Answer
$x = 3.75$
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:
$\frac{x}{5} = \frac{3}{4}$
Use the cross product property to get rid of the fractions:
$4x = 5(3)$
Evaluate what is in parentheses first:
$4x = 15$
Divide each side of the equation by $4$ to solve for $x$:
$x = 3.75$
