Question

question 12
lesson 1-2 practice: line segments
find the measure of \\(\overline{de}\\).
incorrect
1 try left. try once more
diagram: line segment with points c, d, e; cd labeled \\(2x + 7\\), de labeled \\(4(x - 3)\\), d is midpoint (tick marks on cd and de)
units

Explanation:

Step1: Set CD = DE (since D is midpoint)

$2x + 7 = 4x - 3$

Step2: Solve for x

Subtract $2x$: $7 = 2x - 3$
Add 3: $10 = 2x$
Divide by 2: $x = 5$

Step3: Substitute x into DE's expression

$DE = 4x - 3 = 4(5) - 3 = 20 - 3 = 17$

Answer:

17