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777dan777 [17]
3 years ago
14

Point M is on line segment LN . given LM = 5 and LN = 12, determine the lenght MN

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0
<h3>Answer: MN = 7</h3>

Explanation:

LM + MN = LN by the segment addition postulate. This says we can break up a segment into smaller pieces, and have those pieces add back up to the original length.

Plug LM = 5 and LN = 12 into the equation and isolate MN to get

LM + MN = LN

5 + MN = 12

MN = 12-5

MN = 7

See the diagram below.

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A ferry operator takes tourists to an island.
Oksanka [162]

The fare of $(20 - 2.5) = $17.5 will maximize the total fare.

<h3>What is Differentiation?</h3>

Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.

Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.

It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.

for $x  increase in fare, 20x less people will take the trip and at that time the total fare F is given by  

f(x) =(20 + x)(500 - 20x)

f (x) = 10000 + 100x - 20x²

For f(x) to be maximum, the condition is dy/dx = 0

 100 - 40x = 0

⇒ x = 2.5  

Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.

Learn more about Differentiation from:

brainly.com/question/24062595

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3 0
1 year ago
What is the approximate value of x in the equation below. log_3/4 25 = 3x-1
yuradex [85]

Answer: The approximate value of x is -3.396

Step-by-step explanation:

Given:  

Now,to find the value of x.

Use logarithm rule:  

We have,

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on simplify:

Adding 1 both the sides, we get

Therefore, the approximate value of x for the equation    is  -3.396.

=

Step-by-step explanation:

5 0
2 years ago
please calculate the volume of the cylinder below. use 3.14 as approximation for Pi. (MIDDLE SCHOOL MATH)​
Gnom [1K]

the answer is V≈254.47

3 0
3 years ago
I don’t need help with 17 and 18 only those 4 problems on top plz help me and follow the directions on the top
Dovator [93]
13. 44 + 40 = 84

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5 0
2 years ago
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Given: AB ∥ DC , m CB =62°, m∠DAB=104° Find: m∠DEA, m∠ADB
Snowcat [4.5K]

Answer:

Step-by-step explanation:

sum of angles of parallelogram=360 degrees

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Angle A=104 (DAB=104)

Angle D=180-104=76 degrees (angle ADB)

Angle B=60 degrees

Angle C=180-60=120 (DCB)    

4 0
3 years ago
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