The value of the missing length is 20
Let the missing length be x
From Parallel lines and transversal theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Then, we can write that
[tex]\frac{x}{15} =\frac{16}{12}[/tex]
∴ [tex]x = \frac{15\times 16}{12}[/tex]
x = 20
Hence, the value of the missing length is 20
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