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2 years ago

01. Se tienen los angulos consecutivos AOB, BOC y COD. se cumple m& AOC=125° m

Mathematics

1 answer:

Citrus2011 [14]2 years ago

8 0

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

<h3>Cómo analizar tres ángulos consecutivos</h3>

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125° (1)

∠BOC + ∠COD = 100° (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°. $\blacksquare$

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD (3)

∠AOB + ∠BOC - ∠COD = 40° (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. $\blacksquare$

Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/21209282

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Which of the following fractions have repeating decimal representations? Which have terminating decimal representations?

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Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.

<h3>What is decimal?</h3>

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.

Here,

Repeating decimal representation,

=3/13, 7/24

Terminating decimal representation,

=3/16, 4/125

3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.

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1 year ago

What is the area of the composite figure

lara [203]

Answer:

Area of composite figure = 216 cm²

Hence, option A is correct.

Step-by-step explanation:

The composite figure consists of two figures.

1) Rectangle

2) Right-angled Triangle

We need to determine the area of the composite figure, so we need to find the area of an individual figure.

Determining the area of the rectangle:

Given

Length l = 14 cm

Width w = 12 cm

Using the formula to determine the area of the rectangle:

A = wl

substituting l = 14 and w = 12

A = (12)(14)

A = 168 cm²

Determining the area of the right-triangle:

Given

Base b = 8 cm

Height h = 12 cm

Using the formula to determine the area of the right-triangle:

A = 1/2 × b × h

A = 1/2 × 8 × 12

A = 4 × 12

A = 48 cm²

Thus, the area of the figure is:

Area of composite figure = Rectangle Area + Right-triangle Area

= 168 cm² + 48 cm²

= 216 cm²

Therefore,

Area of composite figure = 216 cm²

Hence, option A is correct.

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3 years ago

Describe the translation of f(x) = |x|.

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Answer:

y=|x|

Here's a graph if needed.

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3 years ago

Joyce paid $20.00 for an item at the store that was 75 percent off the original price. What was the

sesenic [268]

Answer:

Step-by-step explanation:

just multiply 75% by 20.00

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3 years ago

Read 2 more answers

Antonio's toy boat is bobbing in the water under a dock. The vertical distance HHH (in \text{cm}cmstart text, c, m, end text) be

musickatia [10]

Answer: Time t = 33.0 seconds

Step-by-step explanation:

Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function

H(t) = 5cos( 2π/3 t) − 35.5H

Where the maximum vertical distance = 5

At the down position, H(t) = 0

5cos( 2π/3 t) − (35.5/100)H = 0

5cos( 2π/3 t) − 0.355 × 5 =0

5cos( 2π/3 t) − 0.1775 = 0

5cos( 2π/3 t) = 0.1775

cos( 2π/3 t) = 0.1775/5

cos( 2π/3 t) = 0.355

2π/3 t = cos^-1 (0.355)

2π/3 t = 69.2

2πt = 69.2 × 3

2πt = 207.6

t = 207.6/2π

t = 33.0 seconds

3 0

3 years ago

Read 2 more answers

01. Se tienen los angulos consecutivos AOB, BOC y COD. se cumple m& AOC=125° m ​

01. Se tienen los angulos consecutivos AOB, BOC y COD. se cumple m& AOC=125° m