It took margie 2 1/4hours to write a 1 1/2 page research paper . what was her hourly writing rate

Margie would take 1 hour and 30 minutes to write 1 page of her research paper. Think of it like a proportion:

2.25/ 1.5 = x/1

2.25 is the 2 1/4 converted which is the amount of hours she took.

1.5 is the 1 1/2 converted which are the amount of pages she wrote total.

1 on the right side of the proportion represents  1 page.

And x are the amount of hours used  to write 1 page.

And in solving that proportion  it would result in 1.5 or 1hr. and 30 min.

what shape is

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.