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Question
given m||n, find the value of x. parallel lines and transversal 10% credit until: october 6 at 8:00 am complete: 48% question 2 (6 pts) question 3 (5 pts) question 4 (6 pts) scientific calculator graphing calculator eriel arreley log out answer x =
Step1: Aplicar propiedad de ángulos alternos internos
Como $m\parallel n$, los ángulos $(x - 3)^{\circ}$ y $(4x+3)^{\circ}$ son ángulos alternos internos y son iguales. Entonces, $x - 3=4x + 3$.
Step2: Reorganizar términos
Restar $x$ de ambos lados: $-3=4x - x+ 3$, es decir, $-3 = 3x+3$.
Step3: Isolar la variable
Restar 3 de ambos lados: $-3-3=3x$, o sea, $-6 = 3x$.
Step4: Calcular el valor de x
Dividir ambos lados por 3: $x=\frac{-6}{3}=- 2$.
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$x=-2$