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Nataly [62]
3 years ago
13

Find each measure Please help me

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

∠ YXW = ∠ ZXV ( vertically opposite angles ) , so

4a + 15 = 2a + 65 ( subtract 2a from both sides )

2a + 15 = 65 ( subtract 15 from both sides )

2a = 50 ( divide both sides by 2 )

a = 25

Then

(7)

∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°

(8)

∠ YXW = ∠ ZXV = 115°

∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is

(9)

∠ ZXY = 180° - 115° = 65°

(10)

∠ VXW = ∠ ZXY = 65° ( vertically opposite angles

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4 x 10^6 is how many times large then 1 x 10^4
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Answer:

<h2>400</h2>

Step-by-step explanation:

4\times10^6\text{ is how many times large than}\ 1 \times 10^4?\\\\\dfrac{4\times10^6}{1\times10^4}=\dfrac{4}{1}\times\dfrac{10^6}{10^4}=4\times10^{6-4}=4\times10^2=4\times100=400

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For each ordered pair, determine whether it is a solution to the system of equations.
-Dominant- [34]

The only ordered pair that is a solution to the given system of equations is (-2, -6)

<h3>System of Linear Equations </h3>

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

  • For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

  • For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

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6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

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-9 ≠ 8

Thus, (0, 3) is not a solution

  • For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

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Thus, (-5,4) is not a solution

  • For  (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

Learn more on System of equations here: brainly.com/question/8630769

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Step-by-step explanation:

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<span>y-10 = -5/4x + 30/4 represents a linear function; we know that because both x and y have the power 1.

We could put this equation into one of several forms.

Suppose we wanted to put it into slope-intercept form.  Then </span><span>y-10 = -5/4x + 30/4 becomes y = 10 + 30/4 - (5/4)x, or y = 35/2 - (5/4)x.  Thus, this line has the slope -5/4 and the y-intercept (0, 35/2).

If this isn't quite what you wanted, then please share the instructions.

</span>
7 0
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