Question

PLEASE HELP AND EXPLAIN!!! I WILL MARK BRAINLIEST AND THANK YOU!!! If DF = 42, find DE.

Answer 1

Answer:

29

Step-by-step explanation:

So DF = 42, And we know that DF = DE + EF

Therefore (7x+1) + (4x-3) = 42

11x -2 = 42

11x = 44

x = 4

Substitute x = 4 onto DE equation, so 7(4) +1

= 29.

Answer 2

Answer:  The required length of DE is 29.

Step-by-step explanation:  We are given that DF = 42 in the figure shown.

We are to find the length of DE.

From the figure, we note that

$DE=7x+1,~~EF=4x-3.$

According to the given information, we have

$DF=42\\\\\Rightarrow DE+EF=42\\\\\Rightarrow 7x+1+4x-3=42\\\\\Rightarrow 11x=42+2\\\\\Rightarrow 11x=44\\\\\Rightarrow x=\dfrac{44}{11}\\\\\Rightarrow x=4.$

Therefore, we get

$DE=7x+1=7\times4+1=28+1=29.$

Thus, the required length of DE is 29.