Question

11 use the diagram to answer the question below.
jm = 3x + 15 and mk = 4x
if m is the midpoint of \\(\overline{jk}\\), solve for \\(\overline{jm}\\)
jm = \\(square\\)

Explanation:

Step1: Use midpoint property

Since M is the midpoint of \( \overline{JK} \), \( JM = MK \).
So, \( 3x + 15 = 4x \).

Step2: Solve for x

Subtract \( 3x \) from both sides:
\( 15 = 4x - 3x \)
\( x = 15 \).

Step3: Find JM

Substitute \( x = 15 \) into \( JM = 3x + 15 \):
\( JM = 3(15) + 15 \)
\( JM = 45 + 15 \)
\( JM = 60 \).

Answer:

60