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lara31 [8.8K]
3 years ago
14

En un triángulo obtusángulo, uno de los ángulos mide 20° mas que el otro. El tercer ángulo, mide el doble que el mayor de los do

s que hemos citado. ¿?Cuánto miden los ángulos de dicho triángulo
Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y  el tercer ángulo mide 100°.

Step-by-step explanation:

Siendo "x" el valor de un ángulo del triángulo obtusángulo, sabes que uno de los ángulos, llamado segundo ángulo, mide 20° más que el primero. Este segundo ángulo se representa como x + 20°.

Además, un tercer ángulo mide el doble que el mayor de los dos, que en este caso es el ángulo cuya expresión es x + 20°. Por lo que el doble de este será 2*(x + 20)°, que será la medida del tercer ángulo.

Teniendo en cuenta que la suma de los ángulos interiores de un triángulo es 180°. Entonces, es posible sumar los valores de cada uno de los ángulos e igualarlos a 180°:

x + x + 20° + 2*(x + 20°) = 180°

Resolviendo:

x + x + 20° + 2*x + 2*20° = 180°

x + x + 20° + 2*x + 40° = 180°

4*x + 20° + 40° = 180°

4*x + 60° = 180°

4*x = 180° - 60°

4*x = 120°

x = 120° ÷ 4

x = 30°

Entonces, la medida del primer ángulo es 30°. El segundo ángulo es calculado como x + 20° = 30° + 20° = 50° mientras que  el tercer ángulo es 2*(x + 20°) = 2*(30° + 20°) = 2*(50°) = 100°

<u><em>La medida del primer ángulo es 30°, la medida del segundo ángulo es 50° y  el tercer ángulo mide 100°.</em></u>

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<h3>What is a slope?</h3>

The slope of a line is found by dividing the "vertical change" by the "horizontal change" between (any) two distinct places on the line. The ratio is sometimes stated as a quotient ("rise over run"), yielding the same value each time.

Given,

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The equation of a line whose slope and point of intersection are known is given by:

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Where m is the slope of the line and (x₁, y₁) is the point it passes through.

Let L be our needed line.

We've been told that (x₁, y₁) = (7,4).

We also know that the line L is perpendicular to another line L₁, whose equation is:

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As a result, the equation for the required line is: y - y₁= m (x - x₁)

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Height of the tower is, h=112\ ft

Felix drops the penny while Oscar throws his penny.

Time taken by Oscar's penny to reach ground is, t_o=2\ s

Now, as Oscar throws his penny, there will be some initial velocity of his penny. Let the initial velocity of his penny be u_o.

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Therefore, time taken by Felix's penny to reach ground is 2.64 s.

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