Answer:
Hence, the value of:
zy=20
Step-by-step explanation:
It is given that:
wz is perpendicular to vy.
Also wz bisects vy.
We are asked to find the length of the segment zy?
Such that we are given:
vz=2x+4 , zy=3x-4
Since wz bisects vy that means it divides line segment vy into two equal lengths. i.e. vz=zy
Also,
vz=2x+4 and zy=3x-4
Hence,
2x+4=3x-4
⇒ 3x-2x=4+4 ( since taking variable term to one side of the equation and constant term to the other)
⇒ x=8
Hence, the length of segment zy is:
3x-4=3×8-4
3x-4=24-4=20
Hence, the length of zy is 20
