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Levart [38]
3 years ago
15

if an exterior angle of a triangle has a measure of 35 degrees, what is the measure of the adjacent interior angle?

Mathematics
2 answers:
shutvik [7]3 years ago
6 0

Answer:

145

Step-by-step explanation:

35+x=180

180-35=145

x=145

Alona [7]3 years ago
3 0

Answer:

145

Step-by-step explanation:

Adjacent interior angle = x

Sum of exterior angle and adjacent interior angle = 180

35 + x = 180

x = 180 - 35

x = 145

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You play the following game against your friend. You have 2 urns and 4 balls One of the balls is black and the other 3 are white
Rom4ik [11]

Answer:

Part a: <em>The case in such a way that the chances are minimized so the case is where all the four balls are in 1 of the urns the probability of her winning is least as 0.125.</em>

Part b: <em>The case in such a way that the chances are maximized so the case  where the black ball is in one of the urns and the remaining 3 white balls in the second urn than, the probability of her winning is maximum as 0.5.</em>

Part c: <em>The minimum and maximum probabilities of winning  for n number of balls are  such that </em>

  • <em>when all the n balls are placed in one of the urns the probability of the winning will be least as 1/2n</em>
  • <em>when the black ball is placed in one of the urns and the n-1 white balls are placed in the second urn the probability is maximum, as 0.5</em>

Step-by-step explanation:

Let us suppose there are two urns A and A'. The event of selecting a urn is given as A thus the probability of this is given as

P(A)=P(A')=0.5

Now the probability of finding the black ball is given as

P(B)=P(B∩A)+P(P(B∩A')

P(B)=(P(B|A)P(A))+(P(B|A')P(A'))

Now there can be four cases as follows

Case 1: When all the four balls are in urn A and no ball is in urn A'

so

P(B|A)=0.25 and P(B|A')=0 So the probability of black ball is given as

P(B)=(0.25*0.5)+(0*0.5)

P(B)=0.125;

Case 2: When the black ball is in urn A and 3 white balls are in urn A'

so

P(B|A)=1.0 and P(B|A')=0 So the probability of black ball is given as

P(B)=(1*0.5)+(0*0.5)

P(B)=0.5;

Case 3: When there is 1 black ball  and 1 white ball in urn A and 2 white balls are in urn A'

so

P(B|A)=0.5 and P(B|A')=0 So the probability of black ball is given as

P(B)=(0.5*0.5)+(0*0.5)

P(B)=0.25;

Case 4: When there is 1 black ball  and 2 white balls in urn A and 1 white ball are in urn A'

so

P(B|A)=0.33 and P(B|A')=0 So the probability of black ball is given as

P(B)=(0.33*0.5)+(0*0.5)

P(B)=0.165;

Part a:

<em>As it says the case in such a way that the chances are minimized so the case is case 1 where all the four balls are in 1 of the urns the probability of her winning is least as 0.125.</em>

Part b:

<em>As it says the case in such a way that the chances are maximized so the case is case 2 where the black ball is in one of the urns and the remaining 3 white balls in the second urn than, the probability of her winning is maximum as 0.5.</em>

Part c:

The minimum and maximum probabilities of winning  for n number of balls are  such that

  • when all the n balls are placed in one of the urns the probability of the winning will be least given as

P(B|A)=1/n and P(B|A')=0 So the probability of black ball is given as

P(B)=(1/n*1/2)+(0*0.5)

P(B)=1/2n;

  • when the black ball is placed in one of the urns and the n-1 white balls are placed in the second urn the probability is maximum, equal to calculated above and is given as

P(B|A)=1/1 and P(B|A')=0 So the probability of black ball is given as

P(B)=(1/1*1/2)+(0*0.5)

P(B)=0.5;

5 0
3 years ago
Which ordered pairs are solution of the inequality?
Anarel [89]

Answer:

The answer would be A, D, and C.

Step-by-step explanation:

y=1, so

1 > 2(1) -2

1> 2-2

1>0                        TRUE

NEXT.

y=3

3> 2(-1) -2

3>-2-2

3> -4                      TRUE

NEXT

y=-2

4>2(2) -2

4 > 4-2

4>2                     TRUE!

I hope this helps!

8 0
3 years ago
7 marbles are in a bag 2 marbles are red and the rest are black how many marbles in bag are black
Nimfa-mama [501]

Answer:

5 marbles are black.

Step-by-step explanation:

7-2=5

7 0
2 years ago
Read 2 more answers
Please help with 6-38 and give explanation on how you did it
MAXImum [283]
If you do 6-8 you get -2 so all you have to do is add the 3 and its negative. the answer is      .............-32
4 0
3 years ago
dente has been putting one penny in his bank everyday. now je has 161 pennies. for how many weeks has dente been adding pennies
SIZIF [17.4K]

23

1 day is equal to 0.14285714 weeks, so multiply that by the number of days.

7 0
3 years ago
Read 2 more answers
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