Question

find value of x and YZ if Y is between X and Z
XY=2x+1, YZ =6x, and XZ=81

Answer 1

Answer:

10

Step-by-step explanation:

Answer 2

Applying the segment addition theorem, the value of x = 10

YZ = 60

What is the Segment Addition Theorem?

The segment addition theorem states that if a point, C, lies between two endpoints of a segment, A and B, then: AC + CB = AB.

Given:

XY = 2x+1

YZ = 6x

XZ = 81

Thus:

XY + YZ = XZ (segment addition theorem)

2x + 1 + 6x = 81

Find x

8x = 81 - 1

8x = 80

x = 10

Find YZ:

YZ = 6x

Plug in the value of x

YZ = 6(10)

YZ = 60

Therefore, applying the segment addition theorem, the value of x = 10

YZ = 60

Learn more about the segment addition theorem on:

https://brainly.com/question/1397818