Answer:
Step-by-step explanation:
The Law of Cosines is given as:
.
Plugging in given values, we get:
.
A place from this table is chosen at random. Let event A = The place is a city.
1 answer:
Answer:
Final answer is
Step-by-step explanation:
We have been given a table containing a list of few places that are either city or in North America.
Total number of places in that list = 7
That means sample space has 7 possible events.
Given that a place from this table is chosen at random. Let event A = The place is a city.
Now we need to find about what is .
That means find find the probability that chosen place is not a city.
there are 3 places in the list which are not city.
Hence favorable number of events = 3
Then required probability is given by favorable/total events.
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Answer:
because they are opposite sides of a parallelogram.
Step-by-step explanation:
First of all, let us have a look at the definition of a parallelogram.
<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>
<em></em>
For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.
The two pair of lines are:
AB, DC and BC, AD
For ABCD to be a parallelogram, the lines
AB and DC must be parallel to each other and AB = DC
AND
BC and AD must be parallel to each other and BC = DA
------------------------------
In the given question, we are given that the quadrilateral MNOP is a parallelogram.
The two pairs opposite lines are OP, NM and PM, ON.
As per the definition of a parallelogram,
OP and NM must be <em>parallel and equal </em>to each other.
AND
PM and ON must be <em>parallel and equal </em>to each other.
.
Hence proved.
