Question

Calculate the length of segment RS¯ with midpoint, M, if RM=5x and MS=x+12.

Answer 1

To find the length of segment RS with midpoint M, we substituted the given values into the midpoint formula and simplified to find the value of M. Then we subtracted the values of the endpoints to find the length of segment RS.

Step-by-step explanation:

To find the length of segment RS with midpoint M, we need to find the values of RM and MS. Given that RM = 5x and MS = x + 12, we can substitute these values into the formula for the midpoint of a line segment. The midpoint formula is: M = (R + S)/2, where R and S are the endpoints of the segment. In this case, R is RM and S is MS. So we can substitute: M = (5x + (x+12))/2. Now we simplify: 2M = 6x + 12 and divide both sides by 2: M = 3x + 6. To find the length of segment RS, we subtract the values of the endpoints: RS = S - R = (x+12) - 5x = -4x + 12.

Answer 2

So M is the midpoint of RS lmbo

Step-by-step explanation:

What you have here are lengths of two equal segments, expressed as different algebraic expressions.

you just set those two expressions equal, and solve for x. Then plug that x into EITHER of the two expressions, to get the equal lengths of RM & MS.