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erastovalidia [21]
3 years ago
11

DE=4x+10,EF=2x-1,and DF=9x-15 find DF

Mathematics
2 answers:
inn [45]3 years ago
6 0

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


Marrrta [24]3 years ago
3 0

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

DF= DE + EF

9x-15=4x+10+2x-1

Now we solve the equation for x

Combine like terms ,

9x-15=4x+10+2x-1

9x-15=6x+9

Subtract 6x from both sides

3x-15=9

Add 15 from both sides

3x=24

Divide both sides by 3

So x= 8

Now we plug in x for 8 in DF

DF= 9x-15

DF= 9(8)-15=57

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