Question

What is the value of x?

Answer 1

Thanks to the Triangle Proportionality Theorem, we know that the division the line creates divides the sections proportionally. Thus, we can use ratios to help solve this problem.
$\frac{6}{30} = \frac{3x - 2}{50}$
Multiply both sides by 50.
$\frac{300}{30} = 3x - 2$
Simplify the left side.
$10 = 3x - 2$
Add 2 to both sides.
$12 = 3x$
Divide both sides by 3.
$4 = x$
Therefore, x is equal to 4.