Find the value of x and YZ if Y is between X and Z.
XY = 4x, YZ = x, and XZ
25

The value of x is 5

The length of YZ is 5 units

Step-by-step explanation:

If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment

Let us use this fact to solve the question

∵ Point Y is between points X and Z

→ By using the fact above

∴ XY + YZ = XZ

∵ XY = 4x and XZ = x

∵ XZ = 25

→ Substitute then in the equation above

∴ 4x + x = 25

→ Add the like terms in the left side

∴ 5x = 25

→ Divide both sides by 5 to find x

∵ =

∴ x = 5

∴ The value of x is 5

∵ YZ = x

∵ x = 5

∴ YZ = 5

∴ The length of YZ is 5 units

answear:

a

step-by-step explanation: a