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lord [1]
2 years ago
9

The angles below are supplementary. What is the value of x?

Mathematics
1 answer:
Natalka [10]2 years ago
4 0

<u>Answer:</u>

  • 12 is the value of x.

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

<u>Supplementary angles: Two angles that sum up to 180°</u>

  • => 6x + 48 + 60 = 180
  • => 6x + 108 = 180
  • => 6x = 180 - 108
  • => 6x = 72
  • => x = 72/6
  • => x = 12

Hence, 12 is the value of x.

BrainiacUser1357

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Given z1 = startroot 2 endroot (cosine (startfraction 3 pi over 4 endfraction) i sine (startfraction 3 pi over 4 endfraction) )
vampirchik [111]

The subtraction of complex numbers z_{1} -z_{2} is cos(π)+i sin(π).

Given z_{1} =\sqrt{2}[cos(3π/4+i sin(3π/4) and z_{2}=cos (π/2) +i sin(π/2)

We have to find the value of z_{1} -z_{2}.

A complex number is a number that includes real number as well as a imaginary unit in which i^{2} =1. It looks like a+ bi.

We have to first solve z_{1} and z_{2} and then we will be able to find the difference.

z_{1} =\sqrt{2}[ cos (3π/4)+i sin (3π/4)]

=\sqrt{2}[cos(π-π/4)+ i sin (π-π/4)]

=\sqrt{2} [-cos(π/4)+sin (π/4)]

=\sqrt{2}(-1/\sqrt{2}+1/\sqrt{2})

=\sqrt{2} *0

=0

z_{2} =cos(π/2)+i sin (π/2)

=0+i*1

=1

Now putting the values of z_{1}  and z_{2},

z_{1} -z_{2} =0-1

=-1

=-1+i*0

=cos (π)+i sin(π)

Hence the value of difference between z_{1} and z_{2} is cos(π)+i sin(π).

Learn more about complex numbers at brainly.com/question/10662770

#SPJ4

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I got 76 for the missing value
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Please help! Find the x intercept and the y intercept of the graph of the equation
soldi70 [24.7K]

Answer:

5y=10-2x

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3 years ago
Hannah was asked to make d the subject of the formula<br> d-7=4d+3/e<br> Finish her question.
tigry1 [53]

Answer:

d = \frac{-1}{e} - \frac{7}{3}

Step-by-step explanation:

In order to make d the subject of the formula, you need to isolate it.

- You started with d-7 = 4d + 3/e

- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...

d - 7 = 4d + 3/e              This will leave you left with -3d - 7 = 3/e

-4d     -4d                          

- Then move over the -7 by adding 7 to both sides...

-3d - 7 = 3/e              This will leave you left with -3d = 3/e + 7

     +7          +7

- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...

d = \frac{3}{-3e} -\frac{7}{3}

- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be

d = \frac{-1}{e} - \frac{7}{3}

5 0
3 years ago
What is the value of b in the equation (y Superscript b Baseline) Superscript 4 Baseline = StartFraction 1 Over y Superscript 24
shusha [124]

The value of b is -6.

Explanation:

The expression is \left(y^{b}\right)^{4}=\frac{1}{y^{24}}

To determine the value of b, we shall solve the expression.

Applying exponent rule, \left(a^{b}\right)^{c}=a^{b c}, we get,

y^{4b}=\frac{1}{y^{24}}

Applying exponent rule, \frac{1}{a^{b}}=a^{-b}, we have,

y^{4b}=y^{-24}

The expression is of the form, a^{f(x)}=a^{g(x)} then f(x)=g(x)

Applying this rule, we get,

4b=-24

Dividing both sides by 4, we have,

b=-6

Hence, the value of b is -6.

4 0
3 years ago
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