Answer:
45
Step-by-step explanation:
all angles have to add up to a total of 360, so the other 3 angles equal 270 and there's two more angles that need to split 90° equally
Answer:
d. The width of Elly's interval will be less than the width of Drew's interval.
Step-by-step explanation:
The confidence level and the width of the confidence interval are direct proportional. This means that a confidence interval with a higher confidence level has a higher width.
For example, a 99 percent confidence interval is wider than a 90 percent confidence interval.
The midpoint of the confidence interval is the mean of the population, no matter the confidence level.
In this problem, we have that:
Elly: 90 percent CI
Drew: 99 percent CI
The correct answer is:
d. The width of Elly's interval will be less than the width of Drew's interval.
The fica tax rate from employer will be 7.65 % of the salary.
= 7.65 % x $ 2,200
= $ 168.3
Multiply it by 52 if you want yearly number
Answer:
X=20
Step-by-step explanation:
Answer: B) Dilate by scale factor of 2
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Explanation:
Your teacher isn't saying this directly, but I'm assuming s/he wants you to find a similar figure that isn't congruent to the original. Informally, your teacher seems to want you to find a figure that is the same shape but not the same size as the original.
If so, then any dilation will shrink or enlarge the image depending on the scale factor. So the new image will not be the same as the old one. In this case, a dilation with scale factor 2 means the new figure is twice as large (each side is twice as long). But the old image is similar to the new image. The angles keep their values and therefore we get the same shape. This is why choice B is the answer. Again this is assuming what I mentioned in the first paragraph.
Choices A, C, and D are all known as rigid transformations and they preserve the same size of the figure. Applying any of those operations will lead to the same figure (just rotated, reflected or shifted somehow). In other words, applying operations A,C, or D will have us get two congruent triangles. If two triangles are congruent, then they are automatically similar, but not vice versa. This is why we can rule out A,C, and D.
