We are asked to find a range for x. Let's start by finding the maximum value. We know, by definition, that a side opposite a larger angle has a longer length. For example, if you think about a right triangle, the hypotenuse (the longest side) is always opposite of the right angle (the largest angle). We are given two side lengths: 23 is opposite of 42 degrees, and 21 is opposite of 3x + 15. Because 42 is opposite the longer side, 42 degrees is a larger angle than 3x + 15. We can set up the inequality and solve for x:
Now, let's look at the minimum value. We know that the angle definitely has to be larger than 0. So, we can set up that inequality and solve for x:
Now, we have our final range: -5 < x < 9
Answer:
ok....
Step-by-step explanation:
why?
I don't know what is between f(x) and g(x), so (for now) there are two posible answers:
1.
- function multiplication:
2.
- function composition:
All of these would be perfectly fine represented by a pie chart except A, which doesn't add to 100%.
The question seems to be getting at the idea that a pie chart might be better when the slices are all visually different sizes. I don't really think that's right; a pie chart for D say, where the two slices are about the same, gives the correct impression of the relative frequencies, which are about the same.
Answer they're looking for: C
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Thus each angle has a measure of 108° degrees.
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