Find the variables and lengths of the sides of this kite.
{top left is y-4, top right is x+5, bottom left is 2x+5, and bottom right is x+12}
Thank you (:
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To find the variables and lengths of the sides of the kite, we will first identify the four sides of the kite and then find the lengths of each side.
The given information about the kite is as follows:
- Top left vertex: y - 4
- Top right vertex: x + 5
- Bottom left vertex: 2x + 5
- Bottom right vertex: x + 12
Now, let's find the lengths of each side of the kite:
1. Top side:
The length of the top side can be found by subtracting the x-coordinates of the top left and top right vertices. So, the length of the top side is (x + 5) - (y - 4) = x + 5 - y + 4 = x - y + 9.
2. Left side:
The length of the left side can be found by subtracting the y-coordinates of the top left and bottom left vertices. So, the length of the left side is (2x + 5) - (y - 4) = 2x + 5 - y + 4 = 2x - y + 9.
3. Bottom side:
The length of the bottom side can be found by subtracting the x-coordinates of the bottom left and bottom right vertices. So, the length of the bottom side is (x + 12) - (2x + 5) = x + 12 - 2x - 5 = -x + 7.
4. Right side:
The length of the right side can be found by subtracting the y-coordinates of the top right and bottom right vertices. So, the length of the right side is (x + 12) - (x + 5) = x + 12 - x - 5 = 7.
Therefore, the lengths of the sides of the kite are:
- Top side: x - y + 9
- Left side: 2x - y + 9
- Bottom side: -x + 7
- Right side: 7
Please note that the variables used are x and y, but their values are not given, so the lengths of the sides will be expressed in terms of x and y.