Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?

Answer:

( 4 )

Step-by-step explanation:

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Answer:

z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down

Step-by-step explanation:

∵ z1 = 4 + 3i

∵ z2 = 3 - 2i

∵ z3 = i + 5

→ Find the left side

∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]

∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]

∴ z1(z2 + z3) = (4 + 3i)(8 - i)

∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)

∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²

→ Remember that i² = -1

∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)

∴ z1(z2 + z3) = 32 - 4i + 24i + 3

→ Add the like terms

∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)

∴ z1(z2 + z3) = 35 + 20i

→ Find the right side

∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)

∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]

→ Replace i² by -1

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]

∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]

→ Add the like terms

∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]

∴ z1 z2 + z1 z3 = 35 + 20i

∵ The left side = 35 + 20i

∵ The right side = 35 + 20i

∴ The left side = the right side

∴ z1(z2 + z3) = z1 z2 + z1 z3

Answer:

5 days

Step-by-step explanation:

1/6 = 2/12

3/4 = 9/12

9/2=4.5

rounded 5

Answer: 1st, 4th & 5th .

Answer:

1st, 4th, and 5th

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

260 students prefer hip-hop music.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

According to Dustin Survey Hip hop music liked by 18 out of 50

In percentage we can write

x% of 50= 18

50x /100 = 18

x/2 = 18

x= 36%

So, Out of 722 students number of students who prefer hip-hop music

= 36% of 722

= 36/100 x 722

= 260

Hence, 260 students prefer hip-hop music.

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Answer:

a

[tex]\= x  =  82 [/tex]

b

[tex]s =  9.64 [/tex]

Step-by-step explanation:

From the question we are told that

    The data is  87  91  86  82  72  91   60  77  80  79  83  96

Generally the point estimate for the mean is mathematically represented as

    [tex]\= x  =  \frac{\sum  x_i }{n}[/tex]

=>  [tex]\= x  =  \frac{87 +91 + 86 + \cdots  + 96}{12}[/tex]

=>    [tex]\= x  =  82 [/tex]

Generally the point estimate for the standard deviation  is mathematically represented as

      [tex]s =  \sqrt{\frac{ \sum ( x_i  - \= x )^2 }{ n -1 } }[/tex]

=>     [tex]s =  \sqrt{\frac{ ( 87 - 82  )^2 +( 91 - 82  )^2 + \cdots + ( 96 - 82  )^2  }{ 12 -1 } }[/tex]

=>     [tex]s =  9.64 [/tex]

Part(a): The required mean is 82

Part(b): The required standard deviation is 9.639

Mean:

The mean is one of the measures of central tendency.

Part(a):

The formula for finding the mean is,

[tex]\bar{x}=\frac{\sum x_i}{n}[/tex]

Now, calculating the mean for the [tex]n=12[/tex] observation

[tex]\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82[/tex]

Part(b):

The formula for the standard deviation is,

[tex]S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }[/tex]

Substituting the given values into the above formula we get,

[tex]S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639[/tex]

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Answer:  (0,0)

Step-by-step explanation:

The only integer"s" that both add and subtract to the same value are 0 "and" 0.  Properly stated, the only integer that can be added to itself and subtracted from itself with the same outcome is 0.

Of course, k will also be 0

So this system of equation works out to be

0 + 0 = 0

0 - 0 = 0

Answer:

B = (5,4), C = (-5, -4), D = (5, -4), A = (-5, 4)

Step-by-step explanation:

look at x axis first (horizontal), then y axis (vertical)

The coordinates of the points are:

Remember that for a point (x, y), we need to count x units on the horizontal axis, and y units on the vertical axis.

With that in mind, we can see that:

Now, answering the questions:

Which point has coordinates (5, 4)?

Point B

Which point has coordinates (-5, -4)?

Point C

Which point has coordinates (5, -4)?

Point D

Which point has coordinates (-5, 4)?

Point A.

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Answer:

= x^2 + 3 / (x-1)(x-3)

Step-by-step explanation:

Adjust fractions based on the LCM:

= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)

Combine the fractions (equal denominators):

= (x-3)^2 + 6(x-1) / (x-1) (x-3)

Expand:

x^2 + 3 / (x-1)(x-3)

Answer:d

X^2+3\(x-1)x-3)

Step-by-step explanation:

On Plato

Answer:

A = (4, -2)

B = (-2, -2)

C = (-2, 2)

Please Brainliest! It wuld help out a lot..

