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In the picture shown b and F are midpoints solve for x

In The Picture Shown B And F Are Midpoints Solve For X class=

Sagot :

ANSWER:

x = 10

EXPLANATION:

Given:

Recall that the Midpoint Theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side.

We can go ahead and solve for x as seen below;

[tex]\begin{gathered} BF=\frac{1}{2}*AE \\ \\ 23=\frac{1}{2}*(5x-4) \\ \\ 23*2=5x-4 \\ \\ 46=5x-4 \\ \\ 5x=46+4 \\ \\ 5x=50 \\ \\ x=\frac{50}{5} \\ \\ x=10 \end{gathered}[/tex]

Therefore, the value of x is 10

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