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irinina [24]
2 years ago
6

The measure of angle Q is 75 degrees. Find the measure of angle P

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
5 0

Answer:

m<P = 30°

Step-by-step explanation:

∆PQR has two equal sides. An isosceles ∆ has two equal sides and the angles opposite the two equal sides are congruent to each other.

Thus, we can conclude that ∆PQR is an isosceles ∆ with two equal base angles, <P and <Q.

Since m<Q = 75°, therefore, m<R = 75°.

m<P = 180 - (75 + 75) (sum of ∆)

m<P = 30°

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cupoosta [38]

Answer:

x = 73

x = -35

Step-by-step explanation:

Here are the 8 numbers:

34, 31, 15, x, 17, 4, 20, 25

Here are the 8 numbers in ascending order with x as the greatest number:

4, 15, 17, 20, 25, 31, 34, x

x - 4 = 69

x = 73

Here are the 8 numbers in ascending order with x as the smallest number:

x, 4, 15, 17, 20, 25, 31, 34

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Answer:

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8 0
2 years ago
En un pueblo hay tres iglesias cuyas campanas tocan cada 15 minutos, cada 20 minutos y cada 35 minutos. Suponiendo que en este i
34kurt

Answer:

420 minutos

Step-by-step explanation:

Resolvemos esta pregunta utilizando el método mínimo común múltiple

Encontramos los múltiplos de 15, 20 y 35

Múltiplos de 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450

Múltiplos de 20:

20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460

Múltiplos de 35:

35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490

Por lo tanto,

MCM (15, 20, 35) = 420

El primer múltiplo común es el mínimo común múltiplo.

Por tanto, el tiempo en el que las 3 campanas de la iglesia volverán a coincidir = 420 minutos

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2 years ago
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Answer:

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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14

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48

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3 years ago
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