Answer:
16 square cm
Step-by-step explanation:
2 * 8 (8 per one cm) is 16
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:
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The value of the composite function is (f/g)(5)= 26
<h3>How to evaluate the
composite function?</h3>
The functions are given as:
f(x) = x^2+1 and g(x) = x-4
To calculate the composite function, we use the following formula
(f/g)(x)= f(x)/g(x)
So, we have:
(f/g)(5)= f(5)/g(5)
Calculate f(5) and g(5)
f(5) = 5^2+1 and g(5) = 5-4
This gives
f(5) = 26 and g(5) = 1
Substitute f(5) = 26 and g(5) = 1 in (f/g)(5)= f(5)/g(5)
(f/g)(5)= 26/1
Evaluate
(f/g)(5)= 26
Hence, the value of the composite function is (f/g)(5)= 26
Read more about composite function at
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In order to find the lenght of the triangles you may use the next formula
<span>A(x1 , y1) , B(x2 , y2) </span>
<span>AB = sqrt[(x1-x2)^2+(y1-y2)^2]
</span>Still I have to say that the triangle you are describing is definitely Isosceles
I hope this works for you