<h2>
Answer:</h2>
D.
<h2>
Step-by-step explanation:</h2>
The representation of this problem is shown below. To find the answer, we need to use the distance formula:
- The first diagonal is formed by the points A and C
- The second diagonal is formed by the points B and D
So, for the first diagonal:
![A(x_{1},y_{1})=A(-1,10) \\ \\ C(x_{2},y_{2})=C(1,8) \\ \\ \\ d_{1}=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\ \\ d_{1}=\sqrt{[1-(-1)]^2+(8-10)^2}=2\sqrt{2}](https://tex.z-dn.net/?f=A%28x_%7B1%7D%2Cy_%7B1%7D%29%3DA%28-1%2C10%29%20%5C%5C%20%5C%5C%20C%28x_%7B2%7D%2Cy_%7B2%7D%29%3DC%281%2C8%29%20%5C%5C%20%5C%5C%20%5C%5C%20d_%7B1%7D%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%7D%20%5C%5C%20%5C%5C%20d_%7B1%7D%3D%5Csqrt%7B%5B1-%28-1%29%5D%5E2%2B%288-10%29%5E2%7D%3D2%5Csqrt%7B2%7D)
For the second diagonal:
![B(x_{1},y_{1})=B(-4,5) \\ \\ D(x_{2},y_{2})=D(4,3) \\ \\ \\ d_{2}=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\ \\ d_{2}=\sqrt{[4-(-4)]^2+(3-5)^2}=2\sqrt{17}](https://tex.z-dn.net/?f=B%28x_%7B1%7D%2Cy_%7B1%7D%29%3DB%28-4%2C5%29%20%5C%5C%20%5C%5C%20D%28x_%7B2%7D%2Cy_%7B2%7D%29%3DD%284%2C3%29%20%5C%5C%20%5C%5C%20%5C%5C%20d_%7B2%7D%3D%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%7D%20%5C%5C%20%5C%5C%20d_%7B2%7D%3D%5Csqrt%7B%5B4-%28-4%29%5D%5E2%2B%283-5%29%5E2%7D%3D2%5Csqrt%7B17%7D)
So the diagonals aren't congruent. Are they perpendicular?
These two vectors will be perpendicular (hence the diagonals will be perpendicular) if and only if the dot product equals zero, so:
Thus, the diagonals aren't perpendicular. In conclusion:
<h3>D. The diagonals are neither congruent nor perpendicular, which means the quadrilateral is a parallelogram only.</h3>
Answer:
A national car rental company recently conducted a study recently in which cars with automatic and standard transmissions (factor B) were rented to male and female customers (factor A). Three customers in each category were randomly selected and the miles driven per day was recorded as follows:
Based on the design of this study, how many degrees of freedom will be associated with the mean square for factor A?
8312
Answer:
perimeter = 56 m
area= 196 m^2
Step-by-step explanation:
perimeter = 4 x sides = 4 x 35(2/5) = 4 x 14 = 56 m
area= sides^2 = (35 x 
= 14^2 = 196 m^2
Answer:
Assume ΔABC is an acute triangle.
Step-by-step explanation:
Given the triangle ABC.
We have to tell the first step of indirect proving ΔABC is not an acute triangle.
An indirect proof, also known a proof by contradiction. When we use indirect proof method, we assume the opposite of our theory to be true and then by applying our assumed theory we contradict the given statement which proves our supposition is wrong. In other words, we assume our theory is false.
Hence, our first step is to
Assume ΔABC is an acute triangle.
Third option is correct.
