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Question 1) https://imgur.com/a/WcGFO

Question 2) https://imgur.com/a/r40uy

Question 3) https://imgur.com/a/yzd0e

 

Thank you

Johnnyboy  Feb 22, 2018
 #1
avatar+87333 
+2

First one

 

A tangent to a circle meets a radius at right angles

So  ABD  =  90°

 

Second one :

 

Ths is the intersecting chords theorem....specifically, we have that

 

9(n + 7)  = 18(n + 1)    divide both sides by 9

 

n + 7  =  2(n + 1)     simplify

 

n + 7  =  2n + 2   subtract n, 2  from both sides

 

n   = 5

 

Last one

 

Notice that ABC  =  180  - 47 - 48  =  85°

But ABC  would have to  = 90°   for BC to be tangent

So...the second  answer is correct

 

 

cool cool cool

CPhill  Feb 22, 2018

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