All of the following represent the same function except . y = x - 1
{(0, 1), (2, 3), (4, 5), (7, 8)}

x y
1 0
3 2
5 4
8 7

{(0, 1), (2, 3), (4, 5), (7, 8)}

Step-by-step explanation:

For the function:  y = x - 1    (y is one less than x)

If x =1 , y= 0

if x= 3 . y= 2

If x = 5 , y= 4

If x= 8 , y= 7

So it is same as

x y

1 0

3 2

5 4

8 7

But different from {(0, 1), (2, 3), (4, 5), (7, 8)} [here x is 1 less than y]

So,  the complete statement would be : All of the following represent the same function except {(0, 1), (2, 3), (4, 5), (7, 8)} .

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

you'll have to attache the image of the bar graph in order for us to answer : )

step-by-step explanation: