I need help with the same problem and the guest got the answer wrong

1. Point B is the image of point A under a dilation with center O and scale factor 7. If AB = 44, then what is OA?

O---------A----------------------------------------------------------------B

               <--------------------------- 44 ------------------------------->

For a scale factor of 7, we have OB = 7·OA; that is, OB is 7 times longer than OA. The Segment Addition Postulate tells us that OB = OA + AB, so:

OB = 7·OA

OA + AB = 7·OA

Since AB = 44:

OA + 44 = 7·OA

OA = 7.3333

( I found this answer on the web)

I get the same answer,  7 and a third

22/3

I just said  6/44 = 1/OA