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ahrayia [7]
3 years ago
6

If m∠ACD = 136° and m∠B = 42°, Find m∠A.

Mathematics
1 answer:
miss Akunina [59]3 years ago
3 0

Answer:

2°

Step-by-step explanation:

Hello

I see you are very confused by this problem. However, there is an easy way to solve this one.

It has been proved that the sum of all angles in a rectangle is always 180°. Here is a way to prove it:

x y

_______A_________

/\

/ \

/ \

/ \

___/_______ \__

B C

we have two parellel lines xy and BC. It is true that:

xAy = 180°

xAB + BAC + CAy = xAy = 180

xAB = ABC

CAy= ACB

=> ........

I'll let you finish with your great intellect ^_^

HOPE YOU LEARN WITH JOY AND GOOD GRADE

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Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
lisov135 [29]

Answer:

P(X = 0) = 0.03125

P(X = 1) = 0.15625

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P(X = 3) = 0.3125

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Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

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Fair coin:

Equally as likely to be heads or tails, so p = 0.5

5 tosses:

This means that n = 5

Probability distribution:

Probability of each outcome, so:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125

P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625

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P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125

P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

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