Answer:
Given equation: 
when we complete the square , we take half of the value of 8 , then square it, and added to the left sides, we get;

∵8 is the value 
Notice that, we add this both sides so that it maintains the equality.
then;

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Simplify:

The number must be added to complete the square is, 
The first answer is B: 2 1/2
4 5/6 is put there twice except the last one is subtracting so you can put, 4 5/6 - 4 5/6 = 0 therefore the only number left is 2 1/2
the second one I really don't know sorry:(
The third answer is C because the cases come in 24. But they didn't tell you how many case she brought so the variable has to be by 24 and they took 43 which is the subtracting factor. So the answer is C.
And I also don't know the last one again sorry:(
Step-by-step explanation:
this is my answer...sorry if I made any mistake