9514 1404 393
Answer:
False
Step-by-step explanation:
Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.
sin(B) > sin(Y) . . . . FALSE
sin(B) = sin(Y) . . . . true
Remember (Soh) (Cah) (Toa). CSC is just the inverse of sine.
Answer:
1) Part A)
Liters Mililiters
1 1,000
5 5,000
8 8,000
14 14,000
2) Part B)
One way to convert 4.2 liters to milliliters is to <u> multiply </u> the number of liters by the number of milliliters in 1 liter. This means there are <u> 4,200 </u>milliliters in 4.2 liters. The cafeteria has the greatest amount of <u> orange </u>juice, the second greatest amount of <u> grape </u> juice, and the least amount of <u> cranberry </u>juice.
Explanation:
<u>1) Data:</u>
- Grape juice: 8,000 mililiters
- Cranberry juice: 4.2 liter
- Orange juice: 12,000 mililiters
- There are 1,000 mililiers in 1 liter
<u>2) Part A:</u>
<u>Table:</u>
The table is garbled. This is what the tables could look like:
Liters Mililiters
1 1,000
5 5,000
8 8,000
14 14,000
You can see that the table shows a direct relationship between the number of mililiters and the number of liters:
- 1,000/1 = 1,000
- 5,000/5 = 1,000
- 8,000/8 = 1,000
- number of mililiters / liters = 1,000
<u>3) Part B)</u>
Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:
i) One way to convert 4.2 liters to milliliters is to <u> multiply </u> the number of
liters by the number of milliliters in 1 liter.
- As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.
ii) This means there are <u> 4,200 </u>milliliters in 4.2 liters.
- That is the product 4.2 × 1,000 = 4,200.
iii) The cafeteria has the greatest amount of <u> orange </u>juice, the second greatest amount of <u> grape </u> juice, and the least amount of <u> cranberry </u>juice.
Rank the amounts:
↑ ↑ ↑
orange grape cranberry
Answer:
Option D (8,4)
Step-by-step explanation:
we know that
The dilation centered at the origin (0,0) is very simple. To find out the image point multiply the scale factor to the x and y-coordinates of the pre-image point.
so
(2*4,2*2) -----> (8,4)
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