Michael and Derrick each completed a separate proof to show that corresponding angles AKG and ELK are congruent. Who completed the proof incorrectly? Explain.

see below

Step-by-step explanation:

Michael is incorrect

AKG and AKL are not vertical angles

Michael

Step-by-step explanation:

Angles AKG and BKL are vertically opposite angles.

Angles AKG and AKL are supplementary angles, not vertically opposite angles.

Therefore, Derrick's proof is correct. Michael's is incorrect

idk

step-by-step explanation:

use that smart brain

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).