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cestrela7 [59]
3 years ago
11

John writes the proof below to show that the sum of the angles in a triangle is equal to 1800.

Mathematics
1 answer:
tester [92]3 years ago
4 0

Hello, I believe the answer you are looking for is:

- When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

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A rabbit traveled 60 meters in 4 seconds. what is the unit rate? enter your answer into the box.
blondinia [14]
60 meters
4 seconds

To find the unit rate, divide the distance by the time.

60/4=15meters per second= 15m/s
4 0
3 years ago
An urn contains nine red and one blue balls. A second urn contains one red and five blue balls. One ball is removed from each ur
il63 [147K]

Answer:

0.362

Step-by-step explanation:

When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:

- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.

- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14

- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7

- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.

Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability

P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362

8 0
3 years ago
The altitude of an airplane is described by a certain function h , where h(t) is the altitude in feet of the airplane t minutes
aleksandr82 [10.1K]

The airplane’s altitude was 400 feet at 8:00 a.m. is the best describes

the meaning of the statement h(0)=400 ⇒ answer a

Step-by-step explanation:

The altitude of an airplane is described by a certain function h ,

where h(t) is the altitude in feet of the airplane t minutes after

8:00 a.m.

That means:

1. The altitude of the airplane can be calculated by using this function

   at any time after 8:00 a.m.

2. At 8.00 a.m. the value of t = 0

3. h(0) is the initial altitude of the airplane

∵ The altitude of the airplane h at any time t after 8:00 a.m. can be

   calculated from the function h(t)

∵ At 8:00 a.m. t = 0

∵ h(0) = 400

∴ The altitude of the airplane at t = 0 is 400

∴ The initial altitude of the airplane is 400

The airplane’s altitude was 400 feet at 8:00 a.m.

Learn more:

You can learn more about functions in brainly.com/question/10382470

#LearnwithBrainly

4 0
4 years ago
Help^^ please!!!!!!!!!!!!!!!!!
Firlakuza [10]
Jaquan is C
Colby is B do you need an explanation

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7 0
3 years ago
Read 2 more answers
Simplify the expressions:<br><br><br> 2(3a+1)-5a
stepan [7]

Answer:

6a+2-5a

ascending

2+a

descending

a+2

8 0
3 years ago
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