m<3 =72°
This is because m<1 and m<3 are vertically opposite.
<span> (0, 2) (3, 0)
slope = (2-0)/(0-3) = -2/3
perpendicular lines, slope is opposite and reciprocal
so </span><span>the slope of a line that is perpendicular to the line is 3/2
answer
3/2</span>
There are 21 red pens. For every 3 red pens, there is 1 blue pen.
Let's make these into a fraction equation.
21/p=3/1
p is the number of blue pens we have yet to find.
First, cross multiply.
21x1=21
px3=3p
Now, we have an equation of
21÷3p
We set it equal to 1, and we solve it.
21÷3p = 1
(21÷3p)×3p=1×3p
21=3p
21÷3=(3p)÷3
7=p
So, if there are 21 red pens, there are 7 blue pens.
We add these together to find the total number of pens the teacher has.
21+7=28
The teacher has 28 pens total.
The answer is 176 because there are 16 fl oz in a pound and since pounds are greater than fl oz You multiply 11×16 to get you product
The average rate of change on the interval (5, 6) is 9. So the correct option is D.
<h3>
How to find the average rate of change on the interval?</h3>
Here we want to find the average rate of change of f(x), the function on the table, on the interval (5, 6).
This is just:
I we look at the table we see that:
This is a system of equations.
If we subtract the second and first functions, we get:
From that we take two relations:
Now we can replace these two in the last equations so we get:
Now that we know the value of a:
The quadratic equation is:
Evaluating this in x = 6 we get:
And from the table we know that f(5) = 17, then the average rate of change is:
The correct option is D.
If you want to learn more about average rates of change:
brainly.com/question/8728504
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