Question

find the measure of (overline{de}). diagram: points c, d, e on a line, (cd = 2x + 7), (de = 4x - 3), with a box labeled units for the answer.

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: Find DE (substitute x=5 into 4x - 3)

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

Answer:

17