sharon_penn
What is the value of x in the diagram?
(1 point)
1/2
4/21
2
4



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sharon_penn
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tkhunny
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If those red arrows mean those lines are parallel, we have some similar triangles (AAA). Where does that leave us?

sharon_penn
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not real sure :(

sharon_penn
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can someone walk me through it?

sharon_penn
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please?

Directrix
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Theorem: If a line is parallel to one side of a triangle and intersects the other two, then it divides them proportionately.

Directrix
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That means:
9 is to (4x  2) as 12 is to (3x + 2)

Directrix
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Or,
9/ (4x  2) = 12/ (3x + 2)
Cross multiply and solve for x.

Directrix
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To help you get started,
9(3x + 2) = 12(4x  2)