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Ad libitum [116K]
2 years ago
12

m∠ABC=(6x+8)° and m∠DEF=(12x−8)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
3 0
<h3>★ <u>Solution:</u></h3>

Since it is given that the two angles are supplementary their sum must be equal to 180 degree

6x + 8 + 12x - 8 = 180°

→ 18x = 180°

→ x = 10°

Now substitute the value of x in the given two measures of angles.

  • m∠ABC = 6x + 8 = 68°
  • m∠DEF = 12x - 8 = 112°

Therefore the 2 angles are <u>68°</u> and <u>112°</u>

<em>Hope</em><em> </em><em>it</em><em> helps</em><em> </em><em>you </em><em> </em>:)

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vladimir1956 [14]
Let the number of contestants is n and the prizes is r
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8 0
3 years ago
Solve on the interval 0,2pi) 2cscx-3=-5
nydimaria [60]
We have that

<span>2cscx-3=-5---------> 2cscx=-5+3---------> cscx=-2/2---------> cscx=-1

we know that
csc x=1/sin x
then
1/sin x=-1--------------> sin x=-1
x=arcsin (-1)---------> x=-90</span>°
x=-90°---------------> 360°-90°-----------> x=270°------------> 3pi/2<span>

the answer is
x=3pi/2 radians



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4 0
3 years ago
What is -24/-11 simplified?
Kisachek [45]

Answer:

2.18 repeating.

Step-by-step explanation:

So it will be 24/11 because the negatives cancel out each other. So the answer is 2.18 repeating.

7 0
3 years ago
Read 2 more answers
¿Cuánto recorre aproximadamente una rueda que da 60 vueltas si ésta tiene un radio de 0.20 m?
damaskus [11]

La rueda recorre una distancia de 75.420 metros tras 60 vueltas. (Correct choice: A)

<h3>Cuánta distancia recorre una rueda que da 60 vueltas?</h3>

La rueda se desplaza sobre el suelo mediante un tipo de movimiento conocido como rodadura, en la que la rueda experimenta rotación y traslación, cuyo centro instantáneo de rotación es el punto de contacto entre la rueda y el suelo.

Si no existe deslizamiento de la rueda con respecto al suelo, entonces la distancia recorrida tras una revolución de la rueda (s), en metros, es descrita por la siguiente ecuación:

s = 2π · r         (1)

Donde r es el radio de la rueda, en metros.

Si tenemos que r = 0.20 m, entonces la distancia recorrida es:

s = 2π · (0.20 m)

s ≈ 1.257 m

Asimismo, la distancia recorrida es directamente proporcional al número de revoluciones de la rueda es y la distancia recorrida tras 60 vueltas es determinada por regla de tres simple:

S = 60 vueltas × (1.257 m / 1 vuelta)

S = 75.420 metros

La rueda recorre una distancia de 75.420 metros tras 60 vueltas.

Para aprender más sobre el movimiento de ruedas: brainly.com/question/2862170

#SPJ1

4 0
9 months ago
John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What i
pochemuha

Answer:

A

Step-by-step explanation:

<em>Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100</em>

<em />

<em>divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.</em>

<em>then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to </em><em>22.50</em><em>.</em>

7 0
2 years ago
Read 2 more answers
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