Answer:
26
Explanation:
The two tick marks on line segment CD and line segment DE tell us that they are of equal length. This means that:
2x + 7 = 4(x-3).
All we need to do is find the value of x, and then find the length of line segment DE.
Finding the Value of X
First, let's start by distributing the 4 to the number in the parentheses:
2x + 7 = 4x - 12
Move like terms to one side
2x - 4x = -12 - 7
-2x = -19
Divide both sides by 2
x = 19/2
Finding the Length of DE
Substituting this value of x into the expression, we find:
4(19/2 - 3) = 4(9 1/2 - 3) = 4(6 1/2) = 4(13/2) = 26