Question

Calculate the length of segment RS with midpoint M when RM= 2x and MS= x+5.

Answer 1

The length of the line segment RS =120 having midpoint M

Given :

Line segment RS with midpoint M when RM= 2x and MS= x+5.

Midpoint M divides the line equally

So length of RM=MS

Substitute the expressions RM and MS  and solve for x

$RM=MS\\2x=x+5\\Subtract \; x \; on \; both \; sides\\x=5$

Now find out RS using the x value

$RS= RM+MS\\RS=2x+x+5\\RS=3x+5\\RS=3(5)+5\\RS=20$

The length of the line segment RS =120 having midpoint M

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