cafemom71
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Solve for x.
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Solve For X Need Help Please class=

Sagot :

Given:

The figure of a triangle with mid segment.

To find:

The value of x.

Solution:

According to triangle mid-segment theorem, the mid-segment of a triangle is parallel to the base and the length of the mid-segment is half of the base.

Using the triangle mid-segment theorem, we get

[tex]AB=\dfrac{1}{2}EG[/tex]

[tex]x+14=\dfrac{1}{2}(17+x)[/tex]

[tex]2(x+14)=17+x[/tex]

[tex]2(x)+2(14)=17+x[/tex]

On further simplification, we get

[tex]2x+28=17+x[/tex]

[tex]2x-x=17-28[/tex]

[tex]x=-11[/tex]

Therefore, the value of x is -11.

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