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ANSWER

[tex]\cos( \angle \: F) = \frac{5}{13}[/tex]

EXPLANATION

The side length adjacent to <F is 5 units.

The length of the hypotenuse is 13 units.

The cosine ratio is

[tex] \cos( \angle \: F) = \frac{adjacent}{hypotenuse} [/tex]

This implies that:

[tex] \cos( \angle \: F) = \frac{5}{13}[/tex]

The fourth choice is correct.