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3 years ago

What is the value of y? Enter your answer in the box. y =

Mathematics

2 answers:

Irina-Kira [14]3 years ago

7 0

Answer:

y = 64

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the given angles and equate to 180

y + 37 + 79 = 180

y + 116 = 180 ( subtract 116 from both sides )

y = 64

Alexxandr [17]3 years ago

6 0

Answer:

180-79-37=101-37=64

y=64 degrees

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Question 1. In the below system, solve for y in the first equation.

Phantasy [73]

Answer for Question (1):

The system of equations: x+3y=6

2x-y=10

Solve the first equation x+3y=6 for y:

Subtracting x on both sides,

x+3y-x=6-x

3y=6-x

Now dividing 3 on both sides, we get

y=2-x/3 = negative one third x + 2

Thus y= negative one third of x +2

Answer for question (2):

The system of equation :

5x-3y=-3 --> (1)

2x-6y=-6 -->(2)

Multiply equation (1) by 2, we get 10x-6y=6.

Subtracting (1) by (2), we get 8x=0 implies x=0.

Plug in x=0 in equation (1), 0-3y=-3

Dividing -3 on both sides,

y=-3/-3=1

So the solution of y is 1.

Answer for Question (3):

System of equation:

7x-2y=-3 (1)

14x+y=14 (2)

Multiply (2) by 2,

28x+2y=28 (3)

Adding (1) and (3), we get 35x=25

Now dividing 35 on both sides, x=25/35=5/7.

Plug in x=5/7 in equation (1), we get 5-2y=-3

-2y=-3-5

-2y=-8

Dividing -2 on both sides,

y=4

Thus the solution of this system of equation as (5/7,4).

Answer for question (4):

x + 3y = 9 ---> (1)

3x − 3y = −13 ---> (2)

Adding equation (1) and (2), we get

4x=-4

Dividing 4 on both sides,

x=-1

Plug in x=-1 in equation (1), we get

-1+3y=9

Adding 1 on both sides,

3y=9+1=10

Now dividing 3 on both sides,

y=10/3.

so the solution is (-1,10/3).

Answer for question (5):

System of equation is 4x − y = 3 (1)

7x − 9y = −2 (2)

consider the first equation 4x-y=3

Adding y on both sides, 4x=3+y

subtracting 3 on both sides, we get y=4x-3

Substitute y=4x-3 in equation (2),

7x-9(4x-3)=-2

7x-36x+27=-2

Combine the like terms,

-29x+27=2

Adding 27 on both sides,

-29x=-29

dividing -29 on both sides,

x=1

Plug in x=1 in y=4x-3,

y=4(1)-3=1

Then the solution is (1,1).

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4 years ago

A) Se, com 10 quilogramas de laranja, é possível fazer 6 litros de suco,

julia-pushkina [17]

Answer:

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Step-by-step explanation:

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3 years ago

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. $\lambda=24$

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is $\frac{1}{\lambda}e^{-\frac{x}{\lambda}}$

The function form according to question is

$f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}$

The probability that X is less than 32 minutes is

$P[x$

Therefore, the probability that X is less than 32 minutes is 0.736.

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3 years ago

How to find y in angle sum theorem

Svetach [21]

Answer:

y = 90°

Step-by-step explanation:

110° is the measure of exterior angle of bigger triangle.

-> (x + x) + 70° = 110° (By exterior angle theorem)

-> 2x = 110° - 70°

-> 2x = 40°

-> x = 40°/2

-> x = 20°

y is the measure of exterior angle of smaller triangle.

-> y = x + 70° (By exterior angle theorem)

-> y = 20° + 70°

-> y = 90°

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2 years ago

Triple my number add six and subtract twice my number my number plus three

Artist 52 [7]

<span>Given situations:
Let my number be X
=> Triple my number = 3x
=> add six = + 6
=> subtract twice my number = -2x
=> my number plus 3 = x + 3
now, that we simplify each given word phrase, we will now create our equation.
=> 3x + 6 – 2x = x + 3
=> 3x – 2x = x + 3 – 6
=> x = x – 3
=> x – x = -3
Where x will be cancelled out, thus, this statement is not valid.</span><span>

</span>

6 0

3 years ago