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sertanlavr [38]
3 years ago
12

What is the measure of angle QRS in this figure

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

C. 132°

Step-by-step explanation:

Based on exterior angle theorem,

(20x + 12) = (9x) + (13x)

Solve for x

20x + 12 = 9x + 13x

20x + 12 = 22x

Subtract 20x from each side

12 = 22x - 20x

12 = 2x

Divide both sides by 2

12/2 = x

x = 6

m<QRS = 20x + 12

Plug in the value of x

m<QRS = 20(6) + 12 = 120 + 12

m<QRS = 132°

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Consider two boxes, one containing one black and one white marble, the other, two black and one white marble. A box is selected
valina [46]

Answer:

\frac{7}{12}

Step-by-step explanation:

Probability refers to chance of happening of some event.

Conditional probability is the probability of an event A, given that another event B has already occurred.

B_1,B_2 denote the two boxes.

In box B_1:

No. of black balls = 1

No. of white balls = 1

In box B_2:

No. of black balls = 2

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Let B, W denote black and white marble.

So, probability that either of the boxes B_1,B_2 is chosen is \frac{1}{2}

Probability that a black ball is chosen from box B_1 = \frac{1}{2}

Probability that a black ball is chosen from box B_2=\frac{2}{3}

To find:probability that the marble is black

Solution:

Probability that the marble is black = \frac{1}{2}(\frac{1}{2} )+\frac{1}{2}(\frac{2}{3})=\frac{1}{4}+\frac{1}{3}=\frac{7}{12}

6 0
3 years ago
Find the geometric mean of 25 and 100.<br> A. 50<br> B. 62.5<br> C. 1250<br> D. 2500
Debora [2.8K]
<h3>Answer: Choice A) 50</h3>

For two numbers x and y, the geometric mean is G = sqrt(x*y)

In this case, x = 25 and y = 100, so

G = sqrt(x*y)

G = sqrt(25*100)

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3 years ago
The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers.
Vikki [24]

The smaller number is 7 and the greater number is 11.

Step-by-step explanation:

Let,

x be the smaller number

y be the greater number

According to given statement;

x+y=18     Eqn 1

y+2x=25    Eqn 2

Subtracting Eqn 1 from Eqn 2

(y+2x)-(x+y)=25-18\\y+2x-x-y=7\\x=7

Putting x=7 in Eqn 1

7+y=18\\y=18-7\\y=11

The smaller number is 7 and the greater number is 11.

Keywords: numbers, linear equation

Learn more about linear equations at:

  • brainly.com/question/11203617
  • brainly.com/question/11253316

#LearnwithBrainly

6 0
3 years ago
The rate at which a quantity of a radioactive substance decays is proportional to the quantity of the substance. The constant of
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Answer:

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Step-by-step explanation:

Summarizing  the information briefly and stating the  variables in the problem.

t = time elapsed during the decay

N(t) = the amount of the radioactive substance remaining after time t

λ= The constant of proportionality  is called the decay constant or decay rate

Given the initial conditions

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The rate at which a quantity of a radioactive substance decays (\frac{dN}{dt}) is proportional to the quantity of the substance (N)  and λ is the constant of proportionality  is called the decay constant or decay rate :

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N(t) = N₀e^(λt) ......equ 1

substituting the value of  N₀ = 6 into equation 1

N(t) = 6e^(λt)

3 0
3 years ago
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