Dilation d subscript v, two-fifths was performed on a rectangle. how does the image relate to the pre-image? select three options. the image is a reduction because 0 < n < 1. the side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. the angles of the image are two-fifths the size of the angles of the pre-image. the center of dilation is at point q. the base of the image is two-fifths the size of the base of the pre-image.

The selected options:  1 , 2 and 5

Step-by-step explanation:

Dilation 2/5  was done on a rectangle, and the center of dilation is V

We will check which of the options is true:

Option 1: The image is a reduction because 0 < n < 1  (True)

Because 2/5 = 0.4 < 1, so, the image will be smaller than the pre-image.

Option 2: The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image.   (True)

Because pre-image and image are similar so their sides will be proportional, so the pre-image is 2/5 of the image.

Option 3: The angles of the image are two-fifths the size of the angles of the pre-image.  (Wrong)

Because the angles of similar rectangles are congruent not proportional.

Option 4: The center of dilation is at point Q.   (Wrong)

Because the center of dilation is V.

Option 5: The base of the image is two-fifths the size of the base of the pre-image.    (True) same explanation of option 2

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

i think 5 miles per hour

step-by-step explanation: