Question

Point M is the midpoint of segment AB. If AM = 50 – 3x and MB = –20 + 4x, find the value of AM

Answer 1

The answer to your question is 20

Answer 2

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

`AM=MB\\\\\Rightarrow 50-3x=-20+4x\\\\\Rightarrow 4x+3x=50+20\\\\\Rightarrow 7x=70\\\\\Rightarrow x=(70)/(7)\\\\\Rightarrow x=10.`

Therefore, the value of AM is calculated as follows :

`AM=50-3x=50-3*10=50-30=20.`

Thus, the length of AM is 20 units.