Answer:
OPTION C: Sin C - Cos C = s - r
Step-by-step explanation:
ABC is a right angled triangle. ∠A = 90°, from the figure.
Therefore, BC = hypotenuse, say h
Now, we find the length of AB and AC.
We know that: 
and 
Given, Sin B = r and Cos B = s
⇒ 
⇒ 
Hence, the length of the side AC = rh
Now, to compute the length of AB, we use Cos B.

⇒ 
Hence, the length of the side AB = sh
Now, we are asked to compute Sin C - Cos C.

⇒ 

= s
Sin C = s


⇒ Cos C = 
Therefore, Cos C = r
So, Sin C - Cos C = s - r, which is OPTION C and is the right answer.
Some symbols are missing. I'm assuming you meant to put in a horseshoe symbol like so

If so, then the contrapositive of that would be

which is the final answer.
The tilde sign

means "not" so writing

means "not q" which is the complete opposite of q.
Step-by-step explanation:
The greatest common factor (GCF) is the largest common factor that the numbers share. Here, 8 is the largest common factor of 16 and 24. So the GCF of 16 and 24 is 8.