Based on the diagram, which is a true statement? if a student plays in the band, then he/she is an honor student. if a student is an honor student, then he/she plays in the band. if a student is not an honor student, then he/she cannot play in the band. if a student is an honor student, then he/she may also be a band member. the answer is d.

mathpapa

step-by-step explanation:

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.

the answer is 25 because they're both the same