Sandra swims the 100-meter freestyle for her school’s swim team. her state’s ranking system awards 3 points for first place, 2 points for second, 1 point for third, and 0 points if she does not place. her coach used her statistics from last season to design a simulation using a random number generator to predict how many points she would receive in her first race this season
integer value points awarded frequency
1 - 8 3 20
9 - 15 2 12
16 - 19 1 6
20 0 2
  what is sandra’s expected value of points awarded for a race?

the perimeter is increased by a factor of 2

honestly bro aint no one got time to answer these dumb question just do it p***y

step-by-step explanation:

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