A conjecture and the flowchart proof used to prove the conjecture are shown.
1 answer:
The required proof of parallelogram is given below,
What is parallelogram?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. The opposing or confronting sides and the opposing angles in a parallelogram are of equal length.
For a parallelogram, opposite sides are always equal and parallel.
So for the given parallelogram, we get AD = BC and AD and BC are parallel.
AD and BC is parallel and DC is common side, therefore, ......(1)
Given .......(2)
Therefore, from condition (1) and (2), we get
If then DC bisects the angle
. [Proved]
To learn more about parallelogram from the given link
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Answer:
a) DNE
b) The function increases for every real value of x.
c) DNE
Step-by-step explanation:
Given a function f(x), the critical points are those in which , that is, the roots of the first derivative of f(x).
Those critical points let us find the intervals in which the function increases or decreases. If the first derivative in the interval is positive, the function increases in the interval. If it is negative, the function decreases.
If the function increases before a critical point and then, as it passes the critical point, it starts to decrease, we have that the critical point
(a) Find the critical numbers of f.
7 = 0 is false. This means that f has no critical points.
(b) Find the open intervals on which the function is increasing or decreasing.
Since there are no critical points, we know that either the function increases or decreases in the entire real interval.
We have a first order function in the following format:
In which .
So the function increases for every real value of x.
(c) Apply the First Derivative Test to identify the relative extremum.
From a), we find that there are no critical numbers. So DNE