A is the midpoint of RM. If RA = 4x+3 and RM = 10x, what is the length of RM?

1 Answer
Oct 28, 2016

The length of RM is #30#.

Explanation:

Since A is the midpoint of RM,

RA #~=# AM

and

RM = RA + AM

Putting all this together, we have

#10x = 4x + 3 + 4x + 3#
#10x = 8x + 6#
#10x - 8x = 8x - 8x + 6#
#2x = 6#
#(2x)/2 = 6/2#

#x = 3#

Now that we know the value of #x#, we can find the length of RM.

RM = #10x#
RM = #10(3)#
RM = #30#