Question

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

Answer 1

The value of the DF is 57.

Given that,

The DE is 4x + 10.

The EF is 2x - 1.

The DF is 9x - 15

We know that

DF = DE + EF

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

9x - 15 = 6x + 9

9x - 6x = 9 + 15

3x = 24

x = 8

Since the value of the DF is

= 9x - 15

= 9(8) - 15

= 72 - 15

= 57

Therefore, we can conclude that the value of the DF is 57.

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Answer 2

We have that  DF is mathematically given as

DF=57

From the question we are told that

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

Generally the equation for the DF  is mathematically given as

$DF=DE+EF\\\\ 9x-15= 4x + 10+2x-1$

solving equation we have that

x=8

Therefore

$DF=9(8)-15\\\\DF=57$

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