
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 quadrilateral  $ABCD$ , we have  $AB = 5$ ,  $BC = 6$ ,  $CD = 5$ ,  $DA = 4$ , and  $\angle ABC = 90^\circ$ . Let  $AC$  and  $BD$  meet at  $E$ . Compute  $\dfrac{BE}{ED}$ .

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