How many possible ways are there to fill in answers to a
quizwith five multiple choice questions when the choices are a, b,
andc?

 There are 15 possible ways to fill in answers  .

Step-by-step explanation:

Given : The number of multiple choice questions = 5

The total number of choices for each question {a, b,

and c} = 3

Now by using the fundamental principle of counting , the number of possible ways to fill in answer is given by :-

Therefore, there are 15 possible ways to fill in answers  .

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