On each of the 18 cards, only one number is written: 4 or 5. the sum of the numbers on all the cards is divisible by 17. how many cards are there with a number "5"?

So number of cards with 5 written on it = 13

Step-by-step explanation:

On each of the 18 cards, only one number is written: 4 or 5. The sum of the numbers on all the cards is divisible by 17.

Let the number of cards with 5 written on it be x. Then the number of cards with 4 written on it will be (18 - x).

Sum of all numbers is divisible by 17.

Sum of numbers = 5x + 4 (18 - x) = x + 72

The multiple of 17 closest to 72 is 85.

Hence the sum of numbers = 85

x + 72 = 85

x = 13

So number of cards with 5 written on it = 13

y -5 = (-1/4)(x + 8)

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