Calculate the length of segment RS with midpoint, M , if RM = 5x and MS = x + 12. A. 3 B. 25 C. 30

Question

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

A. 3

B. 25

C. 30

D. 36

E. 15

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Nho 6 months 2021-07-23T08:57:31+00:00 1 Answers 31 views 0

Answers ( )

    0
    2021-07-23T08:59:21+00:00

    Answer:

    the full segment is:  30 units long

    which coincides with answer C in your list

    Explanation:

    If M is the midpoint, then it divides the segment in two equal parts. Then, we can say that:

    RM = MS (equality among the two parts of the divided segment)

    replacing RM with “5 x” and MS with “x + 12”, we get:

    5 x = x + 12

    solving for x:

    5 x – x = 12

    4 x = 12

    then x = 3

    With this info, we can calculate the length of each half of the segment and consequently its full length:

    RM = 5 x = 5 (3) = 15

    then the full segment is:  30 units long

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