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Lady_Fox [76]
3 years ago
9

One of the angles formed by two intersecting lines is 30°. What is the measure of the other three angles?

Mathematics
1 answer:
lianna [129]3 years ago
6 0

Since opposite angles on an intersecting line(s) are equal, you already know one of the three angles are 30° because one of the given angles is 30°. To find other two angles, add the two 30°s together to get 60° and subtract that from 360° because all the angles combined have to equal 360°, which is 300°. To get each angle separately, divide 360 by 2, which is 150. Thus, the measure of the other three angles angles are 30°, 150°, and 150°.

Hope this helps!

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En el estante de un negocio hay 2 tipos de tarros de la misma mermelada y marca. El tarro más alto tiene el doble de altura que
Ipatiy [6.2K]

Answer:

tarro corto

Step-by-step explanation:

Aquí tenemos que comprar el frasco que tiene el menor costo por volumen.

h_1 = Altura del frasco corto

h_2 = La altura del frasco alto es el doble que el del frasco corto. = 2h_1

d_1 = Diámetro del frasco corto

d_2 = El diámetro del frasco alto es la mitad del frasco corto = \dfrac{1}{2}d_1

El volumen de un cilindro es \pi \dfrac{d^2}{4}h

La razón de los volúmenes de los frascos es

\dfrac{V_1}{V_2}=\dfrac{\pi\dfrac{d_1^2}{4}h_1}{\pi\dfrac{d_2^2}{4}h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{d_2^2h_2}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{(\dfrac{1}{2}d_1)^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{d_1^2h_1}{\dfrac{1}{4}d_1^22h_1}\\\Rightarrow \dfrac{V_1}{V_2}=\dfrac{1}{\dfrac{1}{2}}\\\Rightarrow \dfrac{V_1}{V_2}=2\\\Rightarrow V_1=2V_2

El costo del frasco corto por unidad de volumen es

\dfrac{8000}{V_1}=\dfrac{8000}{2V_2}=\dfrac{4000}{V_2}

El costo del frasco alto por unidad de volumen es

\dfrac{4500}{V_2}=\dfrac{4500}{V_2}

\dfrac{4000}{V_2}

Entonces, el costo del frasco corto por unidad de volumen es menor que el costo por unidad de volumen del frasco alto.

Por lo tanto, deberíamos tomar el frasco corto.

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If the quotient of a number and 6 is added to 1/3, the result is 7/6. Find the number.
lisabon 2012 [21]

The number is 4.

<h3>What is the Quotient?</h3>

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

Let n be the number in question; then, we can write the word problem as an equation like this:

⇒ (n/6) + 1/3 = 7/6

Multiply everything by the least common multiple of all the denominators (6, 3, 6), which is 6.  

⇒ 6(n/6) + 9(1/3) = 6(7/6)

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Subtract 3 from both sides,

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Hence, the number is 4.

Learn more about the quotient here:

brainly.com/question/27796160

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2 years ago
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Olegator [25]

Based on the capacity of the container and the capacity currently being used, the amount of water in the container is <u>3/8 gallons. </u>

The container is capable of holding 1/2 gallons of water.

If it is holding 3/4 of that 1/2 gallons, the amount of water it would be holding is:

<em>= Capacity of container x Percentage full </em>

= 1/2 x 3/4

= 3/8 gallons of water

In conclusion, the container is currently holding 3/8 gallons of water.

<em>Find out more about this at brainly.com/question/11459708. </em>

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