Answer:
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Step-by-step explanation:
In a triangle, the sum of all inside angles must be 180 degrees.
In this question:
The inside angles are: x, x + 50 and 180 - 3x.
Then
x + x + 50 + 180 - 3x = 180
2x - 3x = -50
x = 50
So
x degrees = 50 degrees.
x + 50 degrees = 50 + 50 = 100 degrees
(180 - 3x) degrees = (180 - 3*50) = 30 degrees.
Answer: FIRST OPTION.
Step-by-step explanation:
First, it is important to remember that the Slope-Intercept form of the equation of a line is the shown below:

Where "m" is the slope of the line and "b" is the y-intercept.
By definiton, given a System of Linear equations, if they are exactly the same line, then the System of equations have Infinely many solutions.
In this case you have the following System of Linear equations given in the exercise:

So, since you need the system has Infinite solutions, you know that the slope and the y-intercept of both lines must be equal.
Therefore, you can identify that the value of "a" and "b" must be the following:

So the Linear System would be the shown below:

Hello There!
<u><em>n - d = 0</em></u>
<u><em>5n+10d = 90</em></u>
<u><em>----------------------</em></u>
<u><em>n-d = 0</em></u>
<u><em>n+2d = 18</em></u>
<u><em>-------------------</em></u>
<u><em>Subtract and solve for "d":</em></u>
<u><em>3d = 18</em></u>
<u><em>d = 6 (# of dimes)</em></u>
<u><em>n = d = 6 (# of nickels)</em></u>
No, because the sum of the total angle measure (or whatever it is called) is 720°, but those numbers only add up to 710°
We know that the number of workers doubles every week.
This implies that the number of workers of the previous week is exactly half of the current one's.
So, it took 11 weeks for the factory to be at half capacity.