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]
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Step-by-step explanation:
The value of L4 and R4 over [0,7] for the function f(x) = 6x² will be 2[2√0 + 2√2 + 2√4 + 2√6] and 2[2√2 + 2√4 + 2√6 + 2√8] respectively.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is,
I'm assuming that you mean the left and right Riemann sums with four equal subintervals when you refer to L4 and R4.
If so, then Δx = (8-0)/4 = 2, and f(x) = 2√x.
L4 = f(0)Δx + f(2)Δx + f(4)Δx + f(6)Δx
L4 =2[2√0 + 2√2 + 2√4 + 2√6]
R4 = 2[2√2 + 2√4 + 2√6 + 2√8]
Thus, the value of L4 and R4 over [0,7] for the function f(x) = 6x² will be 2[2√0 + 2√2 + 2√4 + 2√6] and 2[2√2 + 2√4 + 2√6 + 2√8] respectively.
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