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What is the value/expression for the side length highlighted in green.

What Is The Valueexpression For The Side Length Highlighted In Green class=

Sagot :

Answer:

15

Step-by-step explanation:

The parallel lines divide the transversals proportionally.

The green length = 24 - c , then

[tex]\frac{24-c}{20}[/tex] = [tex]\frac{c}{12}[/tex] ( cross- multiply )

12(24 - c) = 20c ← distribute left side

288 - 12c = 20c ( add 12c to both sides )

288 = 32c ( divide both sides by 32 )

9 = c

Then

green length = 24 - 9 = 15

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