Sophia started with 25 pieces of gum and gave away x pieces. maria started with 75 pieces of gum and gave away twice as many. how many pieces of gum did sophie gave away if they had the same number of pieces of gum left

x = 50

Step-by-step explanation:

Pieces of gum given by Sophia = x

Pieces of gum left with Sophia after giving x pieces = 25 - x

Pieces of gum given by Maria = 2 × Gums given by Sophia = 2x

Pieces of gum left with Maria after giving 2x pieces = 75 - 2x

Pieces of gum left with Sophia = Pieces of gum left with Maria

25 - x = 75 - 2x

2x - x = 75 - 25

x = 50

Pieces of gum left with Sophia is 50.

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