The sum of the angles equals 540
There are 3 angles that measure (x - 30) and 2 angles that measure (x)
3(x - 30) + 2(x) = 540
3x - 90 + 2x = 540
5x - 90 = 540
5x = 630
x = 126
x - 30 = 126 - 30 = 96
Answer: x = 126, x-30 = 96
Answer: A = -2/5
Step-by-step explanation:
- 6/5 - 2/5 = - 8/5 aka - 1 3/5
-1 3/5 ÷ 4 = - 2/5
Answer:
1) 
2) After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
Step-by-step explanation:
1) For generating the equation we have to take into account that in the tanks there is a initial volume of fuel that corresponds to 75 gallons, as it is stated that tank one is half full. As the capacity for tank 1 is of 150 gallons, half of the tank equals to:

Now we have to convert the rate of delivery that is expressed as a mixed number to an improper fraction so:

Then the pumping rate is of 23/4 gallons per minute, to get how many gallons are in the tank we just need to multiply this rate by the time in minutes, and as there is an initial volume we have to add it, so we have the following equation:

2) To know how much fuel is in the tank after 8 minutes we have to replace this time in the previous equation so we have

After 8 minutes delivering fuel the tanks will have 121 gallons of fuel
Step-by-step explanation:
The first set is equivalent.
We obtain the right-hand side by swapping places of the terms.
Answer:
x = 29 1/3 degrees
Step-by-step explanation:
A triangle has 3 angle that total 180 degrees.
The three angles given are 82 degrees ,2x+10 degrees and x degrees.
So,
82+ (2x+10) + x = 180
Combine like terms.
92 + 3x = 180
Subtract 92 from each side
3x = 180 -92
3x = 88
divide each side by 3
3x/3 = 88/3
Change 88/ 3 to a mixed number
3 goes in to 88 29 times with 1 left over.
x = 29 1/3 degrees