The value of x and length of DE respectively are;
x = 6.6
DE = 16.2
The image of the line segment is missing and so i have attached it.
Looking at the triangle attached, by proportion we can deduce that;
CD/FD = FD/DE
From the triangle we see that;
CD = 5
FD = 9
DE = 2x + 3
Thus;
5/9 = 9/(2x + 3)
Cross multiply to get;
5(2x + 3) = 9 × 9
10x + 15 = 81
10x = 81 - 15
x = 66/10
x = 6.6
Thus;
DE = 2(6.6) + 3
DE = 16.2
Read more about length of line segments at; https://brainly.com/question/14366932
