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

Answers

Answer 1

Answer:

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

∵ [tex]\frac{5x}{5}[/tex] = [tex]\frac{25}{5}[/tex]

x = 5

The value of x is 5

∵ YZ = x

∵ x = 5

∴ YZ = 5

The length of YZ is 5 units


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