Answer:
Step-by-step explanation:
<u>A and B are same side interior angles and hence supplementary:</u>
<u>Substitute values and solve for x:</u>
- 6x - 18 + 14x + 38 = 180
- 20x + 20 = 180
- 20x = 160
- x = 160/20
- x = 8
<u>Find the measure of ∠A:</u>
The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
<h3>
How to write a piecewise function?</h3>
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
- c(x) = $3.75*x + $5 if x < 6
- c(x) = $3.25*x + $5 if x ≥ 6.
Where the cost per box changes for x equal or larger than 6.
If you want to learn more about piecewise functions, you can read:
brainly.com/question/3628123
We are going to denote the number of additional minutes with
, and the total cost of the call with
.
From PONCO, we know that they charge $1.25 for the first minute, and $0.30 for each additional minute; knowing that our additional minute is
and our total cost of the call is
, we can set up an equation to relate the values:
we are going to call this equation (1)
From CowBell, we know that they charge 1.40 for the first minute, and $0.25 for each additional minute. so just like before we can set up an equation to relate the values:
We are going to call this equation (2)
Since the total cost
of equations (1) and (2) is the same, we can equate them to find
:
We can conclude that after 3 additional minutes the cost of the calls will be the same; therefore, the correct answer is
B.
<span><span>Yes, it meets the requirements. 1/12 simplifies to 0.0833 and 4/50 simplifies to .08. .</span>413398#respond</span>