If p is true and q is false, the p-> gis
true.

Therefore If p is true and q is false, the p → q is False.

Step-by-step explanation:

' → ' is Conditional or Implication sign

It is the symbol for the connective phrase' Ifthen '

If 'p' and 'q' are statements then " p→q " it read as p implies q

The Truth Table for Implication is below

p             q          p→q

True    True       True

True    False      False

False   True       True

False    False      True

Therefore If p is true and q is false, the p → q is False.

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).

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation: