The length of the AC is x^2 + 4x - 12.
<h3>What is a parallelogram?</h3>
That 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.
Given :
In Parallelogram ABCD, diagonals AC and BD intersect at point E.
such that
AE = x^2 - 12,
CE = 4x
We know that the diagonal of a parallelogram bisect each other.
x^2 - 12 = 4x
x^2 - 4x - 12= 0
(x-6)(x-2) = 0
Hence, the value of x = 6, 2.
AC = AE + CE = x^2 + 4x - 12.
The length of the AC is x^2 + 4x - 12.
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Answer:
250 Hamburgers
Step-by-step explanation:
575 is total
Hamburger is x
Cheesburgers is (x-75) as it is 75 less than the number of hamburgers
x + (x-75) = 575
2x -75 = 575
2x = 500
x = 250
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The campaign manager is correct since other favorable events could have boosted Stegall's popularity after those speeches.
i just did the usa testprep thats the right answer
The image of (-1, 0) after a reflection over the line y = -x is (0, 1).
<h3>What is a transformation?</h3>
In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a final (new) location. This ultimately implies that, when an object is transformed, all of its points would be transformed as well.
<h3>The types of transformation.</h3>
Generally, there are different types of transformation and these include the following:
- Reflection
- Rotation
- Translation
- Dilation
<h3>What is a reflection?</h3>
A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.
In Geometry, a reflection over the y-axis is given by this rule (x, y) → (-x, y). Thus, line y = -x would become:
(-1, 0) → (0, 1).
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What evidence is there of war crimes according to former U.S. Ambassador, Clint Williamson?