Answer:
• x=5
,• AB=64 units
Explanation:
If M is the midpoint of AB, it means M divides AB into two equal parts, AM and MB.
Given:
• AM = 7x – 3
,• MB = 5x + 7
[tex]\begin{gathered} AM=MB \\ 7x-3=5x+7 \\ 7x-5x=7+3 \\ 2x=10 \\ x=5 \end{gathered}[/tex]To find the length of AB, we first substitute x in AM.
[tex]\begin{gathered} AM=7x-3 \\ =7(5)-3 \\ =35-3 \\ =32\text{ units} \end{gathered}[/tex]Therefore:
[tex]\begin{gathered} AB=AM\times2 \\ =32\times2 \\ =64\text{ Units} \end{gathered}[/tex]