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Leviafan [203]
3 years ago
8

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Train Station is located a

t (13,15) and the Bus Station is located at (5,1). The Tourist Information Center is located at point
x=___
y=___
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

X = 9 and Y = 8

Step-by-step explanation:

We are to find the midpoint of the coordinates  (13,15) and  (5,1).

Using the midpoint formula;

M(X, Y) = [(x1+x2)/2, (y1+y2)/2]

X = (x1+x2)/2

Y = (y1+y2)/2

From the coordinates, x1 = 13, y1 = 15, x2 = 5 and y2 = 1

X = 13+5/2

X = 18/2

X = 9

Similarly;

Y = 15+1/2

Y = 16/2

Y = 8

Hence The Tourist Information Center is located at point X = 9 and Y = 8

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In the isosceles triangle, find a and b if you knew the perimeter was 20x+35
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Answer:

a=8

b=17

Step-by-step explanation:

Isoceles means we will have 2 congruent sides in this triangle.

So it appears we are to assume it is sitting on its base which means that other side has measurement ax+9 as well

So we have the sum of the 3 sides is the perimeter.

That means we have the equation:

(ax+9)+(ax+9)+(4x+b)=20x+35

Combine like terms:

(a+a+4)x+(9+9+b)=20x+35

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This implies 2a+4=20 and 18+b=35.

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