Answer:
SSS
Step-by-step explanation:
The sides of ABC and DEF are equal
AC = DF
CB = EF
AB = DE
Because the sides of both triangles correspond, the two are congruent
Answer:
SSS
Step-by-step explanation:
The sides on the triangles are of the same length.
AC = CF
CB = EF
AB = DE
The largest scale map is indicated by the representative fraction 1:1. Option A is correct.
In cartography, the representative fraction (RF) of a map indicates the scale of the map, specifically the ratio between a distance on the map and the corresponding distance on the Earth's surface. A larger RF value means a larger scale map, which represents smaller areas with more detail.
Now, let's compare the given options:
1. 1:1 - This RF means that one unit on the map represents one unit on the ground, essentially a one-to-one scale. It doesn't get any larger than this, so this is the largest scale possible.
2. 1:0 - This doesn't make sense in cartography because you cannot represent the Earth's surface with zero on one side of the ratio. It's an invalid option.
3. 1:1,000,000 - This RF indicates that one unit on the map represents one million units on the ground. This is a much smaller scale compared to 1:1, so it represents a much larger area with less detail.
4. 1:24,000 - This RF means that one unit on the map represents 24,000 units on the ground. While this is a larger scale than 1:1,000,000, it is still smaller than 1:1, which is the largest scale.
In summary, the largest scale map is represented by 1:1. Option A is the answer.
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Answer:
The representative fraction (RF) of a map indicates the scale of the map. In a representative fraction, the first number represents a unit of measurement on the map, and the second number represents the corresponding unit of measurement in the real world.
Among the options provided, a larger scale map would have a smaller second number because it means that one unit of measurement on the map represents a smaller unit of measurement in the real world. So, the largest scale map in the given options is:
1:24,000
In this case, 1 unit on the map represents 24,000 units in the real world, indicating a very detailed and large-scale representation of the area.
(a) The distributor tells Ms. Ann that dry ice is not like regular ice. The temperature of dry ice can be anywhere between –109.3oF and –78.5oF. What is the range of temperature of dry ice? Show your work.
(b) The distributor also tells Ms. Ann that they use a special freezer to store the dry ice. Dry ice is usually stored at –99oF. The average household freezer can only be set to –18oF at the lowest setting. How many times colder is the special freezer than an average household freezer? Show your work.
(c) The distributor says his 5 smallest freezers are set at –86.4o F, –80.2oF, –84.1oF, –90.2oF, and
–79.9oF. Record the numbers in order from least to greatest.
(d) What is the average temperature of the distributor’s 5 smallest freezers? Show your work.
(e) The highest temperature that is recommended for storing dry ice is –78.5oF. The distributor says that, because of the amount of dry ice he has, he stores his larger blocks of dry ice in the big freezer which is 15.5oF below that temperature. What is the temperature of the big freezer? Show your work.
(f) The distributor suggests to Ms. Ann that she not store the dry ice in the freezer or the refrigerator because the huge difference in temperature might make the freezer or refrigerator shut down. Ms. Ann’s refrigerator is usually set at 35oF. What is the difference in temperature between Ms. Ann’s refrigerator and the distributor’s freezer? Show your work.
(g) The price list for the dry ice is below:
Dry Ice Price List
1 block (approximately 50 lb)..……………………………………..$30.50 1/2 block……………………………………………………………...$16.25 1/4 block………………………………………………………………$10.50 Pellets (8 lb bag) ……………………………………………………...$6.15
Ms. Ann has a creditfor $54.18 that she wants to use. She wants to use as much of the credit as shecan and she has no other money with her. What should she purchase from the listin order to use the most of her credit without going over and how much will shehave left over on the credit? Show your work.
b- xis the dependent variable,
c- D(6) = 3,
d- D(x) is a direct variation,
e- D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).
Answer:
A
E
D
Step-by-step explanation:
True
False
Of the provided graphs, the second would be the correct answer.
Functions occur when the input only has one possible output (though the output can be recieved through multiple inputs)
The relation shown in the 2nd diagram is a function. The reason for this is that one and only one y-value is associated with each x-value.
Note that this is not true of the first diagram. If x=0, there are two separate y vaues associated: -1 and 2. This clearly states that the first diagram does not represent a function.