Mis the midpoint of AB. If the length of the line segment AM is 20, and the length of the line segment MB is 3x +
8, what is the value of x?

Respuesta :

Answer:

x = 4

Step-by-step explanation:

We know that M is the mid-point of AB. So,

AM = BM ( A mid point divides a line segment into 2 equal parts. )

Also it's given that length of AM is 20 & length of BM is 3x + 8.

But as AM = BM ,

[tex]20 = 3x + 8[/tex]

[tex] = > 3x = 20 - 8 = 12[/tex]

[tex] = > x = \frac{12}{3} = 4[/tex]