If rectangle abcd was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point a' lie? rectangle formed by ordered pairs a at negative 4, 1, b at negative 4, 2, c at negative 1, 2, d at negative 1, 1. a (1, −1) b (1, 1) c (−4, −1) d (−4, 1)

  d. (−4, 1)

Step-by-step explanation:

The rule of reflection across y axis is given by :-

The rule of reflection across x axis is given by :-

The rule of rotation of 180° is given by :-

Given point A : (-4,1)

After reflection across y-axis the image of A becomes :-

After reflection across x-axis the image of point (4,1) becomes :-

After rotation of 180° the image of point (4,-1) becomes :-

Hence, the point A' lies at (-4,1) .

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.