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Serggg [28]
3 years ago
8

Find the exact value of x

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

ΔABC and ΔCBD are similar. Therefore we have the proportion:

\dfrac{AB}{BC}=\dfrac{BC}{BD}\\\\AB=6;\ BC=x;\ BD=2

Substitute:

\dfrac{6}{x}=\dfrac{x}{2}    <em>cross multiply</em>

(x)(x)=(6)(2)\\\\x^2=12\to x=\sqrt{12}\\\\x=\sqrt{4\cdot3}\\\\x=\sqrt4\cdot\sqrt3\\\\\boxed{x=2\sqrt3}

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The function would be 12.50+.45x
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3 years ago
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Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

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3 years ago
Brianna asks classmates how many pencils and erasers they carry in their bags. The mean number of pencils is 11. The mean number
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Answer:

Only about 1/3 of the pencils have erasers.

3 0
3 years ago
Which of the following points could be added to the graph f(x)=-|x+3| to keep the graph a function?
sasho [114]

None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

<h3>How to determine the point?</h3>

The equation of the function is given as:

f(x) = - |x + 3|

The points are given as:

(0, 3) and (-3, -6)

When x = 0, we have:

f(0) = - |0 + 3|

f(0) = -3 --- different y value from (0, 3)

When x = -3, we have:

f(-3) = - |-3 + 3|

f(-3) = 0 --- different y value from (-3, -6)

This means that the x values point to different y values (this does not represent a function)

Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

Read more about functions and relations at:

brainly.com/question/2328150

#SPJ1

6 0
2 years ago
Can u help me part 3..
Studentka2010 [4]
Yup I can! (For the third time ;) )
This one was a bit tricky for me, So I am 90% sure ;)
Answer: 336pi in^2

Explanation: The explanation is quite long, so I won't go into much detail :) Just keep the formula in mind!! :>

If available please give me a Branliest. It would be much appreciated.

- Mathhotdog •~•
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