Answer:
x=12
Step-by-step explanation:
The three angles add to a straight line which is 180 degrees
20 + 6x-2 + 90 = 180
Combine like terms
108 + 6x = 180
Subtract 108 from each side
108+6x-108 = 180-108
6x =72
Divide each side by 6
6x/6 = 72/6
x=12
Answer:
The sum of the first 8 terms in the series is 65535.
Step-by-step explanation:
We have,
The common ratio in a geometric series, r = 4
First term of GP is, a = 3
It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :

Here, n = 8

So, the sum of the first 8 terms in the series is 65535.
Answer:
22/15 quarts of water.
Step-by-step explanation:
To solve this, we need to add 4/5 and 2/3. To do this, we need to find the LCM of 5 and 3. The LCM of 5 and 3 is 15. Now, we multiply 4/5 by 3/3. That gets us 12/15. Now, we multiply 2/3 by 5/5. That gets us 10/15. Now, we add 12/15 and 10/15 (don't add the bottom numbers). This gets us 22/15 quarts of water.
Answer:
102.56
Step-by-step explanation:
136.75 - 25% = 102.56
25% of 136.75 = 34.19