. The math department chairwoman has to select one math teacher to accompany her to a math conference in Las Vegas, which she's very excited about. Which of the following is a fair method for selecting the teacher to go with her on the trip?

A. Select the teacher who grew up near Las Vegas.
B. Ask the math department teachers to vote on who gets to go.
C. Select the teacher who has been in the department the most number of years.
D. Assign a number to each teacher who would like to go and draw a number from a bag.

step-by-step explanation:

sorry but i cant draw that

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.