Question

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

Answer 1

x = 10

Step-by-step 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;

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

Therefore, the value of x is 10