The slope of CD is
![m = \dfrac{6 - -4}{2 - 0} = 5](https://tex.z-dn.net/?f=m%20%3D%20%5Cdfrac%7B6%20-%20-4%7D%7B2%20-%200%7D%20%3D%205)
The slope of the perpendicular bisector is the negative reciprocal,
![n = -1/m = - \dfrac 1 5](https://tex.z-dn.net/?f=n%20%3D%20-1%2Fm%20%3D%20-%20%5Cdfrac%201%205)
The perpendicular bisector passes through M, the midpoint of CD
M =( (0+2)/2, (-4 + 6)/2) = (1, -1)
So point slope form for the perpendicular bisector is
![y - -1 = - \frac 1 5(x - 1)](https://tex.z-dn.net/?f=y%20-%20-1%20%3D%20-%20%5Cfrac%201%205%28x%20-%201%29)
Solving for y gives slope intercept form.
![y = - \frac 1 5 x - \frac 4 5](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%201%205%20x%20-%20%5Cfrac%204%205)
Not sure how to type that without spaces; we didn't have online homework back then.
Answer: y=(-1/5)x-4/5
The reflection across x = -2 will be x = 2.
Answer:
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Step-by-step explanation:
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Since the given figure is a trapezoid, here is how we are going to find for the value of x. Firstly, the sum of the bases of the trapezoid is always equal to twice of the median. So it would look like this. 2M = A + B.
Plug in the given values above.
2M = (<span>3x+1) + (7x+1)
2(10) = 10x + 2
20 = 10x + 2
20 - 2 = 10x
18 = 10x < divide both sides by 10 and we get,
1.8 = x
Therefore, the value of x in the given trapezoid is 1.8. Hope this is the answer that you are looking for.
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C is the answer. Adding all the "x" values would give 0, therefore, no solution