Solve the following system of equations.

Answer: 17 degrees

Step-by-step explanation: Because you have angle A= 163, you can tell that angle B is 17 degrees (sum of angles on one side of a straight line add up to 180). Line M and line N are parallel, so they have corresponding angles, making angle B and angle X are the same. See picture attached for my diagram :). hope this helped!

Answer:

A

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Answer:

[1,∞)

Step-by-step explanation:

Let's try to plug in some numbers.

When solving a problem fo range, the best place to start is where you can let the (x - b) part = 0.

This is what I mean

3(x-6)² + 1

Let x = 6

3(0)² + 1 = 1

Look how we have a 0 inside the parentheses.

That's what I mean.

Now let's try using terms smaller than 6.

Now, let's try plugging in 5

3(-1)² + 1 = 4

Now try plugging in 4

3(-2)² + 1 = 13

Looks like we will just keep going up.

Now let's try using terms bigger than 6.

Plugging in 7

3(1)² + 1 = 4

Plugging in 8

3(2)² + 1 = 13

We just go up both ways because of the x squared term.

So our smallest value is at x = 6 where we have y = 1.

If we go either direction forever to the right or left the terms to get bigger, where it approaches infinity.

So, 1 will have parentheses as it can be reached and infinity will have parentheses as it is unreachable and goes on forever.

[1,∞)

Answer:

I think 58% I’m not 100% sure but yea

Step-by-step explanation:

I divided the number of votes for printed 71 by the total number of votes 122 so 71/122=.58 58%

Answer:

18 times 15 times 9 = 2430 cubed inches

Step-by-step explanation:

The line plot is used to show the lengths of the string colors using  check marks above the line

From the complete question, we have the following frequency table

String color      Length

Black string        [tex]3\frac 12 \ in[/tex]

Blue string          4 in

White string         [tex]3\frac 12 \ in[/tex]

Brown string         [tex]3\frac 14 \ in[/tex]

Green string         [tex]4\frac 34 \ in[/tex]

Express as improper fraction

String color      Length

Black string        [tex]\frac {14}4 \ in[/tex]

Blue string          [tex]\frac{16}4\ in[/tex]

White string        [tex]\frac {14}4 \ in[/tex]

Brown string       [tex]\frac {13}4 \ in[/tex]

Green string        [tex]\frac {19}4 \ in[/tex]

Since the lengths are fractions and the string color is a text, then

We plot the lengths on the x-axis and the string color on the y-axis

See attachment for the line plot

Read more about line plots at:

https://brainly.com/question/15853311

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have that the parameters are given as follows:

[tex]M = 3, z = 1.645, \sigma = 16[/tex].

Hence, solving for n, we find the sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{16}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645 \times 16[/tex]

[tex]\sqrt{n} = \frac{1.645 \times 16}{3}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2[/tex]

[tex]n = 76.97[/tex]

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

====================================================

Explanation:

The first task is to sort the items given.

The sorted set is {18, 20, 22, 26, 28, 30, 31}

There are 7 values in that set. The median is going to be in slot 4 because n/2 = 7/2 = 3.5 rounds to 4.

The value in slot 4 is 26, meaning the median is 26.

There are 3 values below the median, and 3 values above it.

L = lower set = items below the median

L = {18,20,22}

U = upper set = items above the median

U = {28,30,31}

The median of set L is 20, showing that Q1 = 20 is the first quartile.

The median of set U is 30, meaning Q3 = 30 is the third quartile.

The min and max are exactly what they sound like: they are the smallest and largest items. In this case, we have min = 18 and max = 31.

Answer:

1.1150

Step-by-step explanation:

x(86.90) = 96.90

86.90x = 96.90

86.90x/86.90 = 96.90/86.90

x = 1.120

Answer:

[tex]\huge\boxed{\sf x = 1.12}[/tex]

Step-by-step explanation:

x (85 + 1.90) = 96.90

Add

x (86.90) = 96.90

Divide 86.90 to both sides

x = 96.90 / 86.90

x = 1.12

[tex]\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

Multiply: (3x - 5)(-x + 4)

By applying the distributive property,

(3x - 5)(-x + 4)

= (3x)(-x) + (3x)(4) - (5)(-x) - (5)(4)

= -3x^2 + 12x + 5x - 20

= -3x^2 + 17x - 20

That is the simplified product in standard form.

