In the diagram below, AABC~ ADEC. What is the value of x? ܘ ܩܐܛO A. 26O B. 28O C. 22O D. 24

In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
triangles diagram
Step 02:
similar triangles:
we must analyze the diagram to find the solution.
[tex]\frac{42}{6}=\frac{x}{32-x}[/tex]42 (32 - x) = 6x
1344 - 42x = 6x
1344 = 6x + 42x
1344 = 48x
1344 / 48 = x
28 = x
The answer is:
x = 28