You can use the Pythagorean Theorem:
a^2+b^2=c^2
x^2+x^2=(7√2)^2
2x^2=49*2 (combine like terms and square the 7√2)
x^2=49 (divide both sides by 2)
x=7 (square root both sides)
So the equation is 2x^2=98 (simplest form) and x=7
Hope this helps
Volume = 3.14xradius squared x height so it’s 3.14 x 6x6 x8 = 904.32
Answer: the answer is 6.876
Answer:
Center = (4, -5)
radius = 6
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Explanation:
The general template of any circle is
(x-h)^2 + (y-k)^2 = r^2
Rewrite the given equation into this form
(x-4)^2 + (y- (-5))^2 = 6^2
We can see that (h,k) = (4,-5) is the center and r = 6 is the radius.
The value of the x and y is 12 and -10 respectively, and the provided figure is a parallelogram because the diagonals bisect each other.
<h3>What is parallelogram?</h3>
In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
As we know in the parallelogram, the diagonals bisect each other.
Then,
432 = 3x²
x² = 144
x = √144
x = 12
In the parallelogram, the adjacent opposite angles are the same.
∠C+∠B = 240°
= 360 - 240
∠A + ∠D = 120°
∠A = ∠D = 120°/2 = 60
∠D/2 = 60/2 = 3y + 60
3y + 60 = 30
3y = -30
y = -10
From the definition of the parallelogram, the provided figure is a parallelogram.
Thus, the value of the x and y is 12 and -10 respectively and the provided figure is a parallelogram because the diagonals bisect each other.
Learn more about the parallelogram here:
brainly.com/question/1563728
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