Answer:
17. 6
18. 18 (as shown)
19. 10/3 = 3 1/3
20. 20/3 = 6 2/3
Step-by-step explanation:
17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.
19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...
... GD = (1/3) CD = (1/3)·10 = 10/3
... GD = 3 1/3
20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.
... CG = CD -GD = 10 -3 1/3
... CG = 6 2/3
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<em>Comment on centroid and median</em>
The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.
The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.
Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)
Answer:
10 ft 10 in
Step-by-step explanation:
Note that there are 12 inch in 1 feet. Add corresponding numbers together:
6 ft 2 in + 4 ft 8 in = (6 ft + 4 ft) + (2 in + 8 in) = 10 ft + 10 in
10 ft 10 in is your answer.
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Answer:
z=3.3 repeating
Step-by-step explanation:
Move all terms that don't contain z to the right side and solve.
Answer:
The first one
Step-by-step explanation:
To figure out which one is the best deal, for each one how much <em>one</em> t-shirt costs.
<u>First deal:</u>
3 t-shirts for $28.95
To figure out how much money one t-shirt would cost, you divide $28.95 by 3.
1 t-shirt = 28.95/3 = $9.65.
<u>Second deal:</u>
4 t-shirts for $39
Same thing as the last one, except since there are 4 t-shirts you divide $39 by 4.
1 t-shirt = 39/4 = $9.75
<u>Third deal:</u>
5 t-shirts for $49.95
This time you will divide 49.95 by 5.
1 t-shirt = 49.95/5 = $9.99
The last step is to compare the three deals, and since you are trying to find the one that costs the <em>least</em> you can see that the first deal is the best one, because $9.65 per shirt is cheaper than $9.75 and $9.99
Answer:
4.5
Step-by-step explanation:
7.3= y + 2.8
Subtract 2.8 from both sides
7.3 = y+ 2.8
-2.8 -2.8
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y = 4.5
