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Genrish500 [490]
2 years ago
12

Given rs || qp, what is the value of x?

Mathematics
2 answers:
myrzilka [38]2 years ago
5 0

In the given figure,

Angle 108° + 12x = 180°

because they for pair of co- interior angles which are supplementary.

so,

  • 12x + 108\degree = 180\degree

  • 12x = 180\degree - 108\degree

  • 12x = 72\degree

  • x =  \dfrac{72\degree}{12}

  • x = 6\degree

hence , value of x = 6°

GrogVix [38]2 years ago
4 0

Answer:

12x + 108 = 180 \\  \\ 12x = 180 - 108 \\  \\ 12x = 72 \\  \\ x =  \frac{72}{12}  \\  \\ x = 6

it's is a co - inter angle they sum are 180

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In ΔMNO NM = 3 cm, NO = 4 cm and MO = 5 cm. List the angles in order from smallest to largest.
solong [7]

Answer:

NM, NO, MO

Step-by-step explanation:

The length of the triangle can determine the angle size.

5 0
3 years ago
Am I right. if not please show me work thx.
Drupady [299]
If you're talking about #3, then the equation would be 10+12.50h=5+15h.
h will equal 2, and the cost for that number of hours would then be $35.

8 0
3 years ago
Read 2 more answers
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two
Tom [10]

Answer:

E (X) = 1.8

Var (X) = 0.36

σ = 0.6

Step-by-step explanation:

Solution:-

- Denote the random variable X : is the number of red marbles that Suzan has in her hand after she selects three marbles.

- Total sample space (bag) have the following quantity of colored marbles:

                Bag : { 3 Red , 2 Green }

- Suzan selects three marbles from the bag. The Event (X) defines the number of red marbles out of 3.

- The total number of outcomes / selections for randomly selecting 3 balls from the bag:

               All outcomes = 5 C 3 = 10

- The probability distribution of the random variable X, we will use combinations to determine the required probabilities:

  X = 1 red marble:

        P ( X = 1 ) : Suzan chooses 1 Red marble from the available 3 red marble and 2 green marbles.

        P ( X = 1 ) = [ 3C1*2C2 ] / all outcomes = (3*1) / 10 = 0.3

X = 2 red marble:

        P ( X = 2 ) : Suzan chooses 2 Red marble from the available 3 red marble and 1 green marbles.

        P ( X = 2 ) = [ 3C2*2C1 ] / all outcomes = (3*2) / 10 = 0.6

X = 3 red marble:

        P ( X = 3 ) : Suzan chooses 3 Red marble from the available 3 red marble.

        P ( X = 3 ) = [ 3C3] / all outcomes = (1) / 10 = 0.1

- The probability distribution is as follows:

          X :         1                 2                3

       P (X):       0.3            0.6              0.1

- The expected value E(X) for the given random variable X is:

                E ( X ) = ∑Xi*P(Xi)

                           = 1*0.3 + 2*0.6 + 3*0.1

                           =1.8

- The variance Var(X) for the given random variable X is:

                Var ( X ) = ∑Xi^2*P(Xi) - [ E(X) ] ^2

                               = 1^2*0.3 + 2^2*0.6 + 3^2*0.1 - 1.8^2

                               = 0.36

- The standard deviation for the given random variable X is:

                σ = √Var(X)

                σ = √0.36

                σ = 0.6

5 0
4 years ago
PLS HELP ASAP FOR BRAINLIEST
rodikova [14]

Answer:

y=3

Step-by-step explanation:

it is because X=-2 had crossed the point y=3

hope this help you!!!! ;))))))

3 0
3 years ago
Help sense No one understands.
Blababa [14]
I think either 3 or 7

7 0
3 years ago
Read 2 more answers
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