Answer:
Step-by-step explanation:
Given
Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints
Open bracket
Next, determine the slope of the given endpoints.
Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:
In this case:
So:
Since the slope is 
, the equation is:
Where:
Recall that:
So:
Hence, the equation is:
The regular hexagon has both reflection symmetry and rotation symmetry.
Reflection symmetry is present when a figure has one or more lines of symmetry. A regular hexagon has 6 lines of symmetry. It has a 6-fold rotation axis.
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Rotation symmetry is present when a figure can be rotated (less than 360°) and still look the same as before it was rotated. The center of rotation is a point a figure is rotated around such that the rotation symmetry holds. A regular hexagon can be rotated 6 times at an angle of 60°
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Answer:
The price of the computer is $1,152
Step-by-step explanation:
Let the price of the computer be $x
The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8
The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48
Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696
Mathematically, this can be represented as;
7x/8 + 35x/48 = x + 696
(42x + 35x)/48 = (x + 696)
77x/48 = (x + 696)
77x = 48(x + 696)
77x = 48x + 33408
77x - 48x = 33408
29x = 33, 408
x = 33,408/29
x = $1,152
Answer D.
Insert (2, 2) in for x and y in the equations.
2(2)+ 3(2) = ?
? = 10
4(2) + 5(2) = ?
? = 18
