Question

Determine the value of X

AB is the mid segment of triangle LMN. Determine the value of X

Answer 1

Answer:

B.  4

Step-by-step explanation:

Since ,AB is the mid segment of triangle LMN

Then

$\Longleftrightarrow AB=\frac{MN}{2}$

$\Longleftrightarrow x+8=\frac{5x+4}{2}$

$\Longleftrightarrow 2\times(x+8)=5x+4$

$\Longleftrightarrow 2x+16=5x+4$

$\Longleftrightarrow 16-4=5x-2x$

$\Longleftrightarrow 3x=12$

$\Longleftrightarrow x=\frac{12}{3}=4$