Question

PLEASE HELP ASAP
In the diagram, DE KL
Determine the length of FE and FL (show all work)!!!!!

FE=_______
FL=_______

Answer 1

Answers:

• FE = 10
• FL = 4.8

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Explanation:

I'm assuming you meant to say that DE is parallel to KL.

If so, then that means triangle DEF is similar to triangle LKF.

From here, we can set up the proportion:

DE/DF = LK/FL

Plug in the given values and solve for FL.

DE/DF = LK/FL

15/12 = 6/FL

15FL = 12*6

15FL = 72

FL = 72/15

FL = 4.8

Segment FL is exactly 4.8 units long.

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We'll do the same idea for segment FE.

DE/FE = LK/KF

15/FE = 6/4

15/FE = 1.5

15 = 1.5*FE

FE = 15/(1.5)

FE = 10

Segment FE is exactly 10 units long.