Which expression is equal to 53462÷14 3818×14×103810×14×123810×14+123818×14+10
2 answers:
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The missing aspect of this question is shown in the attached image, which is that the letters correspond to vertices of a parallelogram.
A key feature of the parallelogram is that the diagonals bisect each other, therefore:
PT = TR
QT = TS
With this information we can now plug in the equations and solve for the variables x and y.
PT = TR
2x = y+4
y = 2x - 4
QT = TS
x + 2 = y
We now have two equations for the variable y. With this we can solve for x.
2x - 4 = x + 2
x = 6
y = x + 2
y = 6 + 2
y = 8
Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are x = 6, y = 8.
A key feature of the parallelogram is that the diagonals bisect each other, therefore:
PT = TR
QT = TS
With this information we can now plug in the equations and solve for the variables x and y.
PT = TR
2x = y+4
y = 2x - 4
QT = TS
x + 2 = y
We now have two equations for the variable y. With this we can solve for x.
2x - 4 = x + 2
x = 6
y = x + 2
y = 6 + 2
y = 8
Once we solved for the variable x, we simply placed that value back into one of the previous equations and solved for y. The results are x = 6, y = 8.
ANSWER
C) 5.1 units
EXPLANATION
The coordinates of A are (5,2).
If this point is translated 1 unit to the left and 5 units down to create point A'.
Then A' has coordinates
The distance between A and A' is calculated using the distance formula,
We round to the nearest tenth to obtain,
The measurement that is closed to the distance is 5.1 units
C) 5.1 units
EXPLANATION
The coordinates of A are (5,2).
If this point is translated 1 unit to the left and 5 units down to create point A'.
Then A' has coordinates
The distance between A and A' is calculated using the distance formula,
We round to the nearest tenth to obtain,
The measurement that is closed to the distance is 5.1 units