Pentagon g was dilated from the origin by a scale factor of one half to create pentagon g′. which statement explains why the pentagons are similar?

Dilation preserve betweenness of points, therefore the corresponding sides of pentagon G and G' are proportional

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional ( this ratio is called the scale factor )and its corresponding angles are congruent

so

The statement that explain why the pentagons are similar is

Dilation preserve betweenness of points, therefore the corresponding sides of pentagon G and G' are proportional

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.