Answer:
An exterior angle of a triangle is equal to the sum of the two remote
Step-by-step explanation:
2 a b c. 13. 10 z. 169 100 z. 269 z z. 269 16.4. +. = +. = +. = = = ≈. 3 – 4 – 5 x6 x6 x6 ... x 12. = = = = w y z x.
Answer: 2 4/9
The decimal equivalent is 2.44
Step-by-step explanation:
It may help to convert the fractions to decimals. Divide the numerator by the denominator.
2 3/8 is 2.375
2 1/8 is 2.125 etc.
Remember that absolute value is considered positive. Then put the numbers in order.
Answer:
![B' = (-3, -15)](https://tex.z-dn.net/?f=B%27%20%3D%20%28-3%2C%20-15%29)
Step-by-step explanation:
Given
![A = (-3,-1)](https://tex.z-dn.net/?f=A%20%3D%20%28-3%2C-1%29)
![A' = (-9,-3)](https://tex.z-dn.net/?f=A%27%20%3D%20%28-9%2C-3%29)
![B = (-1,-5)](https://tex.z-dn.net/?f=B%20%3D%20%28-1%2C-5%29)
Required
Determine the coordinates of B'
Since A' is the image of A; we need to first calculate the scale factor using
![A' = A * Scale\ factor](https://tex.z-dn.net/?f=A%27%20%3D%20A%20%2A%20Scale%5C%20factor)
Make Scale Factor the subject
![Scale\ Factor = \frac{A'}{A}](https://tex.z-dn.net/?f=Scale%5C%20Factor%20%3D%20%5Cfrac%7BA%27%7D%7BA%7D)
Substitute values for A' and A
![Scale\ Factor = \frac{(-9,-3)}{(-3, -1)}](https://tex.z-dn.net/?f=Scale%5C%20Factor%20%3D%20%5Cfrac%7B%28-9%2C-3%29%7D%7B%28-3%2C%20-1%29%7D)
Factorize the numerator
![Scale\ Factor = \frac{3 * (-3,-1)}{(-3, -1)}](https://tex.z-dn.net/?f=Scale%5C%20Factor%20%3D%20%5Cfrac%7B3%20%2A%20%28-3%2C-1%29%7D%7B%28-3%2C%20-1%29%7D)
![Scale\ Factor = \frac{3 * 1}{1}](https://tex.z-dn.net/?f=Scale%5C%20Factor%20%3D%20%5Cfrac%7B3%20%2A%201%7D%7B1%7D)
![Scale\ Factor = 3](https://tex.z-dn.net/?f=Scale%5C%20Factor%20%3D%203)
The coordinates of B' is then calculated as follows:
![B' = B * Scale\ Factor](https://tex.z-dn.net/?f=B%27%20%3D%20B%20%2A%20Scale%5C%20Factor)
Substitute values for B and Scale Factor
![B' = (-1,-5) * 3](https://tex.z-dn.net/?f=B%27%20%3D%20%28-1%2C-5%29%20%2A%203)
![B' = (-3, -15)](https://tex.z-dn.net/?f=B%27%20%3D%20%28-3%2C%20-15%29)
It's 6 x 6 because the ratio is 9:30