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 #1
avatar
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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)cool

 Sep 22, 2020
 #2
avatar+111127 
+1

I get the same answer,  7 and a third

 

22/3

 

I just said  6/44 = 1/OA

 Sep 22, 2020
edited by Melody  Sep 22, 2020

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