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The midpoint of a line segment ab is (1, 2). point a coordinates are (3,-3)
and point b coordinates are (x, 7). find the value of x.


Sagot :

The value of x in (x,7) is -1

Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.

Let one end point of line segment be A(a,b) and other end be B(c,d)

then its mid point X(x,y) will be given by [tex]x=\frac{a+c}{2} , y=\frac{b+d}{2}[/tex]...….(1)

Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)

The  mid point [tex](1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )[/tex]...............using (1)

On comparing the x coordinate we get

[tex]1=\frac{3+x}{2}[/tex]

On cross multiplying we get

[tex]2=3+x[/tex]

On solving further

[tex]x=-1[/tex]

Therefore ,  the value of x in (x,7) is -1.

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