Find the value of the variable. if Y is between X and Z. segment XY = 4a and segment YZ = 9a and segment XZ = 6a+24

Step-by-step explanation:

Kindly refer to the attached for the values labelled to the line XZ.

The point Y is in between XZ.

It can be clearly observed that XZ is made up of sum of two lines XY and YZ.

So, we can write:

XZ = XY + YZ ....... (1)

We are given the values of line segments:

XY = 4a

YZ = 9a and

XZ = 6a+24

To find: Value of variable 'a'.

Solution:

Putting all the values in equation (1):

So, value of variable is

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.