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galben [10]
3 years ago
5

∠xangle, x and ∠ y ∠yangle, y are supplementary angles. ∠ y ∠yangle, y measures 13 9 ∘ 139 ∘ 139, degrees. What is the measure o

f ∠ x ∠xangle, x
Mathematics
2 answers:
ANEK [815]3 years ago
7 0

Answer:

41 degrees

Step-by-step explanation:

Answer:

41°

Step-by-step explanation:

Supplementary angles are angles that has their sum total of angles as 180°.

If two angles ∠x and ∠ y are supplementary, this means

∠x+∠y = 180° ... (1)

Since ∠y = 139°, to get ∠x, we will substitute the value of ∠y in equation 1 to have;

∠x + 139° = 180°

∠x = 180°-139°

∠x = 41°

Therefore the measure of ∠x is 41°

Elena-2011 [213]3 years ago
4 0

Answer:

41°

Step-by-step explanation:

Supplementary angles are angles that has their sum total of angles as 180°.

If two angles ∠x and ∠ y are supplementary, this means

∠x+∠y = 180° ... (1)

Since ∠y = 139°, to get ∠x, we will substitute the value of ∠y in equation 1 to have;

∠x + 139° = 180°

∠x = 180°-139°

∠x = 41°

Therefore the measure of ∠x is 41°

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kherson [118]

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

45 boxes, which means that N = 45

22 have the secret decoder ring, which means that k = 22

Two boxes, which means that n = 2

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333

0.2333 = 23.33% probability that both of them have the secret decoder ring

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3 years ago
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zepelin [54]

Answer:

88%

Step-by-step explanation:

No Johnny boy did not

6 0
3 years ago
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