Answer:
AA similarity
Step-by-step explanation:
Using angle sum theorem, you can clearly find out the missing angles on the left and right triangles are 40° and 50° respectively.
Therefore, by using any two angles in the triangles, you can prove they are similar by AA similarity.
Answer:
A. No solutions
Step-by-step explanation:
2x-2x=-9
0= -9
Since 0 does not equal -9, there are no solutions.
You can see that the function is graphed for every number x that is greater than or equal to zero.
So we write that the domain is
![x \leq 0](https://tex.z-dn.net/?f=x%20%5Cleq%200)
.
Answer:
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
Step-by-step explanation:
This answer is easily found using the Pythagorean Theorem:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
where A and B are the legs, and C is the hypotenuse of the triangle.
![{(16)}^{2} + {(6y)}^{2} = {(10y)}^{2} \\ 256 + 36{y}^{2} = 100 {y}^{2} \\ 256 = 64 {y}^{2} \\ \sqrt{256} = \sqrt{64 {y}^{2}} \\ 16 = 8y \\ y = 2](https://tex.z-dn.net/?f=%20%7B%2816%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%286y%29%7D%5E%7B2%7D%20%20%3D%20%20%7B%2810y%29%7D%5E%7B2%7D%20%20%5C%5C%20256%20%2B%20%2036%7By%7D%5E%7B2%7D%20%20%3D%20100%20%7By%7D%5E%7B2%7D%20%20%5C%5C%20256%20%3D%2064%20%7By%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Csqrt%7B256%7D%20%20%3D%20%20%5Csqrt%7B64%20%7By%7D%5E%7B2%7D%7D%20%5C%5C%2016%20%3D%208y%20%5C%5C%20y%20%3D%202)
It's the third graph, the one where the absolute function is opening downwards