Are quadrilaterals ABCD and EFGH similar? A - No, quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.
B - Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 3, y + 3) and a dilation by the scale factor of 2 from point A′ map quadrilateral ABCD onto EFGH.
C - No, quadrilaterals ABCD and EFGH are not similar because their corresponding angles are not congruent.
D - Yes, quadrilaterals ABCD and EFGH are similar because a translation of (x + 2, y + 2) and a dilation by the scale factor of 2 from point D′ map quadrilateral ABCD onto EFGH.

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation:

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.