Question

find em.
7x
8x − 6
e
m
g

Explanation:

Step1: Identify segment equality

Since \( M \) is the midpoint (implied by the congruent segments), \( EM = MG \). So \( 7x = 8x - 6 \).

Step2: Solve for \( x \)

Subtract \( 7x \) from both sides: \( 0 = x - 6 \). Add 6 to both sides: \( x = 6 \).

Step3: Calculate \( EM \)

Substitute \( x = 6 \) into \( EM = 7x \): \( EM = 7(6) = 42 \).

Answer:

\( 42 \)