Answer:

this is your question

Step-by-step explanation:

please mark as brainliest

The slope of the linear function would be 1/6, [y] - intercept will be equal to -5 and [x] - intercept will be equal to 1/30.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written to express proportional relationship as -

y = kx  {k is constant}

We have a linear function f(x) that models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5

Since the dependent variable decreases 3 units for every 2 units the independent variable increases, we can write -

3y = 1/2x

y = 1/6x

At [x] = 0, y = - 5

So -

y = (1/6)x - 5

Now -

slope = 1/6

[y] - intercept = - 5

y = 0 = (1/6)x - 5

(1/6)x - 5 = 0

1/6x = 5

x = 1/30

[x] - intercept = 1/30

Therefore, the slope of the linear function would be 1/6, [y] - intercept will be equal to - 5 and [x] - intercept will be equal to 1/30.

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Answer: 19 months

Step-by-step explanation:

given data:

amount paid initially when joining the club = $50.

monthly payments made = $10.

total amount paid since joining the club = $240.

Solution:

= 10X + 50 = 240

collect like terms

= 10X = 240 – 50

10X = 190

divide both sides by 10

10X/10 = 190/10

X = 19

isabella has been a member of the club for 19 months.

Answer:

$10

Step-by-step explanation:

16 * 5 / 8 = 16 * 0.625 = $10

Step-by-step explanation:

Hey there!

The given point is (8,-3) as (x1,y1) and slope (m) = -3/4.

Note: use one point formula for finding the equation.

[tex](y - y1) = m(x - x1)[/tex]

Put all values.

[tex](y + 3) = - \frac{ 3}{4} (x - 8)[/tex]

Simplify it.

[tex](y + 3) = - \frac{ 3}{4} x - 8 \times - \frac{3}{4} [/tex]

[tex](y + 3) = - \frac{3}{4} x + 6[/tex]

[tex]y = - \frac{3}{4} x + 6 - 3[/tex]

[tex]y = - \frac{3}{4} x + 3[/tex]

Therefore, the equation is; y = -3/4x+3.

Hope it helps...

Answer:

c. a translation down and to the left

Step-by-step explanation:

As per translation of a graph, the first transformation for this composition is translation down and to the left.

"A translation of a graph is its rigid movement, vertically or horizontally."

Here, A composition of transformations maps pre-image EFGH to final image E"F"G"H".

Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime.

Therefore, this transformation for this composition is translation down and to the left, and the second transformation is a reflection across line c.

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Answer:

I cant help bc it doesnt show :((( sorrrrry

Step-by-step explanation:

Answer:

medians in the triangle

Step-by-step explanation:

just took the test

Answer:

Shop and save

Step-by-step explanation:

Answer:

You can buy 5 of the same apples at Shop and Save for $2.10.

Step-by-step explanation:

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Step-by-step explanation:

[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]

Equation from the positive root:

[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]

Equation from the negative root:

[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]

[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.

Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .

To Find : The roots of the equation .

Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .

⇒ 3x² -5x - 7 = 0.

Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.

[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]

On substituting respective values ,

⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.

⇒x = 5 ± √ [ 25 + 84 ]/ 6 .

⇒ x = 5 ± √ 109 / 6 .

⇒ x = 5 + √109 / 6 , 5 - √109 / 6.

[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]

Answer:

19

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

There are 600 residents in the survey.

And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.

The objective is to construct a two by two table from the given data:

                       Diabetes

                    Yes                   No                          Total

Smoking  

Yes                  157                   230 - 157

                                               =  73                       230

No                     50                  370 - 50               600 - 230

                                               =  320                    = 370

Total              157 + 50             320+ 73

                      = 207                  = 393                    600

Answer:

(0,-26)

Step-by-step explanation:

0 -26

17 -39

34 -52

51 -65

68 -78

Answer:

18 of them are boys

Step-by-step explanation:

40% = 40/100 = 0.40

0.40 × 45 = 18

Answer:

Product of 6 and a number. y÷9.

Answer:

y= -4.5

Step-by-step explanation:

2y - 3 = 4y +6

subtract 2y from both sides: -3 = 2y +6

subtract 6 from both sides: -9 = 2y

divide both sides by 2: -4.5 = y

Answer:

y= -4.5

Step-by-step explanation:

2y - 3 = 4y + 6

+3 + 3

2y = 4y + 9

-4y -4y

-2y = 9

divide by -2 to get -4.5

Answer:

18 1/5

Step-by-step explanation:

9 3/5 + 8 3/5

We have a common denominator, so add the whole numbers

9+8 = 17

Add the fractions

3/5+ 3/5 = 6/5

17 6/5

We can simplify since we have an improper fraction

17 + 5/5 + 1/5

17+1+1/5

18 1/5

Answer:

18 1/5

Step-by-step explanation:

9 3/5 + 8 3/5=

First we do 9+8 which is 17

3/5+3/5= 6/5

17 6/5

Simplify:

18 1/5