The values of X and Y are 30 and 11 respectively
<h3>How to determine the values of X and Y?</h3>
The figure that represents the complete question is added as an attachment
The given parameters are:
DH = X +3
HF = 3Y
GH = 2X -5
HE = 5Y
From the attached parallelogram, we have:
DH = HF
GH = HE
Substitute the known values in the above equation
X + 3 = 3Y
2X - 5 = 5Y
Make X the subject in X + 3 = 3Y
X = 3Y - 3
Substitute X = 3Y - 3 in 2X - 5 = 5Y
2(3Y - 3) - 5 = 5Y
Expand
6Y - 6 - 5 = 5Y
Evaluate the like terms
Y = 11
Substitute Y = 11 in X = 3Y - 3
X = 3*11 - 3
Evaluate
X = 30
Hence, the values of X and Y are 30 and 11 respectively
Read more about parallelograms at:
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Answer:
The correct answer is option C: (8, 14).
Step-by-step explanation:
The car's displacement in vector form can be found by subtracting the initial points from the final points.
Initial: (x₁, y₁) = (-3, -5)
Final: (x₂, y₂) = (5, 9)
For the x-coordinate, we have:

And for the y-coordinate, we have:

The car's displacement in vector form is:
Therefore, the correct answer is option C: (8, 14).
I hope it helps you!
The "mean" of a group of numbers is also called their "average".
To calculate the mean, add up all the numbers, then
divide the sum by the number of items on the list.
Step #1: Addum up: 3+7+2+9+4+7+3+7+5+2 = 49
Step #2: Count the number of items on the list: I count 10 .
Step #3: Divide the sum by the number of items on the list.
49 / 10 = 4.9
The mean (average) of the numbers on that list is 4.9 .
150=i^2
150^.5=12.2474
11^2=121
12^2=144
13^2=169
between 12 and 13, D
Answer:
8.8 is classified as a rational number because it can be written as a fraction, which would be 44/5.