Lines l and m are parallel because same-side interior angles are supplementary
From the question, we are to determine the lines we can conclude are parallel
From the given information, we have that
m ∠3 + m ∠4 = 180°
That is,
The measure of angle 3 and the measure of angle 4 are supplementary.
In the diagram,
We can observe that ∠3 and ∠4 are same-side interior angles
NOTE: If interior angles on the same side of the transversal sum to 180, then lines are parallel.
Hence,
Due to the fact that same-side interior angles are supplementary, lines l and m are parallel
Learn more on Parallel lines postulates here: brainly.com/question/9602013
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Answer:
The required expression for total cost: 
The cost for renting car for 2 days and driving 70 miles is $51.88
Step-by-step explanation:
Consider the table shown below which repented the required options.
Car Rental Prices
:
Option 1 Option 2
$19.99 per day $50 fee
$0.17 per mi $0.17
Let d represents the number of days and m represents the number of miles.
you rent a car using option 1, For d days and m miles.
The required expression for total cost:
Find the cost for renting car for 2 days and driving 70 miles
Substitute d=2 and m=70 in above expression.
Hence, the cost for renting car for 2 days and driving 70 miles is $51.88
<h3>
Answer:</h3>
- d. The y-intercept is 1 space higher.
- a. 9 to the power of -1/2
<h3>
Step-by-step explanation:</h3>
1. Changing f(x) to f(x) + 1 adds 1 to every output value of the function, moving that value "1 space higher". This is true for the y-intercept, too.
___
2. The rules of exponents apply:
- a^b · a^c = a^(b+c)
- 1/a^b = a^-b
You apparently want to simplify ...
... 9^(1/4) × 9^(1/2) / 9^(5/4)
... = 9^(1/4 + 1/2 - 5/4)
... = 9^((1+2-5)/4)
... = 9^(-2/4) = 9^(-1/2)
This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:
45 * 3 = 132 + (12 * 3) Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168
Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:
45 * 3 = 132 + (12 * 3) Now, let's turn all the 3s into cs.
45c = 132 + 12c Then, using algebra, we can solve this equation.
-12c - 12c
33c = 132
33c/33 = 132/33
c = 4
And finally, we have our answer, B! I hope both methods help you in your further studies.
