Indicate the method you would use to prove the two ▲'s ≅. if no method applies, enter "none".

sss
sas
asa
aas
none

None

Step-by-step explanation:

In the given picture , there are two triangles and their corresponding angles are equal.

So by AAA similarity criteria they are similar. But there is no other information is given to prove that they are congruent.

[∵ we know that congruent are similar but similar triangles may not be congruent.]

Therefore, there is no sufficient information to prove them congruent by using any given postulate.

Hence, the answer is "None".

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).