Respuesta :

AreenA
Mid point is found by summation of x
Then divide by 2
And same for y

Since mid point for x is 8
So x+(-9) /2 = 8
X - 9 = 16
X=16+9
X= 25

Answer:

the value of [tex]x[/tex] is 25.

Step-by-step explanation:

Givens

  • The midpoint is between (x,6) and (-9,14).
  • The midpoint is at (8,10).

Now, the formula of a midpoint is

[tex]M=(\frac{x_{1} +x_{2} }{2} ,\frac{y_{1}+y_{2} }{2} )[/tex]

Where [tex]M=(8,10)[/tex]

This means that

[tex]\frac{x_{1} +x_{2} }{2}=8\\ \frac{y_{1} +y_{2} }{2}=10[/tex]

Replacing each horizontal coordinate and solving for [tex]x[/tex]

[tex]\frac{x +(-9) }{2}=8\\x-9=16\\x=16+9\\x=25[/tex]

Therefore, the value of [tex]x[/tex] is 25.

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