Mia enlarged a plan for an outdoor stage. the original plan is shown below. she dilated the outdoor stage by a scale factor of 4 with the center of dilation at the origin. which ordered pair will be the coordinates of one of the new vertices? a (2,1) b (8,16) c (32,4) d (32,16)

Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.

In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.

D (32,16)

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please see the attached photo.

In the photo, the four vertices are:

(-5,4)  by a scale factor of 4 (-20, 16)

(8, 4)  by a scale factor of 4 (32, 16)

(-6, -2)  by a scale factor of 4 (-24, -8)

(8, -2)   by a scale factor of 4 (31, -8)

So only D is correct.

Hope it will find you well.

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle