find the measure of the indicated angle to the nearest degree

The statement "Every complex number has both a real part and an imaginary part" is always true.

Every complex number is defined as a number of the form "a + bi," where "a" represents the real part and "bi" represents the imaginary part.

The real part "a" is a real number, and the imaginary part "bi" is a multiple of the imaginary unit "i," where "i" is defined as the square root of -1.

Even if a complex number has a zero imaginary part, it is still considered to have both a real and an imaginary part.

In that case, "a" represents the real part, and the imaginary part "bi" becomes zero.

For example, the complex number 3 + 0i is a real number (3) and can be represented as having a real part of 3 and an imaginary part of 0i.

In conclusion, every complex number by definition consists of both a real and an imaginary part, making the statement "Every complex number has both a real part and an imaginary part" always true.

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The second part of the trip took 1.5 hours.

Average Speed is the ratio of the total distance travelled to the total time taken to cover that distance. It is given by:

Average Speed = total distance ÷ total time

Given that the distance from the house to the tournament is 210 miles, hence:

Total distance = 210 miles

Also, The journey was in two parts, the first part took 2 hours. Let the second part take t hours. Therefore:

Total time = t + 2

The average speed of 60 miles per hour, hence:

60 = 210 ÷ (t + 2)

60(t + 2) = 210

60t + 120 = 210

60t = 90

t = 1.5 hours

Therefore the second part of the trip took 1.5 hours.

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Answer:

x = 1; not extraneous

Step-by-step explanation:

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

Answer:

73.75

Step-by-step explanation:

every ride the bus pass value goes down by 1.75 so we can use that to figure out what the 15th ride would cost. if you multiply 1.75 x 15 you will get 26.25. Now subtract 26.25 from 100 to get 73.75. Hope i helped! :)

Answer:

24

Step-by-step explanation:

To solve, subtract:

111-87= 24

Hope this helps!

Answer:

57

Step-by-step explanation:

5(9)+12=45+12=57

Answer:

X equals negative 11

Step-by-step explanation:

The angles in a triangle add up to be 180 degrees, and we already have 80 as one angle and 60 as the other. That equals 140 degrees. But now we have x+51. That would equal 191 degrees, so 191-180=11, so x= -11

Answer:

x=-11

What we know=

Angles A'=x+51

Angle B=60

Angle C=80

Angle B' and C'=?

Due to the vertically opposite angle rule, we know angle B' and C' are the same as angle B and C.

So, angle B' is 60 degrees. Angle C' is 80 degrees.

We can add them together to get 140 degrees.

So we have 140, x+51. We can make an equation.

[tex]180=140+51+x[/tex] We can combine like terms (140 and 51) to get 191

A triangle only adds up to 180 degrees. So now you can subtract 180-191=to get x.

Answer:

Q = 51,  S = 51,  R = 78

Answer:

bru im confused

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because I think it makes sense if I'm wrong I'm am very sorry

Answer:

find the speed for one minute which would 18 divide by 12 which is 1.50 after multipy by 60 because 60 minutes equals 1 hour

Step-by-step explanation:

Answer:

a x=-3

Step-by-step explanation:

The equation x = 3 represents a vertical line and not a mapping from values of x to values of y. For one thing, it fails the vertical line test for functions at the value x = 3.

Answer:

9 hours

Step-by-step explanation:

12 minus 7.5 equals 4.5 add 4.5 from 4:30 you get 9

Answer:

Step-by-step explanation:

Solve the equation for 0 and 1:

x^3 + 6x -5

Replace x with 0:

0^3 + 6(0) -5 = -5

Replace x with 1:

1^3 + 6(1) -5 = 1+6 -5 = 2

Because the value of f(0) is negative and the value of f(1) is positive then there is at least one value of x between 0 and 1 that f(x) = 0

Answer:

50.2in or 4.2ft

Step-by-step explanation:

This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.

Mb = model building = 18in

Mw= model window = [tex]\frac{1}{9}[/tex]in

Rb = real building = 678ft = 8136in

Rw = real window = ?

[tex]\frac{Mw}{Mb}[/tex] = [tex]\frac{Rw}{Rb}[/tex]

[tex]\frac{1/9}{18}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1}{9*18}[/tex] = [tex]\frac{Rw}{8136}[/tex]  

[tex]\frac{1}{162}[/tex] = [tex]\frac{Rw}{8136}[/tex]

[tex]\frac{1*8136}{162}[/tex]= [tex]\frac{8136*Rw}{8136}[/tex]

[tex]\frac{8136}{162}[/tex] = Rw

[tex]\frac{452}{9}[/tex] = Rw

Rw ≈ 50.2in ≈ 4.2ft

9.055

Step-by-step explanation:

distance

= √(x₁ - x₂)² + (y₁ - y₂)

= √[7 - (-2)]² + [-5 - (-4)]²

= √[9]² + [-1]²

= √(81 + 1)

= √82

≈ 9.055

Answer:

y= 3 when x= 0

y=3

Step-by-step explanation:

in the problem, there's a patten in the difference of X and Y,

at first, Y is 3 more than X (2 and 5)

then y is 4 more, 5 more, and 6 more.

y goes up by 1 each time

so if Y is 5 when X is 2, then when X is 1 Y is 4

when X is 0 Y is 3

Answer:

2?

Step-by-step explanation:

y is adding by 3 every time...

Maybe that helps?

Answer:

-x^2-2x+3

Step-by-step explanation:

3 - (2x² + 3) + (x² - 2x + 3)

Distribute the minus sign

3 - 2x² - 3 + x² - 2x + 3

Combine like terms

- 2x²  + x² - 2x + 3-3+3

-x^2-2x+3

Answer:

20 kilometers

Step-by-step explanation:

24 x 5/6 = 20

Steps

38 + 7k = 8k + 32

38 + 7k - 38 = 8k + 32 - 38

7k = 8k - 6

7k - 8k = 8k - 6 - 8k

-k = -6

-k/-1 = -6/-1

k = 6

Answer

k = 6

Answer:D

total 450 marks 90 of which are maths

90/450= 0.2

0.2=20%

20% is D

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

90/450=2/10

9514 1404 393

Answer:

  X.

Step-by-step explanation:

The inequalities tell you the graph is below a solid line that goes up to the right, and below a dashed line that goes down to the left. The upward sloping line has a slope of 2, so is steeper than the downward sloping line that has a slope of -1.

The colored portion will be in the bottom quarter of the X made by the crossing lines. The appropriate graph is X.

Answer: OPTION A. 72

To find the difference beetween two numbers we need to subtract them.

So we need to figure out 46- (-26)

⇒46-(-26)

AS WE HAVE A NEGATIVE SIGN OUTSIDE THE BRACKET AND A NEGATIVE SIGN INSIDE THE BRACKET TO, THE NEGATIVE SIGN WILL GET MUTILPLIED TO THE NEGATIVE BEFORE THE BRACKET THUS WE WILL HAVE -×- AND WHEN SIGN IS MULTIPLIED WITH A NOTHER NEGATIV ESIGN THE PRODUCT IS POSITIVE SIGN SO,

46+26

⇒72

Answer:        -0.9555556

Step-by-step explanation:

Answer:

about 0.10 cents a unit

Step-by-step explanation:

If I'm wrong, I'm sorry!!

I hope you have a great day! Good luck with your math!