Spencer is making 25 sundaes with mint, chocolate, and vanilla ice cream. 1 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

v = 20 Sundaes

Step-by-step explanation:

Total number of sundaes = 25

Let the number of mint = m = 1/5 of total

= 1/5 of 25 = 1/5 × 25 = 5

∴ m = 5

Remainder = 25 - 5 = 20 Sundaes

let the number of chocolate = c = 1/2 of the remainder

1/2 of remainder = 1/2 of 20 = 20 ÷ 2 = 10 sundaes

∴ c = 10

let the number of vanilla = v

Therefore, finding v

25 = m + c + v

25 = 5 + 10 + v

25 = 15 + v

25 - 15 = v

v = 20 Sundaes

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