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3 years ago

Triangle abc has angle measures as shown What is the value of x? Show your work.

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

Answer:

x=31

<c = 93

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

<a +<b + <c = 180

35+ 52+3(x+2) = 180

Combine like terms

87+3(x+2) = 180

Subtract 87 from each side

87-87 +3(x+2) = 180-87

3(x+2) =93

Divide each side by 3

3(x+2)/3 = 93/3

x+2 = 31

Subtract 2 from each side

x+2-2 = 31-2

x = 29

Substitute x into the expression for angle c

<c = 3(x+2)

=3(29+2)

= 3(31)

=93

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3 years ago

Question 4 of 10, Step 1 of 1 1/out of 10 Correct Certify Completion Icon Tries remaining:0 The Magazine Mass Marketing Company

erastovalidia [21]

Answer:

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

Step-by-step explanation:

For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

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.

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

And p is the probability of X happening.

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They know that the probability of receiving a magazine subscription order with an entry form is 0.5.

This means that $p = 0.5$

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At most 3 including an order, which is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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3 years ago

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netineya [11]

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