Answer:
b = 18
Step-by-step explanation:
From an external point, the products of distances to the near circle intercept and the far circle intercept are the same. For a tangent, such as AC, point A is both the near and far intercept point, so that product is the square of the length of AC.
(AC)² = (CG)(CV)
b² = 12·27 = 324 . . . . substitute known values
b = √324 . . . . . . . . . . take the square root
b = 18
I think it's the 2 one I'm 76 percent sure
Let's create expressions and equations to model this situation. Let Anthony's age be a.
"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18
How old is Jim?
Let's solve the above equation for a to first find Anthony's age.
3a - a = 18
2a = 18
a = 9
Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.
3a
3(9)
27
Answer:
Jim is 27 years old.
Each of them need to work 105 minutes more in order to have packed the same number of boxes.
<u><em>Explanation</em></u>
Suppose, they need to work for 
minutes more in order to have packed the same number of boxes.
Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.
So, the number of boxes packed by Selma in that minutes 
and the number of boxes packed by Trudy in minutes 
Given that, Selma and Trudy have already packed 12 and 18 boxes.
Now if <u>each of them packed the same number of boxes</u>, then the equation will be......
So, each of them need to work 105 minutes more in order to have packed the same number of boxes.
Answer:
Before Tax: $240
After Tax: $259.20
Step-by-step explanation:
If we are trying to find the original price then here:
216/1.08 = 200
This took away the tax now we need to take away the discount:
200 x 1.2 = 240
Before Tax: $240
After Tax: $259.20
