solve for $x$. round your answer to the nearest tenth if necessary.\n\nanswer attempt 1 out of 2\n$x = $

Explanation:

Step1: Identify similar triangles

$\triangle NOF \sim \triangle NLM$ (corresponding angles equal, as $OF \parallel LM$)

Step2: Set up proportion of sides

$\frac{x}{x + 11.3} = \frac{12.5}{12.5 + 7.5}$

Step3: Simplify denominator on right

$\frac{x}{x + 11.3} = \frac{12.5}{20}$

Step4: Cross-multiply to solve for $x$

$20x = 12.5(x + 11.3)$ $20x = 12.5x + 141.25$ $20x - 12.5x = 141.25$ $7.5x = 141.25$ $x = \frac{141.25}{7.5}$

Step5: Calculate and round to nearest tenth

$x \approx 18.8$

Answer:

$18.8$