The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. Write any fractions in simplest form.

y=20; x=12

[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:

325+250= 575

Step-by-step explanation:

[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:

y=(2/3)×-4

Step-by-step explanation:

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

Answer:

d

Step-by-step explanation:

have a nice day and good week. :)

I believe "option b" is the correct answer

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:

a≈9.06

Step-by-step explanation:

Using the formula

A=a2

Solving fora

a=A=82≈9.05539

Hello!

Formula for the Area of a Square:

[tex]\bf{A=a^{2}[/tex]

A = area

a = the length of a side of a square

Since we have the area, all we have to do to determine the side length is take the square root of both sides:

[tex]\bf{\sqrt{82} =\sqrt{a^{2} }[/tex]

Solve:

[tex]\bf{\sqrt{82} =a[/tex]

[tex]\bf{a=\sqrt{82}[/tex]

[tex]\bf{a=9.06}[/tex]

Final Answer:

a≈9.06

I hope it helps you.

Good luck and enjoy your day!

-SnowFlake

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]

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:

pi

Step-by-step explanation:

Function is starting from 1 at 0 and then ending at 1 when x value is π.

so total period is π

Answer:

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

Step-by-step explanation:

Hope this helps sorry if I am wrong.

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).

Learn more about Equations here:

https://brainly.com/question/28953876

#SPJ3

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:

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:

.25 cents a pizza

Step-by-step explanation:

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

Your distance would be [tex]\sqrt{146}[/tex]

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:

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:

your answer is $1,022 that is the answer

Answer:

cool... the question?

Step-by-step explanation:

Answer:

Year 2

Step-by-step explanation:

have a great day !!!

Answer:

$162,000

Step-by-step explanation:

4.5 of 120,000 is 5400

multiply 5400 by 30 and you get your 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: 8 people in total

Step-by-step explanation:

If you have two friends at a party and they invite two friends that is 4 people if another two people invited two more people that’s another 4 people add 4 and 4 8 people were invited in total

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

let the exterior angle be x

x=60°+80°(being one exterior angle is equal to two interior angle)

x°=140°