The sum of two numbers is 95. if the larger number is increased by twice the smaller number, the result is 120. what is the larger number? if x = the smaller number and y = the larger number, then which of the following systems of equations represents the word problem? x + y = 95 and x + 2y = 120 x + y = 95 and 2x + y = 120 x + y = 95 and 2(x + y) = 120

The answer is x + y = 95 and 2x + y = 120

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