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F(x) = X2 + 9 G(x) = 5x − 3
F(x)=x2 G(x)=2x+1
F(x)=x/2 G(x)=-2x+4
F(x)=x^2 G(x)=2x-5
F(x)=x+2 G(x)=4-3 X H(x)=2x+3

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Question

En el gráfico mostrado, halle el valor de x.

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Solution

Respuesta: x = 16.5°.

Paso 1: La suma de los ángulos internos de un triángulo es 180°. Paso 2: En el triángulo ABC, los ángulos A, B y C suman 180°. Paso 3: Ángulo A = 30° y ángulo C = 37°. Paso 4: Ángulo B = 180° - 30° - 37° = 113°. Paso 5: En un triángulo, el ángulo exterior es igual a la suma de los ángulos interiores no adyacentes. Paso 6: Ángulo D = ángulo B = 113°. Paso 7: En el triángulo ADC, la suma de los ángulos es 180°. Paso 8: 30° + 113° + ángulo D = 180°. Paso 9: 143° + ángulo D = 180°. Paso 10: ángulo D = 180° - 143° = 37°. Paso 11: Como 2x + 4 = ángulo D, entonces 2x + 4 = 37°. Paso 12: 2x = 37° - 4° = 33°. Paso 13: x = 33° / 2 = 16.5°.

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