Answer:

Step-by-step explanation:
Given:

We need to find the ∠ IMN
Solution:
Now we know that;
∠ IMN = ∠ M ( Vertically opposite angles)
Substituting the values we get;

Also We know that;
∠ JIL = ∠ KIM ( Vertically opposite angles)
Substituting the values we get;

Now adding equation 1 and equation 2 we get

Dividing both side by 4 using division property of equality we get;

Now Substituting the value of 'x' in equation 2 we get;

Hence 
Answer:
A) Amanda will pay $47.5
B) 0.5
C) $120
Step-by-step explanation:
A) From the graph given, at 45 miles, the total cost of rentage = $142.50
She now splits this cost with 2 of her friends. Thus each of them will pay;
Amount = 142.5/3 = $47.5
So,Amanda will pay $47.5
B) To find the slope, we will pick two points on the graph and use their respective coordinates to find the slope.
Coordinates we pick are;
(0, 120) and (50, 145)
Thus, slope; m = (y2 - y1)/(x2 - x1)
m = (145 - 120)/(50 - 0)
m = 25/50
m = 0.5
C) The equation for the graph will now be; y = mx + c
Where m is slope and c is y - intercept.
Thus;
y = 0.5x + 120
Coincidentally, c = 120 will be the fixed price of the truck while 0.5x will be the variable cost depending on how many miles are driven.
Thus renting for a day is simply the fixed cost of $120
A. Tree Diagram - A visual way of showing all possible outcomes
Answer:
correct choice is C ( ,∞).
Step-by-step explanation:
A set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy. In your case, the set builder notation {x l x > } means that the set consists of all elements that are greater than.
Consider number line. Plot the point as unfilled circle that goes after > sigh and shade the ray that goes from this point to the right. Then another way to represent this solution is