Answer:
![170](https://tex.z-dn.net/?f=170)
Step-by-step explanation:
The angle 42x+1 is the inscribed angle of Arc WX. This means Arc WX is twice of 42x+1.
![wx = 2(42x + 1)](https://tex.z-dn.net/?f=wx%20%3D%202%2842x%20%2B%201%29)
We can add up that and the other arcs to 360.
![2(42x + 1) + 29x - 1 + 65x + 3](https://tex.z-dn.net/?f=2%2842x%20%2B%201%29%20%2B%2029x%20-%201%20%2B%2065x%20%2B%203)
![84x + 2 + 29x - 1 + 65x + 3 = 360](https://tex.z-dn.net/?f=84x%20%2B%202%20%2B%2029x%20-%201%20%2B%2065x%20%2B%203%20%3D%20360)
![178x + 4 = 360](https://tex.z-dn.net/?f=178x%20%2B%204%20%3D%20360)
![178x = 356](https://tex.z-dn.net/?f=178x%20%3D%20356)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
Plug in 2 for WX.
![84(2) + 2 = 170](https://tex.z-dn.net/?f=84%282%29%20%2B%202%20%3D%20170)
Answer:
1/10
13/100
4/5
12/25
3/10
63/100
3/5
51/200
2/9
5/11
To prove the last 2 recurring ones:
0.222222... = x
10x = 10 * 0.22222... = 2.222222....
Notice how the decimal part of 10x is the same as for x:
10x - x = 2.2222222... - 0.222222... = 2
10x - x = 9x = 2
x = 2/9
Same procedure for the other one but times by 100 instead:
x = 0.454545...
100x = 45.454545...
100x - x = 45.454545... - 0.454545... = 45
100x - x = 99x = 45
x = 45/99 = 5/11
Answer:
1/3
Step-by-step explanation:
if he has spent 2/3 of his workday selling products that is almost his whole day. He has 1/3 of his workday left so he dedicated it to making calls for his company.
So you work if you subtract 2/3 from a whole that leaves you with 1/3 of your day left
Answer:
People drank 75 cups, First find the amount of juice that Mrs. Jackson bought .Then subtract the 3 cups of juice that were left over
5 x 16=80
80-3= 77