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

FE=_
FL=_

Answers:

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.

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.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.