Answer:
From least to greatest:
-2, 0.2, 1/2
Step-by-step explanation:
-2 is below 0. 0.2 is below 1/2 (0.5) and 0.5 is the highest.
Answer:
Your answer is A,B,AND D
Step-by-step explanation:
Scale Factor to go from F to G = 3/4
Scale Factor to go from G to F = 4/3
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Explanation:
Note the sides labeled 4 and 3 are both opposite the angles that have two tickmarks. Therefore, these two sides correspond to one another.
Because of the similar triangles, the corresponding sides are in proportion. The scale factor is 3/4 meaning the smaller triangle has side lengths 3/4 as large compared to the larger triangle.
Put another way, we have a 25% reduction in the side lengths because 3/4 = 75% and 100% - 75% = 25%
So far, all of this applies when figure F is the preimage and G is the image. If we reverse things, then apply the reciprocal to 3/4 to get 4/3. Now G is the preimage and we go from smaller to larger.
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Side notes:
- If the scale factor is smaller than 1, but still positive, then the image is smaller than the preimage. We have an image reduction.
- If the scale factor is larger than 1, then the image is larger than the preimage. We have an image enlargement.
Answer:
written below for problem #2
Step-by-step explanation:
a. ratio is 12:40 since they're are 12 non fiction and 40 graphic novels
b. 40:12 (same reasoning as part a)
c. 6:40 for the ratio of science fiction to graphic novel, 12:6 for the ration of non fiction to science fiction, x:6 for the ratio of the unknown amount of fiction books to the science fiction books. (x is just there as a variable so it just represents fiction books)
This question needs more information like where point E is but I'm going to assume that point E is directly below point D
With that assumption, angle EDF should be (90°- 25°) which is 65°
tan 65° = opposite/adjacent
tan 65° = 10 yd/ DE
DE = 10 yd/tan 65°
DE = 4.7 yd (to the nearest tenth)
Remember to include a picture next time for greater clarity :)