If n(p)=20, n(Q)=30 and n (PUQ)=40
then
find the value of n(PnQ)

n(PnQ) = 10

Step-by-step explanation:

n(PUQ) = n(P) + n(Q) - n(PnQ)

40 = 20 + 30 - n(PnQ)

40 - 50 = -n(PnQ)

-10 = - n(PnQ)

n(PnQ) = 10

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).