What is the scale factor of the dilation?

The scale factor of the dilation is .

Step-by-step explanation:

From the given figure it is clear that the vertices of figure DEFG are D(4,8), E(8,8), F(8,6), G(4,6).

The vertices of image D'E'F'G' are D'(2,4), E'(4,4), F'(4,3), G'(2,3).

From the figure it is clear that DF=4 units and D'F'=2 units.

The scale factor is proportion of corresponding sides of image and preimage.

k=(D'F')/(DF)

Substitute DF=4 units and D'F'=2 units.

k=(2)/(4)

k =

Therefore the scale factor of the dilation is .

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this