Question

D is the mid point of segment

ZY. ZY = 40 ZD= 3x +2
Solve for x and find the lengths
of ZD and DY.

Answer 1

x = 6 , ZD = DY = 20

Explanation:

given D is the midpoint of ZY , then

DY = ZD = 3x + 2

and

ZD + DY = ZY ( substitute values )

3x + 2 + 3x + 2 = 40 ( simplify left side )

6x + 4 = 40 ( subtract 4 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Then

ZD = 3x + 2 = 3(6) + 2 = 18 + 2 = 20

DY = ZD = 20