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Sonja [21]
1 year ago
6

Calcular el valor del ángulo que falta de dun triangulo rectangulo si uno de sus lados mide 25 grados.

Mathematics
1 answer:
Blizzard [7]1 year ago
8 0

Considerando la definición de triángulo rectángulo y sus propiedades, el valor del ángulo que falta de un triángulo rectángulo es 65°.

<h3>Definición de triángulo</h3>

Un triángulo es un polígono que está determinado por tres segmentos de recta que se denominan lados, o por tres puntos no alineados llamados vértices.

En otras palabras, un triángulo es un polígono conformado por tres lados, así como por tres vértices y tres ángulos interiores.

Una de las propiedades de cualquier triángulo indica que la suma de los ángulos interiores es igual a 180°.

<h3>Definición de triángulo rectángulo</h3>

El triángulo rectángulo es una figura geométrica que se considera como un polígono formado por tres lados que forman un ángulo recto y dos ángulos agudos.

En otras palabras, el triángulo rectángulo es aquel que tiene un ángulo interior que es recto, es decir, mide 90º.

<h3>Valor del ángulo faltante en este caso</h3>

En este caso, sabes que:

  • Al ser un triángulo rectángulo, un ángulo interior mide 90°.
  • Otro ángulo interior mide 25°.
  • La suma de los ángulos interiores es igual a 180°.

Entonces, el valor del ángulo faltante se puede calcular mediante:

90° + 25° + ángulo faltante= 180°

Resolviendo:

115° + ángulo faltante= 180°

ángulo faltante= 180° - 115°

<u><em>ángulo faltante= 65°</em></u>

Finalmente, el valor del ángulo que falta de un triángulo rectángulo es 65°.

Aprende más sobre los ángulos de un triángulo:

brainly.com/question/21439270

brainly.com/question/21729438

brainly.com/question/27901271

#SPJ1

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seraphim [82]

Answer: $19.02

Step-by-step explanation:

First find the sales tax paid. It will be paid on the cost of the meal:

= 14.20 * 8%

= $1.14

Then find the tip which was done after the sales tax was added:

= 24% * (14.20 + 1.14)

= 24% * 15.34

= $3.68

The total cost is:

= Gross amount + Sales tax + tip

= 14.20 + 1.14 + 3.68

= $19.02

3 0
3 years ago
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kkurt [141]
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5 0
3 years ago
2x+4=18 <br> what does 'x' equal?
astra-53 [7]

Answer:

7

Step-by-step explanation:

18-4

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5 0
3 years ago
Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.
gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

\frac{3^{n+4} - 3^n}{16}

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

\frac{3^{n+4} - 3^n}{16} becomes

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Factorize

\frac{3^n(3^4 - 1)}{16}

\frac{3^n(81 - 1)}{16}

\frac{3^n(80)}{16}

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

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3 years ago
Find the slope of the line that passes through (-11, 75) and (27, -9).
Marrrta [24]

Answer:

\frac{y__2-y__1}{x__2-x__1}

y = -9 + 75 = 66

x = 27-(-11) = 27 + 11 = 38

slope = 66/28

5 0
2 years ago
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