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Ahat [919]
3 years ago
9

Consider that ΔDEF is similar to ΔGHI and the measure of ∠E is 58°. What is the measure of ∠H?

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Answer:

58 degrees

Step-by-step explanation:

If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.

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Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día an
nadya68 [22]

Responder:

1 hora 55 minutos; 22 horas 45 minutos

Explicación paso a paso:

Dado que:

Tiempo el primer día = 15 minutos

Minutos adicionales cada día siguiente = 5 minutos

Número total de días

Usando la fórmula del enésimo término de una progresión aritmética:

Tn = A + (n - 1) d

A = primer trimestre = 15

d = diferencia común = 5

n = enésimo término

Tiempo de nado el último día (n = 21)

T21 = 15 + (21 - 1) 5

T21 = 15 + 20 * 5

T21 = 15 + 100

T21 = 115 minutos

= 1 hora 55 minutos

SEGUNDO.)

Suma de minutos durante las 3 semanas

Suma de n términos:

Sn = n / 2 * (primer término + último término)

Primer término = 15

Último trimestre = a21 = 115 minutos

n = número de términos = 21

Por lo tanto,

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Sn = 1365 minutos

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