Find the measure of angles A and B in the diagrams below.​

the awnser 2=2=2=2=22=2=2=2=2=2+0+7867+

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Explanation:

We use De Moivre's Theorem. It says that if you started with

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

then raising both sides to the nth power leads to

[tex]z^n = r^n*\left[\cos\left(n*\theta\right)+i*\sin\left(n*\theta\right)\right][/tex]

The term out front r is raised to the nth power. We also have copies of n inside the trig functions.

The square root operation undoes the squaring operation, so we'll be dealing with n = 2.

If you were to go through each answer choice, then you'll find that squaring choice B will lead to the original expression given.

[tex]z = \sqrt{3}*\left[\cos\left(\frac{\pi}{4}\right)+i*\sin\left(\frac{\pi}{4}\right)\right]\\\\\\z^2 = (\sqrt{3})^2*\left[\cos\left(2*\frac{\pi}{4}\right)+i*\sin\left(2*\frac{\pi}{4}\right)\right]\\\\\\z^2 = 3*\left[\cos\left(\frac{\pi}{2}\right)+i*\sin\left(\frac{\pi}{2}\right)\right]\\\\\\[/tex]

Note that working this process in reverse means we apply the square root and we'll go from the expression in choice B to the original expression again.

The complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number in the trigonometric form:

Z = √(3[cosπ/2 + i sinπ/2])

It is required to find the square root of the complex number.

To find the square root of the complex number we can use the De Moivre's theorem:

If

Z = r[cosθ + i sinθ]

Zⁿ = rⁿ[cosnθ + i sinnθ]

Using the above theorem:

Z =  √3[cos[(1/2)π/2] + i sin[(1/2)π/2]]

Z =  √3[cosπ/4 + i sinπ/4]

Thus, the complex number Z =  √3[cosπ/4 + i sinπ/4] represents the complex number √(3[cosπ/2 + i sinπ/2]) after using the De Moivre's theorem option (B) is correct.

Learn more about the complex number here:

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Answer:

Well if you add up all 3 angles in a triangle you’d get 180 degrees as the answer.

So we can. Jus substitute.

For number 19 you can do this

57+x+x+87+50=180

Now combine like terms

194+2x=180

Now solve

x=-7

Now we can subsitute that into angle A

57+ (-7) which is 50

Measure of angle A is 50.

For number 19 it’s the same thing.

9x+14+16x-4+80=180

Now combine like terms

25x+90=180

Solve

25x= 90

x= 3.6

Now subsitue for A

3.6*9+4 which is 36.4

A is 36.4

Answer:

B' (3, 1 )

Step-by-step explanation:

Given

A (- 1, 3 ) → A' (- 3, 7 )

x- coordinate goes from - 1 → - 3 , that is - 2

y- coordinate goes from 3 → 7 , that is + 4

Translation rule is (x, y ) → (x - 2, y + 4 ) , then

B (5, - 3 ) → B' (5 - 2, - 3 + 4 ) → B' (3, - 1 )

Answer:

non so cosa intendi per intero

Step-by-step explanation:

Può essere più preciso?

Answer:

10.50

Step-by-step explanation:

Answer:

she will pay $10.50 in sales tax and $160.50 in total

Step-by-step explanation:

first, find 7% of 150.

150*.07=10.5

add 10.5 to the total

Answer:

the value of x is a number but you can say 1 when you are factorising quadratic expression with the terms

Answer:

x=17

y=10

Step-by-step explanation:

Answer:

answer choice is B

Step-by-step explanation:

Answer:

x = 2.7

Step-by-step explanation:

5.4 = 2x

2x = 5.4

Divide both sides by 2.

x = 2.7

Answer: x= 2.7

1. Divide 2 on both sides

2. cancel terms who have the same numerator and denominator

Answer:

The answer is ">"

Step-by-step explanation:

I took the quiz epicly

Answer:

>

Step-by-step explanation:

Answer:

[tex]\frac{13}{15}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{2.3}{5.3}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{6}{15}[/tex] + [tex]\frac{7}{15}[/tex] = [tex]\frac{13}{15}[/tex]

Answer:

45

Step-by-step explanation:

-5(-12)+(-15)

--> Multiply -5 and -12 to get 60

60-15

--> Subtract 15 from 60 to get 45

Hope this helps you!

Answer:

92/35

Step-by-step explanation:

⇒ 3 2/7 ÷ 1 1/4

⇒ (3*7 + 2) / 7  ÷ (1*4 + 1) / 4

⇒ 23/7  ÷  5/4

⇒ 23 * 4 /  7 * 5

⇒ 92/35

The solution of the expression is 2 22/35.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

The expression is,

3 2/7 divided by 1 1/4

Now, Solve the expression as;

3 2/7 ÷ 1 1/4

23/7 ÷ 5/4

23/7 x 4/5

92/35

2 22/35

Hence, The solution of the expression is 2 22/35.

