Parallelograms have equal and parallel opposite sides
<em>The coordinates of the 4th point is (-2,3)</em>
Let the parallelogram be ABCD, such that:
![A = (4,3)](https://tex.z-dn.net/?f=A%20%3D%20%284%2C3%29)
![B =(-4,3)](https://tex.z-dn.net/?f=B%20%3D%28-4%2C3%29)
![C = (2,3)](https://tex.z-dn.net/?f=C%20%3D%20%282%2C3%29)
A and B have the same y-coordinates, while their x-coordinates are additive inverse
This means that:
The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.
<u>For point C</u>
We have:
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
![y = 3](https://tex.z-dn.net/?f=y%20%3D%203)
<u>For point D</u>
The coordinates would be:
![x =- 2](https://tex.z-dn.net/?f=x%20%3D-%202)
![y = 3](https://tex.z-dn.net/?f=y%20%3D%203)
Hence, the coordinates of D is (-2,3)
Read more about parallelograms at:
brainly.com/question/9680084
Answer:
4.5 miles per hour
Step-by-step explanation:
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Distance = 3/4 of a mile
Time taken on Monday = 1/6 of an hour.
What is Selma's unit rate in miles per hour for Monday's run?
Unit rate in miles per hour for Monday's run = distance ÷ time taken
= 3/4 ÷ 1/6
= 3/4 × 6/1
= (3 * 6) / (4 * 1)
= 18/4
= 4.5 miles per hour
Unit rate in miles per hour for Monday's run = 4.5 miles per hour
Answer:
The value of cot (∠A) = 3/4
Step-by-step explanation:
Given the angle ∠A of a right-angled triangle
We know that the trigonometric ratio
cot (∠A) = adjacent / opposite
= 3/4
Thus, the value of cot (∠A) = 3/4