Answer:
Mid point is: (2.8;4.9)
Step-by-step explanation:
To find midpoint of a line segment we can use the general equation:

Where the point of the line are: (x₁;y₁) and (x₂;y₂).
In the problem, x₁ = 2.6, y₁ = 5.1 and x₂ = 3 and y₂ = 4.7. Replacing in the equation:

<h3>Mid point is: (2.8;4.9)</h3>
53,380 was the average last year .
<u>Step-by-step explanation:</u>
Here we have , So far this year, the average monthly revenue at Lexington Times is 50,711. That is 5% less than the monthly average was last year. We need to find that What was the average last year . Let's find out:
Let the monthly average was last year be x , According to question the average monthly revenue at Lexington Times is 50,711 but , That is 5% less than the monthly average was last year . Following equation for above scenario is :
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Therefore , 53,380 was the average last year .
Answer: A formula that can be used to find the answer is (x Squared = 110.25) So (x times x = 110.25) 10.5 is the length of one side because 10.5 squared = 110.25.
Answer is 10.5
If the polygons are similar, then we can set up a similarity ratio using sides AB and EF and any other 2 sides where both side lengths are given. That appears to be true for sides BC and FG. Our similarity ratio would be this then, going from the bigger polygon stuff on top and the smaller polygon stuff on bottom:
.
If we cross multiply we have 8y = 36 and divide both sides by 8 to get that y = 4.5. There you go!
The distance between park station 1 and the point where the flare was set off is 73.9 km.
<h3>What is distance?</h3>
Distance is the length between two points expressed in meters or kilometers.
To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule
Formula:
- a/sinA = b/sinB....................... Equation 1
Where:
- a = Distance between park station 1 and the point where the flare was set off.
Make a the subject of the equation
- a = bsinA/sinB............ Equation 2
From the diagram,
Given:
- A = 59°
- B = (180-59-75) = 46°
- b = 6.2 km
Substitute these values into equation 2
Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.
Learn more about distance here: brainly.com/question/17273444
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