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2 years ago

14

Which theorem is correct

2 answers:

kogti [31]2 years ago

5 0

Answer:

The SSS theorem

Step-by-step explanation:

Aleks [24]2 years ago

5 0

Answer:

SAS Theorem

Step-by-step explanation:

You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.

This is because you already know that two of the sides are congruent since <u>AB and CD were shown to be congruent in the image</u>, and <u>AC and CA are congruent because they're shared</u>. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know <u>∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel</u>.

*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.

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Last year, a person wrote 126 checks. Let the random variable x represent the number of checks he wrote in one day, and assume

Arisa [49]

Answer: The mean number of checks written per day $=0.3452$

Standard deviation $=0.5875$

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Step-by-step explanation:

Given : The total number of checks wrote by person in a year = 126

Assume that the year is not a leap year.

Then 1 year = 365 days

Let the random variable x represent the number of checks he wrote in one day.

Then , the mean number of checks wrote by person each days id=s given by :-

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Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. $\sigma^2=\lambda=0.3452$

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2 years ago

An archaeologist earns $9147 monthly. Determine the amount he is paid annually.

Mnenie [13.5K]

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2 years ago

What are the domain and range of f(x)=log(x-1)+2?

marta [7]

Answer: Domain = $(-1, \infty)$

Range = $(-\infty, \infty)$

Step-by-step explanation:

Here, the given function,

$f(x) = log(x-1) + 2$

Since log( negative number ) = not defined

Also,

$log(0) = -\infty$

Hence, f(x) is defined if x - 1 > 0

⇒ x > 1

Thus, f(x) is defined for all the values that are greater than 1,

⇒ Domain of f(x) = All real number greater than 1,

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Now, for the interval $(1, \infty)$ ,

f(x) can be any real number.

Thus, the range of the given function = $(-\infty, \infty)$

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2 years ago

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