Is segment CE tangent to circle D? Why or why not? No; Pythagorean theorem does not hold true, so it's not a right angle. Therefore the segment is not tangent by the converse of the Perpendicular Tangent Theorem.
Yes, the Pythagorean Theorem holds true, so it is a aright angle. Therefore the segment is a tangent by the converse of the Perpendicular Tangent Theorem.
Yes, this looks like a right triangle. Therefore the segment is a tangent by the converse of the perpendicular Tangent Theorem.
No; this doesn't look like a right triangle. Therefore the segment is not tangent by the converse of the Perpendicular Tangent Theorem.

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).

your answer is 125y5