Question

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

Answer 1

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

$AM=MB\\\\\Rightarrow 50-3x=-20+4x\\\\\Rightarrow 4x+3x=50+20\\\\\Rightarrow 7x=70\\\\\Rightarrow x=\dfrac{70}{7}\\\\\Rightarrow x=10.$

Therefore, the value of AM is calculated as follows :

$AM=50-3x=50-3\times10=50-30=20.$

Thus, the length of AM is 20 units.

Answer 2

The answer to your question is 20