The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The distance traveled by passenger train = 245 miles
The distance traveled by freight train = 245 miles
The time takes for both trains is the same.
Let's suppose the rate of the passenger train is x and the rate of the freight train is y;
As we know,
Distance = speed×time
245/x = 200/y
200x = 245y
200x - 245y = 0 ..(1)
x = 15 + y ..(2)
Equations (1) and (2) represent the situation.
After solving equations (1) and (2):

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.
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The answer is A because in a triangle, the angles need to add up to 180 degrees. In the triangle, the missing angle would be 65 because 180 - (75 + 40) = 65. Now you know the missing angle in the triangle is 65. But you’re trying to find the other angle that would make this pair supplementary (180 degrees). You would do 180 - 65 to get your answer to the problem of 115 or A.
Answer:
17/12 or mixed mixed number form is 1 5/12
Step-by-step explanation: all u do is add them :)
The probability of hitting the third ring is the same as finding what percentage is the area of the third ring out of the total area of the board.
The area of the third ring = The total area of the board - The area of the second circle.
Refer to the diagram below
The diameter for the whole circle = 32 in
The radius = 16 in
The area of the whole circle = π(16)² = 256π
The diameter for the second circle = 22 in
The radius = 11 in
The area of the second circle = π(11)² = 121π
The area of the third ring = 256π - 121π = 135π
Area of the third ring as a percentage of the total area =

= 52.7%
Answer:
Given the statement: For a person standing 100 m from the center of the base of the excel tower, the angle of elevation to the top of the tower is 71.6 degrees.
Let h be the height of the Eiffel tower.
Angle of elevation is, 
Distance of boy standing from the center of the base of the Eiffel tower is, 100 m.
Using tangent ratio:

From the given figure as shown;
Solve for h;

Multiply both sides by 100 we have;

or

Simplify:

therefore, the height of the Eiffel tower is, 300m