If p is true and q is true, then ~ p ~ q is true.
Always, Sometimes, Never

p           q              ~p                ~ q             ~ p ~ q

T            T              F                  F                  F

Thus. If p is true and q is true, then ~ p ~ q is NEVER true.

Step-by-step explanation:

We know that '~' takes the truth value of the original statement then output the exact opposite of its truth.

Given that

Let us check what would be the output of ~ p ~ q

Let us form the tabel

p           q              ~p                ~ q             ~ p ~ q

T            T              F                  F                  F

Thus. If p is true and q is true, then ~ p ~ q is NEVER true.

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).