No. Two angles will have to be the same and the third angle will just be 180° minus twice the smaller angles.
So if we let the equal angles equal a, and the large angle equal be we have:
2a+b=180
So there are infinitely many values that a and b can have.
a=(180-b)/2, so the smaller equal angles have the range (0,90)
b=180-2a, so the larger has a range of (0,180)
Question:
The parallelogram shown below has an area of 40 units squared.
Find the missing base.
Answer:
See Explanation Below
Step-by-step explanation:
The question is incomplete as the diagram which shows the dimension of the parallelogram is not attached.
However, I'll give a general explanation on how to get the base of the parallelogram. If you follow this explanation, you'll get the right answer regarding your question.
The area of a parallelogram is calculated as thus.
Area = Base * Height
Given that the area = 40 units²
Let's assume the height of the parallelogram is 10 unit.
All you need to do is to plug in these values in the formula above..
Area = Base * Height becomes
40 = Base * 10
Divide both sides by 10
40/10 = Base * 10/10
4 = Base
Hence, Base = 4 units
Or take for instance the height is 5 units.
You'll still follow the simple steps as it is above.
Area = Base * Height becomes
40 = Base * 5
Divide both sides by 5
40/5 = Base * 5/5
8 = Base
Hence, Base = 8 units
Answer:
1. 
2. 13.5 + 
3. 
6. 
These four options are rational;
Step-by-step explanation:
1. equals to 10 * 10 = 100 which is rational
2. 13.5 + equals 13.5 + 9 = 22.5
3. -- 3+27 = 30
6.
Option 4 and 5 are irrational because they include 
and 
which are not a perfect square and their answers will be non recurring and non terminating decimal fraction.
Answer:
1300
Step-by-step explanation:
Let the amount put in the station's tank = x
4(400 + x) = 8100 - x Remove the brackets
1600 + 4x = 8100 - x Subtract 1600 from both sides
1600 - 1600 + 4x = 8100 - 1600 - x Do the subtraction
4x = 6500 - x Add x to both sides
4x + x = 6500 - x + x
5x = 6500 Divide by 5
5x/5 = 6500/5
x = 1300
1300 gallons were added to the station's tank.