Learn more about the division method visit:

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Answer:

x=6 and y=5

Step-by-step explanation:

We can eliminate the "x" variable by adding the two equations to get 6y=30. This means that y=5.

If we plug y=5 back into one of the original equations:

5x+y=35

5x+5=35

5x=30

x=6

-5x+5y=-5

-5x+5(5)=-5

-5x+25=-5

-5x=-30

x=6

Which confirms that x=6 and y=5 are indeed the correct solutions

Answer:

x=6 ,y=5

Step-by-step explanation:

6y=30,y=5

x=6

Answer:

7 represents the number of teams. 9 represents the amount of players on each team. And 63 represents the total number of players.

Step-by-step explanation:

the answer is x =  6 2/3

ok done. Thank to me :>

Answer:

  (b)  congruent segments

Step-by-step explanation:

One copies the length of a segment to make congruent segments. This is done by setting the compass radius to the length of the segment to be copied, then marking the segment length on another line using a given point as a center.

_____

Additional comment

The appearance here is that the segments are not actually congruent, so apparently a mistake has been made in the construction. No angles are shown, and there aren't enough points or arcs shown to support a conclusion that some other construction is being attempted.

Answer:

3miles

Step-by-step explanation:

10 minutes is 1/6 of an hour, so in 1 hour ellie would hike 1/2*6=3miles

Answer:

Step-by-step explanation:

There are various ways in which we can solve this problem.

If we're told that Ellie can hike 1/2 mile in 10 minutes, then multiplying both sides of "1/2 mile = 10 minutes" by 6 yields 3 miles in 60 minutes.

Alternatively:  "1/2 mile = 10 minutes" becomes "1 mile in 20 minutes" by the same approach.  Then, multiplying both sides by 3 yields "3 miles in 60 minutes," or "3 miles in 1 hour."

Answer:

i would say either F or G

i guess choose F

Answer:

8

Step-by-step explanation:

Answer:

hii the answer is 30 :D have a nice day

i dont even think i'm right but ok

didn't you just say you got the number 10? i'm guessing the number is 10

Answer:

First is 1, then 2, then 10

Step-by-step explanation:

I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.

Answer:

8900

Step-by-step explanation: :þ

Answer:

The car loses $5,635 every year. Multiply 24,500 by 23% (0.23)

Answer:

30 plus 20 is 50

30 minus 20 is 10

Answer:

the equation is y=x^2+8

Answer:

[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex]   or  10.42 = h

Step-by-step explanation:

The area of a trapezoid is [tex]A = \frac{1}{2}h(b_{1} + b_{2} )[/tex].

[tex]200 = \frac{1}{2}h(10\sqrt{2} + 14\sqrt{3})[/tex]

[tex]400 = { h(10\sqrt{2} + 14\sqrt{3} )[/tex]             Multiply both sides by 2

[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex]

 [tex]\frac{400}{38.39} = h[/tex]

10.42 = h  

2: c

Step-by-step explanation:

3: a

by Supplementing each answer Into the equation

Step-by-step explanation:

what don't you understand about this ? did you never solve 2 equations with 2 variables ?

it is really easy. there are 2 main approaches :

1. substitution. you use one of the two equations to express one variable by an expression purely in the other variable. then you use that in the other equation (resulting in one equation with one variable) and solve it. with that result you go back to the other equation and calculate the other variable.

2. equation arithmetic. when the terms of at least one of the variables are similar in both equations, you can multiply (if needed) one or both equations (left and right side !) by a fitting number and then add it subtract one equation from the other, so that you are left with one equation in one variable, which you solve. with that result you go back to any of the original equations and calculate the other variable.

there would be a third option for questions like this :

3. trial and error. simply put the point coordinates as x and y into both equations, and see for what point(s) both remain true.

but in order to show you the methodical approaches, we will use substitution for question 2 and equation arithmetic for question 3.

2)

2x + y = 5

-x + 2y = 5

I use the first equation to transform. and I get

y = 5 - 2x

with that I go into the second equation :

-x + 2(5 - 2x) = 5

-x + 10 - 4x = 5

-5x = -5

x = 1

and with that I get

y = 5 - 2×1 = 5 - 2 = 3

so, C (1, 3) is the right answer.

3)

2x + y = 7

-x + y = 1

let's subtract the second equation from the first :

2x + y = 7

- -x + y = 1

------------------

3x + 0 = 6

3x = 6

x = 2

with that I go into one of the original equations :

-2 + y = 1

y = 3

so, A (2, 3) is the right answer.

Answer:

489,162

Step-by-step explanation:

Hope it can help you lovelots