Answer:
Yes, parallelogram OABC is a rectangle.
Step-by-step explanation:
The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).
A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.
product of slopes of two perpendicular lines is -1.
Formula for slope is
Using the formula we get
It means OA is perpendicular to AB.
Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.
Answer: 80
Step-by-step explanation:

Hope it helps <3
Answer:
59
Step-by-step explanation:
To find f(3), substitute 3 for x:

Answer:
8 hours
Step-by-step explanation:
because each hour that goes by the buses go a distance of 117 miles apart from each other (53+64) you must divide the total distance by the 117 mph distance for a total of 8 hours (936 / 117 = 8)
Answer:
x=19.88
Step-by-step explanation:
Okay, let's try and create a "table" of what we know, and what we are looking for.
4.5 litres of milk cost 89.5 rupees
1 litre costs x rupees
Obviously, we are looking for x.
The method I'm about to tell you, might be familiar. Imagine that there was a giant X where the words cost and costs are above. There'd be a line connecting 4.5 litres of milk with the rupees we are looking for, and another line connecting 1 litre with the 89.5 rupees.
If we were to form an equation to solve for x, we'd put the connecting terms together, with an "=" between them, so we'd have this:
4.5*x=1*89.5
That's our equation, so let's solve for x.
x=89.5/4.5 => x=19.88 , let's say 20 rupees