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Luba_88
15 days ago
16

Which statements are true about the graph of y s 3x + 1 and y 2 -x + 2? Check all that apply.

Mathematics
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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
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Answer:

∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S    

Explicación paso a paso:

Dado que en el triángulo RST

\angle R> (\angle s +\angle T)

Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.

En un triángulo, la suma de los tres ángulos es 180°

Por lo tanto, si un ángulo mide  90°, la suma de los otros dos debe ser igual a 90°

Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.

Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.

De lo anterior, se concluye que

Para, \angle R> (\angle s +\angle T)

∵ ∠ R = 120°, por lo tanto es mayor que 90°.

Es decir, ∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

\angle R > \angle S   Respuesta

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Step-by-step explanation:

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