Sure! Let's go through the problem step by step:
Step 1: Understanding the Perpendicular Bisector Theorem
The perpendicular bisector theorem states that any point on the perpendicular bisector of a segment is equidistant from the segment's endpoints. Conversely, if a point is equidistant from the endpoints of a segment, it lies on the perpendicular bisector of that segment.
Step 2: Defining the Problem
Let's denote:
- [tex]\( x \)[/tex] as our variable.
- We are given the expression [tex]\( 7x + 24 \)[/tex].
Step 3: Solving for [tex]\( 7x + 24 \)[/tex]
To solve the expression [tex]\( 7x + 24 \)[/tex], let's interpret it as follows:
Consider the equation [tex]\(7x + 24\)[/tex]. This is a linear equation in terms of [tex]\( x \)[/tex].
Step-by-step:
1. First, let's understand the linear equation. It's in the form [tex]\( ax + b \)[/tex] where [tex]\(a\)[/tex] is the coefficient of [tex]\(x\)[/tex] and [tex]\(b\)[/tex] is the constant term.
2. In our specific case, here [tex]\( a = 7 \)[/tex], and [tex]\( b = 24 \)[/tex].
Step 4: Writing the Final Result
Based on our calculations, the expression [tex]\( 7x + 24 \)[/tex] is the final result. This is a linear function representing a line with a slope of 7 and a y-intercept of 24. Thus, the value remains [tex]\( 7x + 24 \)[/tex].
Ultimately, the value we seek for [tex]\( 7x + 24 \)[/tex] is simply [tex]\( 7x + 24 \)[/tex].
