Respuesta :
Answer: The length of AM is 20 units.
Step-by-step explanation: We are given that the point M is the midpoint of segment AB, where
AM = 50 – 3x and MB = –20 + 4x.
We are to find the length of AM.
Since M is the midpoint of the segment AB, so we must have
[tex]AM=MB\\\\\Rightarrow 50-3x=-20+4x\\\\\Rightarrow 4x+3x=50+20\\\\\Rightarrow 7x=70\\\\\Rightarrow x=\dfrac{70}{7}\\\\\Rightarrow x=10.[/tex]
Therefore, the value of AM is calculated as follows :
[tex]AM=50-3x=50-3\times10=50-30=20.[/tex]
Thus, the length of AM is 20 units.
