Answer:
D(2,2)
Step-by-step explanation:
The diagonals of a parallelogram gram bisects each other.
Therefore E is the midpoint of AD.
Let the coordinates of D be (a,b).
By the midpoint rule:
![( \frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}) = ( - 2, \frac{1}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29%20%3D%20%28%20-%202%2C%20%5Cfrac%7B1%7D%7B2%7D%20%29)
This implies that:
![( \frac{ - 6+a}{2} ,\frac{ - 1+b}{2}) = ( - 2, \frac{1}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B%20-%206%2Ba%7D%7B2%7D%20%2C%5Cfrac%7B%20-%201%2Bb%7D%7B2%7D%29%20%3D%20%28%20-%202%2C%20%5Cfrac%7B1%7D%7B2%7D%20%29)
This implies that:
![( \frac{ - 6+a}{2} = - 2 ,\frac{ - 1+b}{2} = \frac{1}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B%20-%206%2Ba%7D%7B2%7D%20%3D%20%20-%202%20%2C%5Cfrac%7B%20-%201%2Bb%7D%7B2%7D%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%29%20)
![( - 6+a =- 4 , - 1+b = 1 ) \\ ( a =- 4 + 6 , b = 1 + 1 ) \\ ( a =2 , b =2 )](https://tex.z-dn.net/?f=%20%28%20-%206%2Ba%20%3D-%204%20%2C%20-%201%2Bb%20%3D%201%20%29%20%20%5C%5C%20%28%20a%20%3D-%204%20%2B%206%20%2C%20b%20%3D%201%20%2B%201%20%29%20%20%5C%5C%20%28%20a%20%3D2%20%2C%20b%20%3D2%20%29%20)
We are required to find the total hours David and Xavier works in a week
The total hours David and Xavier works in a week is 70 hours
let
number of hours Xavier works = 32 hours
number of hours David works = (6 + 32) hours
= 38 hours
<em>Total number of hours David and Xavier works in a week = number of hours Xavier works + number of hours David works</em>
= 32 hours + 38 hours
= 70 hours
Therefore, the total hours David and Xavier works in a week is 70 hours
Read more:
brainly.com/question/21350626
Step-by-step explanation:
2 × 10⁸ - 7 × 10⁷
= 200,000,000 - 70,000,000
=130,000,000
= 1.3 × 10⁸
10:100 or 10%
The relative frequency of the people who visited the gift shop AND did not watch the film was .10 which translates to 10:100 which can also be represented as 10%.
Hope that helps.