Answer
$x = 7.5$
Work Step by Step
According to the side-splitter theorem, if a line is parallel to a side of a triangle and intersects the other two sides, then those two sides are divided proportionately.
Let's set up a proportion for the sides whose values are given in the figure:
$\frac{6}{x} = \frac{8}{10}$
Use the cross product property to get rid of the fractions:
$8x = 60$
Divide each side of the equation by $8$ to solve for $x$:
$x = 7.5$
