In both cases,

(as a consequence of the interesecting secant-tangent theorem)
So we have
10.





(omit the negative solution because that would make at least one of AB or AD have negative length)
11.




(again, omit the solutions that would give a negative length for either AB or AD)
Alexis and 3 friends buy:
-Pretzel $4.
-Sauce $1
-Drink $2
First we would multiply all the food prices by 4, since there is 4 people in total.
4 x 4 = $16
1 x 4 = $4
2 x 4 = $8
Now we're adding all the prices together.
16 + 4 + 8 = $28
At this point, we're going to make the expression, using all the steps that we did.
( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
We used parenthesis to show that those expressions need to be done first before anything else.
This is how we make an expression and we find the total answer.
The expression would be: ( 4 x 4 ) + ( 1 x 4 ) + ( 2 x 4 )
The total cost would be: $28
Hope this helps!~
1.) 0
2.) -2
3.) -3
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