Is Figure A’B’C’D a reflection of figure ABCD ? A: yes it is a reflection over the x-axis. B: yes it is a reflection over the y-axis. C: yes it is a reflection over line f. D: no it is not a reflection

C- Yes; it's a reflection over the line f.

Step-by-step explanation:

(only read if you're unsure)

if you count the distance from D to the line f, it's 1, same for when you count how far away D' is from the line f. same for C,B,A and C',B',A'. why does this matter? because it shows that they're both the same from the line, and if they're the same, it's because it's a reflection.

Process of elimination: Not A because we're reflecting across the line f (the diagonal line), not the x axis and this applies the same with the y axis (B). and finally, it's not D because as we've already proved, it IS a reflection.

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.