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Aleksandr [31]
4 years ago
7

Somebody please help

Mathematics
1 answer:
JulijaS [17]4 years ago
8 0

Answer:

The measure of PQR is 133 degrees

Step-by-step explanation:

<u>Step 1:  Make an expression</u>

Since these angles are supplementary, that means that they add up to 180 degrees.

3x - 5 + x + 1 = 180

<u>Step 2:  Combine like terms</u>

3x <u>- 5</u> + x <u>+ 1</u> = 180

4x - 4 = 180

<u>Step 3:  Add 4 to both sides</u>

4x - 4 + 4 = 180 + 4

4x = 184

<u>Step 4:  Divide both sides by 4</u>

4x / 4 = 184 / 4

x = 46

<u>Step 5:  Find the measure of PQR</u>

PQR = 3x - 5

PQR = 3(46) - 5

PQR = 138 - 5

PQR = 133

Answer:  The measure of PQR is 133 degrees

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MATH HELP???
marin [14]
<h2>Answer:</h2>

The quadratic function are:

 option: A   A)  y(y + 4) - y = 6

 Option: C   C.)  4b(b) = 0

<h2>Step-by-step explanation:</h2>

We know that the general equation of a quadratic equation in terms of a variable x is given by:

   ax^2+bx+c=0

A)

y(y + 4) - y = 6

On simplifying the terms we have:

   y^2+4y-y=6\\\\y^2+3y-6=0

Hence, option: A is correct.

B)

(3x + 2) + (6x - 1) = 0

(3x + 2) + (6x - 1) = 0\\\\i.e.\\\\3x+2+6x-1=0\\\\i.e.\\\\3x+6x+2-1=0\\\\i.e.\\\\9x+1=0

Hence, it is a linear equation.

Hence, option: B is incorrect.

C)

4b(b) = 0

it could also be written as:

4b^2=0

Hence, it is a quadratic equation.

Hence, option: C is correct.

D)

3a - 7 = 2(7a - 3)

3a-7 = 2(7a-3)\\\\i.e.\\\\3a-7=14a-6\\\\\\i.e.\\\\14a-6-3a+7=0\\\\i.e.\\\\14a-3a-6+7=0\\\\i.e.\\\\11a+1=0

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Hence, option: D is incorrect.

6 0
4 years ago
Solve (-5/2)x ‐ 5 = -55
Dmitry_Shevchenko [17]

Answer: 5

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5 0
3 years ago
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Mars2501 [29]

Answer:

The probability that all the five flights are delayed is 0.2073.

Step-by-step explanation:

Let <em>X</em> = number of domestic flights delayed at JFK airport.

The probability of a domestic flight being delayed at the JFK airport is, P (X) = <em>p</em> = 0.27.

A random sample of <em>n</em> = 5 flights are selected at JFK airport.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={5\choose x}0.27^{x}(1-0.27)^{5-x};\ x=0,1,2...

Compute the probability that all the five flights are delayed as follows:

P(X=5)={5\choose 5}0.27^{5}(1-0.27)^{5-5}=1\times 1\times 0.207307=0.2073

Thus, the probability that all the five flights are delayed is 0.2073.

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