C+96>_120
c>_120-96
c >24
u simply move the 96 to the right to subtract and it then became easy to solve
Answer:
86°
Step-by-step explanation:
This is a circle theorem question, specifically the cyclic quadrilateral theorem.
If you have a a 4-sided shape that touches the circumference of the circle with all 4 vertices, it's know as a cyclic quadrilateral.
The theorem states: "Opposite angles in a cyclic quadrilateral add up to 180°"
We want the angle at point L so we subtract the opposite angle to L (Angle J, which is 94°), so 180 - 94 = 86
The neat thing is that it's still a quadrilateral, and if you find all the remaining sides, they should add up to 360°, just like a regular square or rectangle.
Answer:
-4
Step-by-step explanation:
Answer:
they make the same per hour
<span>It looks like you're supposed to pick a combination of two answers:
an absolute-value inequality, and
a sentence describing the meaning of that inequality.
We've got two choices for each, and therefore four possible combinations of choices.
First, let's tackle the sentence description. We're told that
"it [the cost] could differ [from the average of $32] as much as $8."
That sets a maximum value for the difference; it's UP TO $8.
If the cost is less than average, it could be as little as
$32 - $8 = $24
and if the cost is more than average, it could be as much as
$32 + $8 = $40.
So the medication costs range from $24 to $40, and we want an answer that states that.
Now for the inequalities:
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between
x - 32
and
32 - x
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference.
But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality
|x - 32| ≥ 8
says the difference is 8 or MORE, so we don't want that. Instead, we want
|x - 32| ≤ 8
which says the difference is anywhere from 0 to 8.
Combining these conclusions, we see we're looking for this answer:
|x - 32| ≤ 8; The medication costs range from $24 to $40
which is the third one listed.</span>
