The rules are very simple: an angle is acute if it's less than 90°, whereas it is obtuse if it's more than 90°.
So, for the first task, you just need to compare the given angle with 90°. If the angle is less than 90°, it's acute. Otherwise, it's obtuse.
Moving on, angle B is complement of a angle A if A+B=90. So, for example, the complement of the first angle is 80, because 10+80=90. Note that this implies that obtuse angles don't have a complement.
Finally, angle B is supplement of a angle A if A+B=180. So, for example, the complement of the first angle is 170, because 10+170=180.
Answer: Choice C. mean > median
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Explanation:
Multiply each measure with their corresponding frequency.
- 8*1 = 8
- 10*3 = 30
- 14*2 = 28
Add up those products: 8+30+28 = 66
Then divide by the total frequency n = 1+3+2 = 6 to get 66/6 = 11 as the mean.
mean = 11
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Since we have n = 6 values in this list, this means the median is between slot n/2 = 6/2 = 3 and slot 4.
Note how that places us in the middle row because 1+3 = 4 encapsulates both of those slots mentioned. So the median is 10.
Or you could list out the values in roster notation {8, 10, 10, 10, 14, 14} to see that {10,10} occupy the middle most slots. So the median is (10+10)/2 = 20/2 = 10.
median = 10
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The mode is simply the most frequent value. The table shows that mode = 10 since it occurs 3 times, compared to 8 showing up 1 time and 14 showing up twice.
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We have the following summary
- mean = 11
- median = 10
- mode = 10
With that in mind, let's go through the answer choices.
- We can see that mean < mode is false, since it should be mean > median, so cross choice A off the list.
- mean = median is also false, so choice B is crossed off as well.
- mean > median is true since 11 > 10 is true. Choice C is the answer. Note how this being true directly contradicts choice B, which is another reason to see why choice B is false.
- median > mode is false because 10 > 10 is false. It should be median = mode. Choice D is crossed off the list.
Sales tax is:
$35* (6/100)= $2.10
$35+ $2.10= $37.10
The total cost of the doll (including sales tax) is $37.10~
When given two points, use point-slope form
When given a point and the intercept, use slope-intercept form.
When given a point and the slope, use point slope form.
Step-by-step explanation:
Length of rectangle = 4 * 3.5cm = 14cm.
Perimeter of rectangle = 2(14 + 3.5) = 35cm.
Area of rectangle = 14 * 3.5 = 49cm².
