Respuesta :

baabaagreysheep

Your answer would be 28.

We can find this by first forming the equation 3x + 2 = 5x - 6, as P is the midpoint and so DP = PE.

3x + 2 = 5x - 6

- 3x

2 = 2x - 6

+ 6

8 = 2x

÷ 2

x = 4

Now we substitute in 4 when we add together (3x + 2) + (5x - 6), as these two parts make up the whole line:

(3 × 4) + 2 + (5 × 4) - 6 = 12 + 2 + 20 - 6 = 34 - 6 = 28

I hope this helps!

qabtt

Since P is the midpoint of the segment [tex] \overline{\mathrm{DE}} [/tex],we can say that the two smaller segments are equal to each other:

3x + 2 = 5x - 6

2 = 2x - 6

8 = 2x

4 = x

The length of [tex] \overline{\mathrm{DE}} [/tex] would be the sum of the two smaller segments:

3x + 2 + 5x - 6 = 8x - 4

Thus, the length of [tex] \overline{\mathrm{DE}} [/tex] is:

[tex] 8(4) - 4 = \boxed{28} [/tex]