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Alex Ar [27]
3 years ago
9

What is the name of the relationship between 1 and 4? Parallel Lines and Transversals A. corresponding angles B. alternate inter

ior angles C. obtuse angles D. adjacent angles
Mathematics
1 answer:
Tpy6a [65]3 years ago
8 0
<span>The correct answer is B. alternate interior angles. Both angles are on the inside of the two parallel lines, making them interior angles, and they are alternate because they're not on the same sides of the transversal line (the line that cuts through the parallel lines). A is incorrect because corresponding angles are those that are in the same position on both parallel lines, C is incorrect because it's impossible to tell with the information given if the angles are obtuse, and D is incorrect because adjacent angles are those that are next to each other.</span>
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Please help with this question
Iteru [2.4K]

Answer:

Inequality Form:

x ≥ − 30

Interval Notation:

[ − 30 , ∞ )

4 0
3 years ago
four students have to give a speech in class today. In how many different orders can they give their speeches?
bulgar [2K]

Answer:

There are 24 possible outcomes.

Step-by-step explanation:

1. 1-2-3-4

2. 1-4-3-2

3. 1-4-2-3

4. 1-2-4-3

5. 1-3-2-4

6. 1-4-3-2

7. 2-4-3-1

8. 2-1-3-4

9. 2-1-4-3

10. 2-4-1-3

11. 2-3-1-4

12. 2-3-4-1

13. 3-2-1-4

14. 3-2-4-1

15. 3-1-2-4

16. 3-1-4-2

17. 3-4-1-2

18. 3-4-2-1

19. 4-3-2-1

20. 4-3-1-2

21. 4-2-3-1

22. 4-2-1-3

23. 4-1-2-3

24. 4-1-3-2

Hope this helps!!


5 0
3 years ago
What is the volume of this rectangular prism?
photoshop1234 [79]

Answer:

\frac{64}{27} cm^3

Step-by-step explanation:

V = L*W*H

V= (4/3)*(4/3)*(4/3)

Volume =  \frac{64}{27}  cm^3

8 0
3 years ago
Jane's favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. C How many cups of pear juice shoul
Gala2k [10]

This question is incomplete

Complete Question

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

a) How much of each juice is needed to make 25 liters of this punch?

b) How much punch can she make if she has only 6 cups of plum juice?

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

Answer:

a)For pear =

12.5 liters

For Pineapple

= 5 liters

For plum

= 7.5 liters

b) 20 cups of punch

c) 10 cups of pear juice

Step-by-step explanation:

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3.

The total proportion is :

5 + 2 + 3 = 10

a) How much of each juice is needed to make 25 liters of this punch?

For pear =

5/10 × 25 = 12.5 liters

For Pineapple

= 2/10 × 25 = 5 liters

For plum

= 3/10 × 25 = 7.5 liters

b) How much punch can she make if she has only 6 cups of plum juice?

The ratio of plum juice is 3

6 cups / 3 = 2 cups per portion

Since 2 equals 2/3 of 3,

The quantity of pineapple juice = 2/3 of the plum juice

2/3 x 6 cups = 4 cups

Since 5 equals 5/3 of 3, the amount of pear juice amount 5/3 of the plum juuce

5/3 x 6 cups = 10 cups

So, the number of cups are

Pear juice = 10 cups

Pineapple juice = 4 cups

Plum juice 6 cups

Total=( 10 + 4 + 6) = 20 cups of punch

c) How many cups of pear juice should she use to make the quantity of punch from part (b)?

10 cups of pear juice can be used to make the quantity of punch in part b

7 0
2 years ago
1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules
hoa [83]
<span>1. How much heat is absorbed by a 50g iron skillet when its temperature rises from 10oC to 124oC? Joules

Formula: Heat = mass * specific heat * ΔT

Data:
mass = 50 g = 0.050 kg
specific heat of iron = 450 J/ kg °C
ΔT = 124°C - 10°C ¿ 114 °C

=> heat = 0.050kg * 450 J / kg°C * 114°C ≈ 2.6 J

2. If a refrigerator is a heat pump that follows the first law of thermodynamics, how much heat was removed from food inside of the refrigerator if it released 492J of energy to the room? Joules

The firs law of thermodynamics is conservation of energy => energy removed from inside of the refrigerator = energy released to the room

=> Answer = 492 J

3. How much heat is needed to raise the temperature of 45g of water by 63oC? Joules

Formula: heat = mass * specific heat * ΔT

specific heat of water = 4186 J / Kg °C

heat = 0.045 kg * 4186 J/kg °C * 63°C = 11,867.31 J
</span>
7 0
3 years ago
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