Suppose there are n people in a group, each aware of a scandal no one else in the group knows about. these people communicate by telephone; when two people in the group talk, they share information about all scandals each knows about. for example, on the first call, two people share information, so by the end of the call, each of these people knows about two scandals. the gossip problem asks for g(n), the minimum number of telephone calls that are needed for all n people to learn about all the scandals. use mathematical induction to prove that g(n)< =2n-4 forn> =4.[hint: in the inductive step, have a new person call a particularperson at the start and at the end.]

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

step-by-step explanation:

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5