Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
Sad to say it is likely D. If you are in the United States, I wouldn't know what deductions are available, but here are some possibilities.
1. Gladys is a single Mom. She gets to deduct her child.
2. Gladys owns her own home and gets to deduct her municipal tax. Michelle is renting and may be able to deduct something but not as much.
3. Gladys gets to deduct medical expenses. Michelle does not.
4. Gladys has a travelling allowance that is deductible. Michelle does not.
5. Gladys goes to church and tithes. Michelle does not.
6. Gladys has a registered savings plan. Michelle does not.
The problem is that the two women might very well be in a different tax bracket when all the deductions are considered. That depends on how the US system works. I don't think you are supposed to choose A. All other things being equal, they should be in the same tax bracket.
I don't see how B would come about. Usually state is dependent on Federal (it is in Canada anyway).
C is definitely wrong unless the savings plan is registered. Any savings plan that produces dividends or interest that is not registered is taxable.
Answer:
Total length of string required in yards 
yards
Step-by-step explanation:
The length of the string attached with each balloon is equal to 
feet
In the party total number of balloon used is equal to 
balloons
The total length of the string required
Length of string used in one balloon * total number of balloons
feet
1 feet is equal to 13 yards
Total length of string required in yards 
yards
