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Vikentia [17]
3 years ago
8

You know only the given information about

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Since they are multiples if 12

The possibilities are

12, 12, 156

12,24,144

12,36,132

12,48,120

12,60,108

12,72,96

12,84,84

24,24,132

24,36,120

24,48,108

24,60,96

24,72,84

36,36,108

36,48,96

36,60,84

36,72,72

48,48,84

48,60,72

60,60,60

Hence the probability is 1/19 or 0.0526

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
vampirchik [111]
<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

If an angle is 40.2^{\circ} more than its complementary angle, the measure of that angle is a +40.2. The sum of both angles are expressed a +(a +40.2) but since the have to add to 90 as they are complementary, a +(a +40.2) = 90.

Solving for a:

a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9

Since the other angle measures a +40.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +40.2:

a +40.2 \\ 24.9 +40.2 \\ 65.1

The measure of the angles are 24.9^{\circ} and 65.1^{\circ}

4 0
3 years ago
A study examined the alertness benefits of higher caffeine intake. In the study, the researchers investigated the link between d
Katyanochek1 [597]

Answer: B. The data represent a sample since the data are a subset of units.

Step-by-step explanation:

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Here,

Population = Participants for the study were those who used a popular social networking Web site.

Since the entire data for the "persons used a popular social networking Web site" is not possible.

There have been taken a sample of them.

∴ Correct answer is B. The data represent a sample since the data are a subset of units.

3 0
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The dot plot shows the number of pets owned by the students in jay of class
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Answer:

where is the graph ?

3 0
3 years ago
Read 2 more answers
​3x-2≤5(x+2) . show all steps please.
Natasha_Volkova [10]

Answer:

-6 ≤x

Step-by-step explanation:

3x-2≤5(x+2)

Distribute

3x-2≤5x+10

Subtract 3x

3x-2-3x≤5x +10-3x  

-2 ≤2x+10

Subtract 10 from each side

-2-10 ≤2x+10-10

-12 ≤2x

Divide by 2

-12/2≤2x/2

-6 ≤x

3 0
3 years ago
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2. El perimetro de un rectangulo es 64 pies. Su largo es 12 pies mas que 3 veces su ancho. Halla las dimensiones del rectangulo
Afina-wow [57]
Ancho= x
Largo= 3x+12 ("12 pies más (adición) que 3 veces (multiplicación) su ancho (x)")

<span>En el problema incluyen el perímetro (la suma de todos los lados de una figura). </span>En un rectángulo, los lados opuestos son congruentes, así que para calcular el valor de x, tenemos que sumar nuestras ecuaciones.

(3x+12)+(3x+12)+x+x=64
8x=64-24
x=40/8
x=5

Luego lo único que queda hacer es substituir el valor de x en cada ecuación para calcular los valores que te piden.



4 0
3 years ago
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