## Algerbra 1

**Cover Letter**

Emery Hannum

During this project we learned about triangles and how to figure out problem with a few different methods. In the beginning we learned how to shrink objects down or grow them by using the given numbers of the shape. That include how long the lines are and what angle the lines are at. We also learned about similar triangles and if they are right triangles. We learned that if two triangles have two or one angles then they will be the same as another triangle that have the same angles. We learned that if you have triangles that are touching each other but you only know some things like a few numbers you can use Complementary angles-add to 90, Supplementary angles-add to 180, and Vertical angles-same on both sides. Help figure out the problems & answers. Remembering that a triangle equals 180 you are able to figure out what each angles are for each triangles, even if they look comcatated.

**Pow #4**

I found out that using 5 and 3 bring me to the highest impossible way is 7. I also found that 4 and 3 bring me to 5 and 3 and 8 bring me to 13. They are all possible because when added up they become numbers but the numbers 7, 5, and 13 are impossible because they are the only highest number that the two numbers cannot make. To figure out how i did this i started with 1 and went up either marking it as possible or not. For example 5 and 3: 1✖, 2✖, 3✔, 4✖, 5✔, 6✔, 7✖, 8✔, 9✔, 10✔ … with 4 and 3: 1✖, 2✖, 3,✔ 4✔, 5✖, 6✔, … Also with 3 and 8: 1✖, 2✖, 3✔, 4✖, 5✖, 6✔ ,7✖ ,8✔, 9✔, 10✖, 11✔, 12✖, 13✖, 14, 15✔ … All work in many ways you can think by adding the two numbers that I gave you together.

Some of the patterns I found were that the first three numbers are all impossible. you will know if they will because you can look it up or calculate it on paper or in your head. If you use 6 and 4 your highest possible score will be 0 because that is the highest number that doesn't work.I think that it was easy and fun to know how to do it and how to find the impossible way out of two numbers. When doing it wrong you can get confused and lost compared to another person's answer. But you soon understand how to do it.