Respuesta :

Answer:

(2,5)

Step-by-step explanation:

[tex]\left(\frac{9-5}{2}, \frac{0+10}{2} \right)=(2,5)[/tex]

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The Midpoint of the Line Segment AB that has the endpoints A(9,0) and B(-5,10) is (2,5).

What is the lie segment?

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

The endpoints of line segment is  A(9,0) and B(-5,10)

So, x₁ = 9

y₁ = 0

x₂ = -5

y₂ = 10

To find the midpoint of AB we have,

{[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}

Put the values, we get

{[(9+(-5) )/2] , [(0+10 )/2]}

solving them,

{(4/2) ,(10/2)}

or,

(2,5)

which is the required midpoint of the line segment.

Hence,the Midpoint of the Line Segment AB that has the endpoints A(9,0) and B(-5,10) is (2,5).

To learn more about midpoint of line segment :

https://brainly.com/question/12774890

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