$. A line through $Z$ and parallel to $XY$ intersects $YX$ extended at point $W$ (with $X$ between $W$ and $Y$). Determine the ratio $WX:XZ$.

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