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. [tex] \frac{6}{30} = \frac{3x - 2}{50} [/tex] Multiply both sides by 50. [tex]\frac{300}{30} = 3x - 2[/tex] Simplify the left side. [tex]10 = 3x - 2[/tex] Add 2 to both sides. [tex]12 = 3x[/tex] Divide both sides by 3. [tex]4 = x[/tex] Therefore, x is equal to 4.
