Question

Then find the length. Suppose E is between A and J. Use the segment addition postulate to solve for (EJ) of each segment. (AE = 3), (EJ = 27/2 - 9), (AJ = 9z - 9).

a. (EJ = 9/2)
b. (EJ = 9)
c. (EJ = 27/2)
d. (EJ = 18)

Answer 1

To find the length of segment EJ, use the segment addition postulate and substitute the given values into the equation EJ = AJ - AE. Therefore, the length of segment EJ is 9z - 12.

Step-by-step explanation:

To find the length of segment EJ, we can use the segment addition postulate.

The postulate states that if three points A, E, and J are collinear, then the length of AE plus the length of EJ will be equal to the length of AJ.

We are given that AE = 3, EJ = 27/2 - 9, and AJ = 9z - 9. To solve for EJ, we substitute the given values into the equation:

EJ = AJ - AE

EJ = (9z - 9) - 3

EJ = 9z - 12

Therefore, the length of segment EJ is 9z - 12.