
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
Rectangle $MNPQ$ has $MN=10$ and $NP=6$. Point $R$ lies on $\overline{MN}$ so that $NR=2$, point $T$ lies on $\overline{NP}$ so that $TP=2$, and point $S$ lies on $\overline{PQ}$ so that $PS=3$. Segments $\overline{MT}$ and $\overline{MQ}$ intersect $\overline{RS}$ at $V$ and $U$, respectively. What is the value of $\frac{UV}{RS}$?
A) $1.5$
B) $1.665$
C) $1.7$
D) $1.9$

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