Let's see

[tex]\\ \rm\longmapsto (3x-5)(-x+4)[/tex]

[tex]\\ \rm\longmapsto 3x(-x+4)-5(-x+4)[/tex]

[tex]\\ \rm\longmapsto -3x^2+12x+5x-20[/tex]

[tex]\\ \rm\longmapsto -3x^2+17x-20[/tex]

Answer:

3.5

Step-by-step explanation:

Look at the .5's closely if you take the 2.5 measurement info and then there is a little bit left that may be another .5 measurement.

Answer:

408 students = 60%

408 x 100/60

= 680 students in total

5 - 2 = 3 cupcakes left for herself

2 - 1 = 1, kakashi has 1 sharingan now and so does obito

Answer:

b≈12.78 ; c≈15.25

Step-by-step explanation:

See image.

The next step is to to construct a line through point R  is the option;

The steps to  construct a perpendicular through the point R are;

The step that should be taken next to construct a line through point R that is perpendicular to [tex]\overleftrightarrow{ST}[/tex] is therefore;

Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]

Learn more about how to carry out geometric constructions here:

https://brainly.com/question/13160630

Answer:

1/9

Step-by-step explanation:

4 people use all three facilities, then

16 - 4 = 12 people use the gym and the track and do not use the pool;

9 - 4 = 5 people use the pool and the track and do not use the gym;

19 - 4 = 15 people use the gym and the pool and do not use the track.

At least two facilities use 4 + 12 + 5 + 15 = 36 people, 4 of them use all three facilities. Thus, the probability that a randomly selected person which uses at least two facilities, uses all the facilities is 4/36 which is equivalent to 1/9

Answer:

8x - 4

Step-by-step explanation:

3x - 5 + 5x + 1

8x - 4

Answer:

its should be b

Step-by-step explanation

mark brainlist

Answer: 9 + 10 = 19

-129 x 5 =  -645

232 exponent of 2 = 53,824

32 x 400  = 12,800

400 / 23 = 17

53,824 + 12,800 + -645 + 19 + 17 = 66015

Step-by-step explanation:

Answer:

they arent

Step-by-step explanation:

maybe height or width

i dunno

Left side traingle:-

Area=

[tex]\\ \rm{:}\dashrightarrow \dfrac{1}{2}BH=\dfrac{1}{2}(6)(8)=4(6)=24km^2[/tex]

Now

Volume:-

Answer:

8.75%

Step-by-step explanation:

Answer:

8.75%

Step-by-step explanation:

money given= $60

Price=$48

returned money should be=$60-$48

                                            =$12

received= $7.80

sales tax=$12-$7.80

              =$4.2

%=Sales tax /price×100

=$4.2/$48×100

=8.75%

Answer:

35 gallons.

Step-by-step explanation:

Why? Bc it is the closest 4,751

Answer:

No, Hillary is incorrect. There's 20oz of punch for every 4 servings.

Step-by-step explanation:

80oz / 20oz = 4

16 servings / 4 = 4 servings

So, instead of there being 20oz of punch for every 5 servings, there would be 20oz of punch for every 4 servings.

Answer:

count how many time you need to move the decimal point to only have 1 number on the left

4,200,000 = 6 times

4.2 × 10^6

Answer:

130°

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Answer:

c

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:(if treasure of change is "rate of change")

Equation of a line: mx + b

m=-1/3: slope

b: y-intercept

^Whenever working with an equation of slope/rate of change the above variables have specific meanings.

Slope is another term for rate of change so the rate of change would be -1/3.

m=-1/3=slope/rate of change

b=4=y intercept