Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number
of rides she went on is 3 more than the number of games she played. Determine the
pumber of games Sydney played and the number of rides Sydney went on.
Sydney played
games and went on
rides rides.

Sidney played 5 games and rode 8 rides.

Step-by-step explanation:

Since Sydney is going to a carnival that has games and rides, and each game costs $ 1.25 and each ride costs $ 2.25. Sydney spent $ 24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played, to determine the number of games Sydney played and the number of rides Sydney went on the following calculation must be performed:

5 x 2.25 + 2 x 1.25 = 11.25 + 2.50 = 13.75

6 x 2.25 + 3 x 1.25 = 13.50 + 3.75 = 17.25

7 x 2.25 + 4 x 1.25 = 15.75 + 5 = 20.75

8 x 2.25 + 5 x 1.25 = 18 + 6.25 = 24.25

Therefore, Sidney played 5 games and rode 8 rides.

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