Question

solve for x:
(there is a triangle with a line segment parallel to the base, dividing the left side into 4 and 16, the base is 24, and the segment parallel to the base is labeled x)

Explanation:

Step1: Set up proportion for similar triangles

$\frac{4}{4+16} = \frac{x}{24}$

Step2: Simplify the denominator

$\frac{4}{20} = \frac{x}{24}$

Step3: Simplify the left fraction

$\frac{1}{5} = \frac{x}{24}$

Step4: Solve for x by cross-multiplying

$x = \frac{24}{5}$

Answer:

$4.8$