Answer:
x = 15
Step-by-step explanation:
The right angle is formed at at the tangent line and the radius
So to solve for the missing angle we can solve for x using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
Knowing this we can create an equation to solve for x
now we solve for x
So we can conclude that x = 15
Combine like terms:
-12 + 5a - a - 6a + 8a + 8 + 3a
5a - a = 4a
4a - 6a = -2a
-2a + 8a = 6a
6a + 3a = 9a
-12 + 8 = -4
Answer
Answer:
Minimum: 3
Maximum: 13
Step-by-step explanation:
Georgia uses the equation
5 = |8 – x| to find the maximum and minimum values.
We solve the equation for x.
By the definition of the absolute value function, we must have:
We subtract 8 from both sides to get:
This simplifies to:
Therefore the minimum value is 3 and maximum is 13