Answer:
none of the above
Step-by-step explanation:
Angle 6 = angle 7 = 61⁰, as vertical angles
Angle 5 = angle 8, as vertical angles
angle 6+angle 7 + angle 5 + angle 8 =360
61+61 + angle 5 + angle 8 =360
angle 5 + angle 8 = 360 - 61*2 = 238⁰
Answer D. 238⁰
Answer:
See below
Step-by-step explanation:
a) line marked a is tangent
b) line marked b is radius
c) line marked c is diameter
d) line marked d is chord
Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
Answer: His mom's age is 48
Step-by-step explanation: If his age is 1/4 his mother, then if we know his age, we do the opposite. Multiply his age by 4, we get 48.