Question

proof complete the flow proof to prove that if \\( \overline { m n } \cong \overline { p q } \\), \\( m n = 5 x - 10 \\), and \\( p q = 4 x + 10 \\), then \\( m n = 9 0 \\). drag the statements and reasons to complete the proof. given congruent segments have equal lengths; substitution prop. of = \\( x - 1 0 = 1 0 \\)

Explanation:

Step1: Resolver la ecuación \(x - 10=10\)

Sumamos 10 a ambos lados de la ecuación: \(x=10 + 10\)

Step2: Calcular el valor de \(x\)

\(x = 20\)

Step3: Calcular \(MN\)

Dado que \(MN=5x - 10\), sustituimos \(x = 20\): \(MN=5\times20-10\)
\(MN = 100 - 10\)
\(MN=90\)

Answer:

\(MN = 90\)