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3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :) Find the measure of ∠WZX. Show your work.

Mathematics

2 answers:

Soloha48 [4]3 years ago

7 0

The exterior opposite angle is the same as the sum of the alternate interior angles.

We can write an expression and solve for x.

(18x + 5) = 48 + (8x - 3)

~Remove parenthesis

18x + 5 = 48 + 8x - 3

~Combine like terms

18x + 5 = 45 + 8x

~Subtract 5 to both sides

18x + 5 - 5 = 45 + 8x - 5

~Simplify

18x = 40 + 8x

~Subtract 8x to both sides

18x - 8x = 40 + 8x - 8x

~Simplify

10x = 40

~Divide 10 to both sides

10x/10 = 40/10

~Simplify

x = 4

Now, substitute to find ∠WZX

18x + 5

18(4) + 5

72 + 5

Therefore, the answer is 77°

Best of Luck!

givi [52]3 years ago

4 0

Answer:

Step-by-step explanation:

48+8x-3=18x+5

45-5=18x-8x

40=10x

x=4

18*4+5=77

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3 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

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Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

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