Respuesta :
Answer: YZ = 13
Point Y is between the points X and Z => XY + YZ = XZ
=> 3x - 4 + 2x + 3 = 24
<=> 5x - 1 = 24
<=> x = (24 + 1) : 5 = 5
with x = 5 => YZ = 2.5 + 3 = 13
Step-by-step explanation:
The length of segment YZ can be found using the segment addition
postulate that specifies the relationship between the segments.
- The numerical length of YZ is 13
Reasons:
The given location of point Y = Between points X and Z
Length of XY = 3·x - 4
Length of YZ = 2·x + 3
Length of XZ = 24
Required:
The length of YZ
Solution:
XY + YZ = XZ according to segment addition postulate
Therefore;
3·x - 4 + 2·x + 3 = 24
Which gives;
5·x - 1 = 24
5·x = 24 + 1
[tex]x = \dfrac{24 + 1}{5} = 5[/tex]
x = 5
YZ = 2·x + 3
Therefore;
YZ = 2 × 5 + 3 = 13
The numerical length of YZ is 13
Learn more here:
https://brainly.com/question/4710687
