Recall that the component form of a vector that goes from point (x,y) to point (v,w) is:
![.](https://tex.z-dn.net/?f=.)
Therefore the component form of the vector that goes from point A to point B is:
![.](https://tex.z-dn.net/?f=%3C-8-%28-3%29%2C1-%28-7%29%3E.)
Simplifying the above result we get:
![\begin{gathered} , \\ . \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3C-8%2B3%2C1%2B7%3E%2C%20%5C%5C%20%3C-5%2C8%3E.%20%5Cend%7Bgathered%7D)
Answer:
Answer: 24 inches.
Step-by-step explanation:
You can find the perimeter of the polygon by adding the side lengths.
First, find the missing side lengths.
There is a short space between the right side of the square above the triangle. The triangle is 3 inches tall, and the square is 4 inches tall, so that space is 1 inch long.
We can then add the sides to find the perimeter:
4 + 9 + 5 + 1 + 5 = 24 inches long.
Keep in mind that the three inches of the triangle is not included in the sum because it is not on the outside of the polygon. The perimeter only includes the lengths of the exterior sides.
Knowing that a straight line is 180° you can use this to your advantage. If you take all parts of the ratio and add them together you can get the total number of "pieces" the 180° will be divided into.
![4 + 3 + 2 = 9](https://tex.z-dn.net/?f=4%20%2B%203%20%2B%202%20%3D%209)
Then divide the 180° by the total.
![180 \div 9 = 20](https://tex.z-dn.net/?f=180%20%5Cdiv%209%20%3D%2020)
Now you can use the value for one "piece" and multiply it by how ever many the ratio says.
The angle FOG has the 4 value of the ratio so you multiply 20 by 4 to get the value of the angle.
![20 \times 4 = 80](https://tex.z-dn.net/?f=20%20%5Ctimes%204%20%3D%2080)
m<FOG = 80°
Answer:
128%
Step-by-step explanation:
25×128=3200.00
3200.00÷100=32.00
Answer:
r = 2
Step-by-step explanation:
(2-3)/(6-5)
= -1/1
= -1