Intersection of the first two lines:
Multiply the first equation by 4 and the second by 5:
Subtract the two equations:
Plug this value for y in one of the equation, for example the first:
So, the first point of intersection is 
We can find the intersection of the other two lines in the same way: we start with
Use the fact that x and y are the same to rewrite the second equation as
And since x and y are the same, the second point is 
So, we're looking for a line passing through and . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be 
In the attached figure, line 
is light green, line 
is dark green, and their intersection is point A.
Simiarly, line 
is red, line 
is orange, and their intersection is B.
As you can see, the line connecting A and B is the red line itself.
8/10 = 4/5 would be the answer
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Sum of the interior angles of any triangle is 180° .
Thus ;
Subtract sides 138°
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Answer:
The average speed of the plain was 800 miles/h.
Step-by-step explanation:
To solve this problem we first need to convert the time the tain took to finish the journey to hours. To do that we will divide the part that is in minutes by 60 and sum to the part that is in hours, we have:
time = 3 + 33/60 = 3 + 0.55 = 3.55 hours
The average speed is given by the following formula:
average speed = distance/time
average speed = 2840/3.55 = 800 miles/h
The average speed of the plain was 800 miles/h.
Answer: D
Step-by-step explanation:
Using the equation y = mx + b.
m represents the slope
b represents where the line crosses the y axis.
We can attempt to set up the equation given in the same way.
x - y = 0
Add y to both sides and the 0 can drop out.
x = y
This is also equal to:
y = x
In this equation the m is equal to 1 and the b is equal to 0.
Taking this into account the answer is D.
