What is the median of the set of numbers 2, 8, 33, 2, and 20?.

Problem 1

x = measure of angle N

2x = measure of angle M, twice as large as N

3(2x) = 6x = measure of angle O, three times as large as M

The three angles add to 180 which is true of any triangle.

M+N+O = 180

x+2x+6x = 180

9x = 180

x = 180/9

x = 20 is the measure of angle N

Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.

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Problem 2

n = number of sides

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

2700 = 180(n-2)

n-2 = 2700/180

n-2 = 15

n = 15+2

n = 17

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Problem 3

x = smaller acute angle

3x = larger acute angle, three times as large

For any right triangle, the two acute angles always add to 90.

x+3x = 90

4x = 90

x = 90/4

x = 22.5

This leads to 3x = 3*22.5 = 67.5

Answer:

dependent variable

Step-by-step explanation:

from what i have seen this is the right choice heres an example of how i came up with it you can decide off of this

Independent variable causes an effect on the dependent variable. Example: How long you sleep (independent variable) affects your test score (dependent variable). ... Example: Your test score affects how long you sleep.

Answer:

y=(2/3)×-4

Step-by-step explanation:

4y(8/3)×-16 <-----divides everything by 3

Answer:

your answer is $1,022 that is the answer

The constant of proportionality of the equation is 29.4

If the amount of money an accountant makes, m, is directly proportional to the time taken, this is expressed as:

m = kh

where;

k is the variation constant

Given that the amount of money an accountant makes, m, for working h hours is represented by the equation m = 29.4h, the variation constant is calculated as:

29.4h = kh

k = 29.4

Hence the constant of proportionality of the equation is 29.4

Learn more on variation constant here: https://brainly.com/question/25215474

Answer:

[tex]\left \{ {{x=\frac{4496}{3} } \atop {y=-\frac{3596}{3} }} \right.[/tex]

Step-by-step explanation:

Solve: [tex]x+y=300\\12x+15y=4\\12x+15y=4[/tex]

   ↓

[tex]x=\frac{4496}{3}\\y=-\frac{3596}{3}[/tex]

I hope this helps you

:)

Answer:

Step-by-step explanation:

Answer:

use pythag theorum you get 11.7 i thinkkk

Step-by-step explanation:

Try creating a triangle using the length of x and the length of y, so, you can tell the line goes from -5 to 5 on the x axis so that means its 10 long on x and 0 to 6 on y axis so its 6 long on y... then create a triangle and use the pythagorean theorem (the square root of (10 squared + 6 squared) which is around 11.7 .... i think, hope that helps! -prowl

SORRY THIS IS MY FIRST TIME ANSWERING A QUESTION ON HERE. I PUT IT IN THE WRONG PLACE THE FIRST TIME LOL

[tex]\\ \rm\hookrightarrow x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{-5\pm\sqrt{25+32}}{4}[/tex]

[tex]\\ \rm\hookrightarrow x=\dfrac{-5\pm\sqrt{57}}{4}[/tex]

Answer:

m/s

Step-by-step explanation:

distance d is measured in meters (m)

time t is measured in seconds (s)

⇒ s = d/t

⇒ s = m/s

Answer:

d

Step-by-step explanation:

have a nice day and good week. :)

I believe "option b" is the correct answer

Let's call one ratio = x

So, the sides are 3x, 5x and 7x respectively.

Since the perimeter is 90 cm, the sum of 3 sides = 90 cm

-> 3x + 5x + 7x = 90 cm

-> 15x = 90cm
-> x = 6cm.

So, the 3 sides are 3x6, 5x6 and 7x6 -> 18,30 and 42.

Recheck : 18 + 30 + 42 = 90

18:30:42 = 3:5:7 (all divided by 6)

Answer:[tex]194.8557 in^2[/tex]

The side of a regular hexagon is congruent with the radius of the circle the hexagon is inscribed with.  That makes the two triangles in red and green (lines are a bit offset for clarity) equilateral. At this point it's easy to compute the area of an equilateral triangle known the side length l, which is [tex]A = \frac12 l (l\frac{\sqrt3}2) = \frac{\sqrt3}4 l^2[/tex] At this point, the area of the shaded region of one triangle making up the hexagon is obtained by difference (area of the red triangle, minus area of the white:

[tex]A=A_r-A_w = \frac{\sqrt3}4 10^2 -\frac{\sqrt3}45^2 = \frac{\sqrt3}4(10^2-5^2)=\frac{\sqrt3}4\times 75\approx 32.47595[/tex]

The area of the whole shaded region, is 6 times that, or [tex]194.8557[/tex]

With tasselation:

Join the midpoint of the side of the external hexagon with the end points of the corresponding side of the inner hexagon. You have now created four equilateral squares which are congruent. (yes, my drawing skills are terrible)

The shaded region is made of 18 triangular tiles, each having an area of (see above formula) [tex]\frac{\sqrt3}4\times 5^2 = 18.8253[/tex], for a total of, again, 194.8557 square inch.

Answer:

both graphs.suggest a non linear relationship

[tex] \qquad \huge \underline{ \boxed{\sf Answer}}[/tex]

The given angles form linear pair, so their sum equals to 180°

[tex] \qquad \dashrightarrow \sf \:x + 47 = 180[/tex]

[tex] \qquad \dashrightarrow \sf \:x = 180 - 47[/tex]

[tex] \qquad \dashrightarrow \sf \:x = 133 \degree[/tex]

I hope it helps ~

ᎪꪀsωꫀᏒ

Step-by-step explanation:

=> x+47° = 180° { linear pair }

=> x = 180°-47°

=> x = 133°

Answer:

Round to the nearest tenth. The diagram is not drawn to scale. Solution: We know that. cosθ = adjacent/hypotenuse. Substituting the values. cos22 = x/11.

