If DF =61 and EF = 18 find DE

DE = 79

Concept:

Here, we need to know the idea of segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that points D, E, F are collinear, thus they would form a segment and F would be the point between D and E. If it was, you may refer to my answers. If it was not, you may tell me and I will redo it.

Given information

DF = 61

EF = 18

Given expression deducted from the segment addition postulate

DE = DF + EF

Substitute values into the expression

DE = (61) + (18)

Simplify by addition

Hope this helps!! :)

Please let me know if you have any questions

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get