At one time the student-to-faculty ratio at centennial academy was 17 : 3 . the total number of students and faculty was 740. how many faculty members were there? how many students were there?

The number of faculty was 3/(17+3) = 3/20 of the total of students and faculty.

The number of faculty members was (3/20)·740 = 111.

The number of students was 740 - 111 = 629.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

yes.. it's proven to be 36.