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

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Answer 1 · 2016-10-28T01:46:03

The length of RM is #30#.

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#