Figure ABCD is a parallelogram. Points X and Y are placed so that BX ≅ DY and CD ⊥ XY.
1 answer:
A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.
<h3>What is a parallelogram?</h3>A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram, the opposite sides are equal and parallel to each other. We can write,
AD ≅ BC
Since BX ≅ DY, therefore, we can write,
AB = CD
AX + XB = DY + YC
XB = DY, cancelling both the sides,
AX = YC.
Also, XY is the common side.
Since all the sides are equal also the angle are equal, therefore, it can be written,
AXDY ≅ CYXB
Given the area of CYXB is 71.5 square units. Therefore,
ABCD = CYXB + AXDY
ABCD = 2(CYXB)
ABCD = 143 square units.
Hence, the correct option is D.
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Answer:
The intercepts of the third degree polynomial corresponds to the zeros of the equation
y = d*(x-a)*(x-b)(x-c)
Where a, b and c are the roots of the polynomial and d an adjustment coefficient.
y = d*(x+2)*(x)*(x-3)
Lets assume d = 1, and we get
y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x
We graph the equation in the attached file.
<h2>Hello!</h2>
The answer is:
The sixth option,
[-6,6]
<h2>Why?</h2>To solve the problem, we need to find which of the given options match with the solution to the inequality. As we know, solving inequalities is almost the same that solving equalities, we need to isolate the variable and then, find where it satisfies the given condition (inequality)
So, solving the inequality we have:
Therefore, we have that the solutions to the inequality are:
First solution:
Second solution:
Hence, the correct option is the sixth option, the solution is described by the following solution set :
[-6,6]
Have a nice day!