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Dafna1 [17]
3 years ago
14

I need help finding the missing angle with work plz ANSWER ASAP!!!!!!

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

The unknown angle is 80

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

Let the unknown angle be x

20+80+x = 180

Add like terms

100+x = 180

Subtract 100 from each side

100-100+x=180-100

x = 80

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Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit
dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

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(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

n^k=10^5=100,000

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

3 0
3 years ago
Billie and toni are driving from chicago to phoenix. the first day they drove 420 miles. they want to drive at 65 miles per hour
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Let x represents the numbers of hours that Billie and Toni are driving after first day and ‘Y’ represent the distance they have passed distance  

Y=420+65

And, first day they traveled : 410 mi  

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3rd day they traveled =65.8=520

By the end of the third they traveled= 420+520=520

1460 mi


7 0
3 years ago
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