Question

Point e is between points d and f. If DE=x-4,EF=2x+5 and DF=4x-8, find x number 17 help please

Answer 1

DF =DE + EF
4x-8 = x-4 + 2x+5 
4x - 8 = 3x + 1
4x - 3x = 1 + 8
x = 9

Answer 2

Answer:  The required value of x is 9.

Step-by-step explanation:  Given that point E is between the points D and F.

Also, DE = x - 4, EF = 2x + 5  and DF = 4x - 8.

We are to find the value of x.

Since the point E lies between the points D and F, so we must have

$DE+EF=DF\\\\\Rightarrow (x-4)+(2x+5)=4x-8\\\\\Rightarrow 3x+1=4x-8\\\\\Rightarrow 4x-3x=1+8\\\\\Rightarrow x=9.$

Thus, the required value of x is 9.