Answer:
x = 20.4
Step-by-step explanation:
x/0.6 = 17/0.5
0.5x = 17 (0.6)
0.5x = 10.2
0.5x/0.5 = 10.2/0.5
x = 20.4
CHECKING MY WORK:
20.4/0.6 = 34
17/0.5 = 34
34 = 34
Answer:
2 2/5
Step-by-step explanation:
Answer:
XY is a tangent
Step-by-step explanation:
Given
![XY = 12](https://tex.z-dn.net/?f=XY%20%3D%2012)
![WY = 20](https://tex.z-dn.net/?f=WY%20%3D%2020)
![WZ = 8](https://tex.z-dn.net/?f=WZ%20%3D%208)
Required
Is XY a tangent?
XY is a tangent if:
![WY^2 = XY^2 + WX^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20WX%5E2)
Because XY should make a right angle at point X with the circle
Where
![WX = 2 * WZ](https://tex.z-dn.net/?f=WX%20%3D%202%20%2A%20WZ)
So, we have:
![WY^2 = XY^2 + WX^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20WX%5E2)
![WY^2 = XY^2 + (2*WZ)^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20%282%2AWZ%29%5E2)
![WY^2 = XY^2 + (2WZ)^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20%282WZ%29%5E2)
![WY^2 = XY^2 + 4WZ^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%204WZ%5E2)
This gives:
![20^2 = 12^2 + 4*8^2](https://tex.z-dn.net/?f=20%5E2%20%3D%2012%5E2%20%2B%204%2A8%5E2)
![400 = 144 + 256](https://tex.z-dn.net/?f=400%20%3D%20144%20%2B%20256)
![400 = 400](https://tex.z-dn.net/?f=400%20%3D%20400)
<em>Yes, XY is a tangent</em>
The expression would be (9+8) times 4
hope i helped