Hi there!
Let the second angle be represented by x. Now, just use the given information to write expressions for each angle.
Angle 1:
The question says that it is 10 degrees less than the second angle. Therefore, it can be represented by the expression x - 10.
Angle 2:
Represented by x.
Angle 3:
As said in the question, the third angle is 2 times the second angle. This gives us the expression 2 × x, giving us 2x.
Now, take all the expressions and add them up and make them equal to 180 degrees, according to the Triangle Sum Theorem.
x + 2x + x - 10 = 180
4x - 10 = 180
4x = 190
/4 /4
x = 47.5
Therefore, the angle measures are 47.5 degrees, 2(47.5) = 95, and 47.5 - 10 = 37.5 degrees. Hope this helped!
Answer:
Negative: (-∞,-3] and [1/2,-∞)
Positive: [-3,1/2]
Step-by-step explanation:
The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.
C negative 4 :) Hope that helps!!
So the total cost depends on the price of the item(s) (c depends on p)
The independent variable is p, the price of the item, because it is not going to depend on anything else.
The dependent variable is c, because the total cost depends on how many items there are, whether your name is marked on it, etc.
The equation would be :
c = p + $3.99
I hope this was helpful!
Change/original * 100 is percent change formula
4/10 * 100 = 40% increase
