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3 years ago

If m∠PQR=(12x−2)∘, and mPR=(20x−10)∘, what is m∠PQR?a. 137.5b. 70c. 16d. 81

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer:

Step-by-step explanation:

12x - 2 + 20x - 10 = 180

32x - 12 = 180

32x = 192

x = 6

12*6 - 2

72 - 2 = 70

the solution is b

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Solve the system of equations

rewona [7]

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

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Why do scientist collect data

julsineya [31]

As scientists conduct their research, they make observations and collect data. The observations and data often lead them to ask why something is the way it is. Scientists pursue answers to these questions in order to continue with their research.

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3 years ago

Ahmad and Ben have a total of 78 keychains.

Murljashka [212]

Sorry it was tru

2C=B

C-A=6 A=C-6

A+B+C=78

78=C-6+2C+C

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3 years ago

8. Do the following tables represent a linear or non-linear relationship?

Dennis_Churaev [7]

Answer:

the first table is a non-linear relationship and the second table is a linear relation ship because the first table as a curve in its line and it is not straight making it non-linear the second table is linear because it forms a straight line making it linear

Step-by-step explanation:

to find a linear relationship place the points on the graph. then if the they form a straight line then your table is linear

Also to find a nonlinear relation ship place the points that are given to you on a graph and if they are not a straight line then they are a nonlinear relationship

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A particular circle in the standard (x,y) coordinate

matrenka [14]

For any circle with Cartesian equation
$(x-a)^2 + (y-b)^2 = r^2$ ,
we have that the centre of the circle is $(a,b)$ , and the radius of the circle is $r$ .

So in the case that
$(x-5)^2 + y^2 = 38$ ,
we essentially have that
$a = 5, b = 0, r^2 = 38$ .

So the centre of the circle is $(5,0)$ , and the radius is $\sqrt{38}$ .

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