Square efgh has been reflected across the x axis and then reflected across the y axis which of the following transformations would return the square to its original position

c . reflection about x and then reflection about y axis.

Step-by-step explanation:

If we rotate the square again at an angle of 180 degrees it will return the square to its original position.

for example we just do this test

Pick a corner of the square, lets say  (x,y)

first ,we relflected the square about x axis  (-x, y)

then we reflected it about  y axis,which gives us  (-x, -y)  

To return it back to the original position we do this:

180 degree rotation:  ( - (-x)  , -  (-y) ) = (x,y)

It confirms that option C is the answer.

$9.41

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.