Respuesta :
Answer:
DF = 57
Step-by-step explanation:
From the given information on the line segments we can write the equation
DF = DE + EF ( substituting the values into the equation )
9x - 15 = 4x + 10 + 2x - 1
9x - 15 = 6x + 9 ( subtract 6x from both sides )
3x - 15 = 9 ( add 15 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
DF = 9x - 15 = (9 × 8) - 15 = 72 - 15 = 57
Answer:
DF= 57
Step-by-step explanation:
DE=4x+10 ,EF=2x-1,and DF=9x-15
DF= DE + EF
Now we plug in the expression given for DE, EF and DF in the equation
[tex]DF= DE + EF[/tex]
[tex]9x-15=4x+10+2x-1[/tex]
Now we solve the equation for x
Combine like terms ,
[tex]9x-15=4x+10+2x-1[/tex]
[tex]9x-15=6x+9[/tex]
Subtract 6x from both sides
[tex]3x-15=9[/tex]
Add 15 from both sides
[tex]3x=24[/tex]
Divide both sides by 3
So x= 8
Now we plug in x for 8 in DF
[tex]DF= 9x-15[/tex]
[tex]DF= 9(8)-15=57[/tex]
