Answer:
The angles are <u>155°</u> and <u>25°</u>.
Step-by-step explanation:
Given:
Two supplementary angles are in the ratio of 31:5.
Now, to find the angles.
The sum of two supplementary angles = 180°
Let the ratio of the angles be
.
So, according to question:


<em>Dividing both sides by 36 we get:</em>

So, 
And, 
Therefore, the angles are 155° and 25°.
Answer:
14 gel pens/minute
Step-by-step explanation:
divide the amount by time.
210/15 = 14
The difference in gallons per day used is 3.6.
The formula to calculate a z-score is:

,
where X is the value used to calculate the score, μ is the mean and σ is the standard deviation. We have the z-scores so we must work backward:

For both equations, we will cancel the 1.2 by multiplying both sides:

Now we will cancel 2.2 from both equations by adding it to both sides:
3.6+2.2=X-2.2+2.2 and 0+2.2=X-2.2+2.2
5.8=X and 2.2=X
The difference in gas used per day would be given by
5.8-2.2 = 3.6.
QUESTION A
The given points are
and 
The slope can be found using the formula;

We substitute the point to obtain;

This simplifies to

Therefore the slope is 5.
QUESTION 2
A positive slope indicates a rising line
A negative slope indicates a rising line
A zero slope means the line is horizontal.
An undefined slope means the line is vertical.
The correct answer is
A. The line rises from left to right.
Answer:
k = -13/3
Step-by-step explanation:
Step 1: Flip the equation.
k + 7/3 = -2
Step 2: Subtract 7/3 from both sides.
k+ 7/3-7/3 = -2 - 7/3
k= -13/3
Hope this helps!