The image of polygon mnop after transformation is polygon wxyz. note that both figures are similar. each side of mnop is 2 times as long as the corresponding side of wxyz. what is the scale factor of the dilation in the similarity transformation?

0.5

Step-by-step explanation:

Given: The image of polygon MNOP after transformation is polygon WXYZ.

let x be any side length of polygon MNOP and y be the side length of polygon WXYZ.

We know that for dilation with scale factor k, the side length of the figure image is k times the side length of the given figure.

Thus, y=kx..........(1)

Since, each side of MNOP is 2 times as long as the corresponding side of WXYZ.

Then .........(2)

Therefore, k=0.5 [from (1) and (2)]

Hence, the scale factor of the dilation in the similarity transformation= 0.5

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

5.25 ounces

step-by-step explanation:

divided 3/4 and 6