Respuesta :

snapefan11
answer:

x=19
DE=84
EF=36

reasoning:

the sum of DE and EF is 120, so to find the value of each first you find x
find x by adding DE and EF
this gives you the equation (4x+8)+(2x-2)=120
combine like terms and get 6x+6=120
subtract 6 from both sides to get 6x=114
divide both sides by 6 to get x=19

plug 19 into x in both equations to get the values of each length
anuksha0456

From the given information x = 19, and the segments DE = 84 and EF = 36.

What is the length of the line segment formed by the joining of two or more line segments?

The length of the line segment formed by the joining of two or more line segments is the summation of the lengths of all the smaller segments.

How to solve the given question?

In the question, we are shown a line segment DF = 120, made of two smaller segments DE = 4x + 8 and EF = 2x - 2.

As DF is made of DE and EF,

The length of DF = The length of DE + The length of EF

or, 120 = 4x + 8 + 2x - 2

or, 120 = 6x + 6

or, 6x = 120 - 6 = 114

or, x = 114/6 = 19.

Therefore, DE = 4x + 8 = 4(19) + 8 = 76 + 8 = 84

EF = 2x - 2 = 2(19) - 2 = 38 - 2 = 36

Therefore, from the given information x = 19, and the segments DE = 84 and EF = 36.

Learn more about line segments at

https://brainly.com/question/2437195

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