Simplify (12+3i)−(−5+2i)

Answer:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.

Step-by-step explanation:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.

Answer:

Step-by-step explanation:

The length of a rectangle is 2 inches more than its width. The area of the rectangle is equal to 12 inches more than three times the perimeter. Find the length

and width of the rectangle.

Answer:

Step-by-step explanation: 1.4  -  1.45  -  1.54  -  10.4  -  10.54  

Least to greatest

Answer:

24 is the answer

Step-by-step explanation:

40% of 60

40/100x60

=0.4x60

=24

Answer:

the slope is 13

Step-by-step explanation:

The longest side i triangle LMN is NL

Answer:

The graph i cant explain but go on mw  and look up -18+8x -50 n tap the arrow and then push graph

Step-by-step explanation:

Inequality Form:

x≥−4

Answer:

The coordinate is (5,4)

the x=5

the y=4

4 and 5

Step-by-step explanation:

on y axis it is 4

while on x axis it is 5

based on the point

Answer:

Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one

so 21 goes into 65 3 times maximum

so 21*3 is 63

so we subtract 63 and put a 3 on top

so eventually you’d get 31.142857 (never ending decimal)

So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you

so 31 1/7 is the final answer

Ryan is 23 and Naomi is 17.

Find the midpoint of 40. This is 40/2, or 20.

Because the difference in age is 6, but the total of the ages must add up to 40, you must also halve 6. 6/2 is 3.

Take away three and add three to 20.

20 + 3 = 23. This is Ryan's age as he is the older sibling.

20 - 3 = 17. This is Naomi's age.

Answer:

34

26

8

Step-by-step explanation:

Answer:

See below:

Step-by-step explanation:

For the first one, we know <ABC is 90 degrees due to it being a rectangle.

Since we know that, the angles in that triangle are 41 degrees 90 degrees and y degrees (y is <AEB) in this case.

We know that the sum of angles in a triangle are 180 degrees therefore:

If we solve that, we get that y is 49 degrees.

Now to get x, we know its a supplementary angle, therefore 61 degrees + 49 degrees + x = 180 degrees.

We now know that x is 70 degrees

For the second one, since its an equilateral triangle, we know that all angles inside of it are 60 degrees.

What we can do is first find what <XZW is by subtracting 60 from 180 due to the supplementary angles theorum.

Therefore <XZW is 120 degrees.

Now, all angles inside a triangle are always 180 degrees so therefore:

[tex]x=180-(120+32)\\x=28[/tex]

For the final one, we know that <QRP is equal to 64 degrees due to the bottom two triangles of an isoceles triangle being equal.

On that, we get 23 degrees for the last one due to supplementary angles + 180 deg in triangle.

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

5/12+(-9/12)

5/12 - 9/12 = -4/12

-4/12 = -1/3

Answer:

16.13

Step-by-step explanation:

Answer:

C. one solution

Step-by-step explanation:

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

x = 27

Answer:

10404

Step-by-step explanation:

The difference between the functions f(x) and g(x) is the addition of a

constant to the value of x and changing

the sign of the output.

The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and

reflected over the x-axis.

Reason:

The addition of a positive constant term to the input variable of a function,

shifts the graph to the left of the graph of

the parent function.

Please find attached the image of the graph of f(x), which is g(x) shifted to

the left by 3 units.

Step-by-step explanation:

Changing the sign of the output value from positive to negative;

When the output value of a function is changed from positive to negative,

and vice versa, it is equivalent to a reflection across the x-axis.

Therefore, the function g(x) is a reflection across the x-axis.

Therefore;

g(x) is shifted 3 units to the left and

reflected over the x-axis.

y = 138

Step-by-step explanation:

6x + 5x +2 = 90°

11x = 90 - 2

11x = 88

x = 8

5x + 2 + y = 180

5(8) + 2 + y = 180

40 + 2 + y =180

42 + y = 180

180 - 42 = y

y = 138

Answer:

Well mixed number is something with a whole.

Remeber a decimal goes by the place value of tenths right away.

Now if you follow along 1.43 is basically saying 1 and 43 hundreths  

Becuase normal place value go

tenths

Hundreths

thousandths

ten thousandths

hundred thousandths

millionth

etc.

and that Saying 1 43/100

So your mixed number is 1 43/100

Your improper would jsut be

Multiplying the denominator with the whole number

Then add that product to the numerator, keep the denominator the same

so 143/100

Answer:

[tex]\frac{19}{18}[/tex]   or   [tex]1 \frac{1}{18}[/tex]

Step-by-step explanation:

First, both fractions need to have a common denominator.

The LCM of 9 and 6 is 18.

[tex]\frac{16}{18} +\frac{3}{18}[/tex]

Add the numerators.

You get: [tex]\frac{19}{18}[/tex]

The mixed number form is [tex]1 \frac{1}{18}[/tex]

The expression  [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

In order to add fractions, it is essential to determine a common denominator.

The common denominator is [tex]9 \times 6 = 54.[/tex]

Now, let's convert the fractions to have the common denominator:

When we multiply the fraction 8/9 with 6 in numerator and denominator we get 48/54.

[tex]\frac{8}{9}= \frac{8}{9} \times \frac {6}{6}[/tex]

[tex]= \frac{48}{54}[/tex]

Now multiply the fraction 1/6 with 9 in numerator and denominator to make 54 in denominator:

[tex]\frac{1}{6}= \frac{1}{6} \times \frac {9}{9}[/tex]

[tex]= \frac{9}{54}[/tex]

Now, we can add the fractions:

[tex]\frac{48}{54} + \frac{9}{54} = \frac{(48 + 9)}{54}[/tex]

[tex]=\frac{57}{54}[/tex]

Despite this, we have the option to simplify the fraction by dividing both the numerator and the denominator with their greatest common divisor, which is 3.

[tex]\frac{57}{54} = \frac{19}{18}[/tex]

Therefore, [tex]\frac{8}{9} +\frac{1}{6},[/tex] expressed as a fraction, is [tex]\frac{19}{18}.[/tex]

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ4

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

Answer:

245.46

Step-by-step explanation:

the hundredth point is represented by the "5" after the decimal, it goes like this

hundred, ten, one . tenth, hundredth, thousandth

2 4 5 . 4 5 6

so when you find the point you need to round to, if the number after it, is greater than five, the "hundredth" place goes up one

I hope this makes sense

Answer:

5

Step-by-step explanation:

Well, since the probability of blue pens is 1/2 you'll have to add the number of pens that is not blue. So that'll be 8+3 which equals 11. We currently have 6 blue pens and we need to add up the pens which will get 11. 11-6 equals 5, and that is the number of pens you will have to add.

Also, I'm not an expert at this so please check the work before you answer !

Answer:

Expression B

Step-by-step explanation:

70. 35

----- = -----

p. 100

Answer:

.,l;'fnfcy

Step-by-step explanation:

gvnjd,g,ufk,lnm;lh;;rkiyltoltlt8tioll

Answer:

x = 27

Step-by-step explanation:

similar triangles

26/18 = 39/x

      x = 39(18/26)

      x = 27

could also use

39/x = (39 + 26) / (x + 18)

to get to the same result

39(x + 18) = x(39 + 26)

39x + 702 = 39x + 26x

         702 = 26x

              x = 27

or

18/x = 26/39

    x = 18(39/26)

    x = 27

Answer:

divide the given line into halves