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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Answer:
X=375 hours
Step-by-step explanation:
Answer:
3.14 thousand dollars
Step-by-step explanation:
Standard deviation is the average distance of your data values from the mean (basically, how far off you were from the center). We calculate standard deviation or σ by taking each value, subtracting it from the mean, squaring it, then dividing by the mean.
First, we need to find the mean, which is the sum of all values / number of values.
5 + 6 + 5 + 10 + 9 = 35 / 5 = 7
Take the absolute value of the difference of each value from 7:
5 - 7 = 2
6 - 7 = 1
5 - 7 = 2
10 - 7 = 3
9 - 7 = 2
Square each of these values and add them together:
2^2 + 1^2 + 2^2 + 3^2 + 2^2 = 22
Divide the sum by the mean:
22 / 7 = 3.14
<u>The standard deviation is 3.14 thousand dollars.</u>
Answer:
yes it is
Step-by-step explanation:
Answer: 200 divided by 4 times 5
Step-by-step explanation: put 200 over 4 as a fraction and when you get you answer then multiply you answer by 5
