A line segment can be divided into equal or unequal segments
The values of x, AQ and QX are 5, 11 and 14.
The given parameters are:
[tex]\mathbf{AX = 25}[/tex]
[tex]\mathbf{AQ = 2y + 1}[/tex]
[tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AX = 25}[/tex] can be rewritten as:
[tex]\mathbf{AQ + QX =25}[/tex]
Substitute values for AQ and QX
[tex]\mathbf{2y + 1 + 3y - 1 =25}[/tex]
Execute like terms
[tex]\mathbf{5y =25}[/tex]
Divide both sides by 5
[tex]\mathbf{y =5}[/tex]
Substitute 5 for y in [tex]\mathbf{AQ = 2y + 1}[/tex] and [tex]\mathbf{QX = 3y - 1}[/tex]
[tex]\mathbf{AQ = 2 \times 5 + 1 = 11}[/tex]
[tex]\mathbf{QX = 3 \times 5 - 1 = 14}[/tex]
Hence, the values of x, AQ and QX are 5, 11 and 14.
Read more about line segments at:
https://brainly.com/question/18983323