Step-by-step explanation

hope this helps

Answer:

cool... the question?

Step-by-step explanation:

Answer:

First equation:  y = -2x

Second equation: y = 3 - x

Solution:  (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10)  (-1, 2)  (0, 0)  (11, -22)

Table 2

(-8, -11)  (-2, -5)  (1, -2)  (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

[tex]\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}[/tex]

[tex]\textsf{point-slope form : }y-y_1=m(x-x_1)[/tex]

Equation 1

[tex]\textsf{slope }m=\dfrac{2-10}{-1+5}=-2[/tex]

[tex]y-0=-2(x-0)\\\\\implies y=-2x[/tex]

Equation 2

[tex]\textsf{slope }m=\dfrac{-5+11}{-2+8}=1[/tex]

[tex]y+11=1(x+8)\\\\\implies y=x-3[/tex]

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

The equations are given as follows:

An equation is a combination of expressions that are equal to each other.

The ordered pairs of the tables are as follows:

Table 1:

(-5, 10), (-1, 2), (0, 0), (11, -22)

Table 2:

(-8, -11), (-2, -5), (1, -2), (7, 4)

To obtain the first equation, pick any two ordered pairs.

The slope of the equation is given as:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Let's pick ordered pairs (-1, 2) and (0, 0) to find the slope of the equation.

Then,

[tex]m = \dfrac{0-2}{0-(-1)}\\m = \dfrac{-2}{1}\\\\m = -2[/tex]

So, the first equation in the point-slope form is given as follows:

[tex]y-y_1= m({x-x_1})[/tex]

Substitute [tex](x_1,\ y_1)[/tex] by (0, 0) and m by -2,

y - 0 = -2(x - 0)

y = -2x

Similarly, the slope of the second equation is obtained as follows:

[tex]m = \dfrac{-5-(-11)}{-2-(-8)}\\m = \dfrac{6}{6}\\\\m = 1[/tex]

So, the second equation in the point-slope form is given as follows:

y - (-11)  = 1(x - (-8))

y + 11 = x + 8

y = x - 3

To solve this system of equations, let's equate the right-hand sides of both equations:

-2x = x - 3

-2x -x = -3

-3x = -3

x = 1

Substitute this value of x in the first equation,

y = -2 × 1

y = -2

So, the solution is (1, -2).

Therefore, the blanks are filled in by the numbers -2 and 3. The solution of the system of equations is (1,-2).

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Answer:

Step-by-step explanation:

Like terms have same variable with same exponent

[tex]\dfrac{-4}{7}p+(\dfrac{-2}{7}p)+\dfrac{1}{7}= \left(\dfrac{(-4)+(-2)}{7} \right)p+\dfrac{1}{7}[/tex]    

                              [tex]=\dfrac{-6}{7}p+\dfrac{1}{7}[/tex]

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

Separate into Case 1 and Case 2:

Case 1: We want a yellow marble

There is only 1 yellow marble out of the 6 marbles.

Probability for a yellow marble = [tex]\frac{1}{6}[/tex]

Case 2: We want a blue marble

There is only 1 blue marble out of the 5 marbles remaining. (We took 1 yellow marble out already)

Probability for a yellow marble = [tex]\frac{1}{5}[/tex]

Multiply Case 1 with Case 2 because they are a combination:

[tex]\frac{1}{6} *\frac{1}{5} =\frac{1}{30}[/tex]

Answer:

$162,000

Step-by-step explanation:

4.5 of 120,000 is 5400

multiply 5400 by 30 and you get your answer.

Answer:

I think the answer would be 2x2y 2xy x2 xy

Step-by-step explanation:

Hope this helps sorry if I am wrong.

Answer:

325+250= 575

Step-by-step explanation:

Answer:

.25 cents a pizza

Step-by-step explanation:

divide the 8 dollars by 32 to get 25 cents for the unit price

Answer:

If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations. the intersection points (-3,3) Since the system is infinite it means there is 1 line on the graph-

Step-by-step explanation:

The solution (infinitely many solutions) in this case means the runners are at the same place at any point in time.

When a set of linear equations has a single solution,

In the case of coinciding lines with the same y-intercept, the number of solutions to the equation system is unlimited. The two lines are actually in the same line if they share the same slope and y-intercept.plied set then has a special solution.

We have two runners racing against each other.

The two equations form a system that has infinitely many solutions.

Thus, the solution (infinitely many solutions) in this case means the runners are at the same place at any point in time.

Learn more about infinitely many solutions here:

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Answer:

h = 20 km

Step-by-step explanation:

Mario's path forms a right triangle with legs 16 km and 12 km and hypotenuse h. Let's use the Pythagorean Theorem (a² + b² = c²) to solve for h.

16² + 12² = h²

256 + 144 = h²

400 = h²

h = 20 km

i hope this work for you

and sory if im wrang

Answer:

You can write equivalent expressions by combining like terms. Like terms are terms that have the same variables raised to the same powers. For example, the list shows some pairs of like terms. the new coefficient is 9.

Step-by-step explanation:

[tex]hope \: it \: helps \: you[/tex]