
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 $\Delta ABC$, $\overline{FG} \parallel \overline{AB}, CF=5$ cm, $FA=15$ cm, and $CG=8$ cm. What is the number of centimeters in the length of $\overline{CB}$?

[asy]
pair A,B,C,D,E;
A = (-3,-6); B = (6,-6); C = (0,0); D = A/4; E = B/4;
draw(E--D--C--B--A--D);
label("A",A,W); label("B",B,dir(0)); label("C",C,N); label("D",D,W);
label("E",E,dir(0));
[/asy]

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