At an auction a company sells 150 television sets for an
average of $65 each. The production cost was $10 000.
How much loss did the company make?

Explanation:

Let y=3x

To calculate the inverse, interchange

x and y,    

x =3 y

Angle GFJ = 56 degrees

Angle FGH = 124 degrees

Angle HFJ = 34 degrees

Angle HKJ = 101 degrees

Step-by-step explanation:

The measure of the angles are:

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

[tex]\mathbf{\angle HFJ = 34}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

The given parameters are:

∠GHF = 34°,

∠HJF = 124°,

∠FKJ = 79°.

(a) Angle ∠GFJ

This is calculated as:

[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees

So, we have:

[tex]\mathbf{GFJ = 180 - 124}[/tex]

[tex]\mathbf{GFJ = 56}[/tex]

(b) Angle ∠FGH

This is calculated as:

[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal

So, we have:

[tex]\mathbf{\angle FGH = 124}[/tex]

(c) Angle ∠HFJ

This is calculated as:

[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles

So, we have:

[tex]\mathbf{\angle HFJ = 34}[/tex]

(d) Angle ∠HKJ

This is calculated as:

[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles

So, we have:

[tex]\mathbf{\angle HKJ =180 - 79}[/tex]

[tex]\mathbf{\angle HKJ =101}[/tex]

Read more about angles in a parallelogram at:

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Answer:

[tex]n = \frac{49}{2x}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{4}{7}[/tex] xn to [tex]\frac{4xn}{7}[/tex]

[tex]\frac{4xn}{7}[/tex] = 14

2) Multiply both sides by 7.

4xn = 14 × 7

3) Simplify 14 × 7 to 98.

4xn=98

4) Divide both sides by 4.

[tex]xn = \frac{98}{4}[/tex]

5) Simplify [tex]\frac{98}{4}[/tex] to [tex]\frac{49}{2}[/tex]

[tex]xn = \frac{49 }{2}[/tex]

6) Divide both sides by x.

[tex]n = \frac{49}{2} / x[/tex]

7) Simplify [tex]\frac{49}{2} /x[/tex] into [tex]\frac{49}{2x}[/tex]

[tex]n = \frac{49}{2x}[/tex]

Answer:

m=56kx-6

Step-by-step explanation:

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

Step-by-step explanation:

perimeter = 2* ( length + width)

Length = 4 + Width = 4+x

Equation is,

2* (4+x+x) = 48

2* (4+2x) = 48

4+2x = 48/2 = 24

4+2x=24

2x = 24-4 = 20

2x = 20

x = 10

Answer:

hello

Step-by-step explanation:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.

m = slope

Answer:

John: 18 years old

Mikayla: 6 years old

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

y = 1x -1

Step-by-step explanation:

m is your slope which is 1 and -1 is you y intercept

the slope intercept form is y = mx + b

which means the equation will be y = 1x -1

no idea

Step-by-step explanation:

u can use google for this if u r in hurry

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

Read more about x-intercepts at:

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Answer:

1.)47.022

2.)8.032

3.)2.436

4.)61.92

Step-by-step explanation:

Answer:

it will be (3)

Step-by-step explanation:

since DB is a median

then DB= half AC , AB=BC

then AB=BD

then the two triangles are isosceles

The required m∠BDC is 32° .

In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

According to the given question ;

DB is a median;

By the symmetry ;

Then DB = half AC ,

        = AB = BC

Then= AB = BD

In a triangle, a line that connects one corner (or vertices ) to the middle point of the opposite side is called a median. A property of isosceles triangles, which is simple to prove using triangle congruence, is that in an isosceles triangle the median to the base is perpendicular to the base.

Then the two triangles are isosceles.

Means m∠DAB = m∠BDC = 32°

For the more information about the properties of isosceles triangle click the link given below.

https://brainly.in/question/13106654

Answer:

The radius of the track is 32 meters

Step-by-step explanation:

Circumference

The circumference of a circle can be defined as the distance around the circle or the length of a circuit along the circle.

Given a circle of radius r, the circumference of the circle can be calculated as follows:

[tex]L=2\pi r[/tex]

If we already know the length of the circle, we can solve the above expression for r:

[tex]\displaystyle r=\frac{L}{2\pi}[/tex]

The distance given around a circular running track is L=200 m, thus:

[tex]\displaystyle r=\frac{200}{2\pi}=31.830989\ m[/tex]

Rounding to the nearest meter:

r= 32 meters

The radius of the track is 32 meters

Answer: 3.9737436e-13

Step-by-step explanation: pi/12= 0.26179938779 to the tenth power = 5.0738475e-11 x 6/5.32018=  3.9737436e-13.

9514 1404 393

Answer:

  x = 4c-3d

Step-by-step explanation:

Cross multiply, separate variables terms and constant terms.

  [tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]

Answer:

A, C, E, F

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

Step-by-step explanation:

for 2.2 you would still have 5^2 in brackets still

same kind of error for 2.1

Answer:

(7, -6)

Step-by-step explanation:

You will graph it at this point because the point is basically the origin and when you rotate it clockwise 90° it will end up in Quadrant IV.

Answer:

Step-by-step explanation:

BD divides CBA into two angles. The add to 90 degrees. Therefore they are complementary.

The key word is complementary. The angles are <CBA and <DBA are complementary.

Answer:

Right angle or adjacent angle. I'm not sure if there was a vocabulary bank.

Step-by-step explanation:

Answer:

not a function

Step-by-step explanation:

you can not have one-to-many

there is two 3 in the X column  

Answer:

D.) y=-x-2

Step-by-step explanation:

Answer:

D.) y=-x-2

Step-by-step explanation:

Trust me I just know

Answer:

B. x = −3, x = −11

Step-by-step explanation:

−3|x + 7| = −12

-3x - 21 = -12 and -3x - 21 = 12

-3x - 21 = -12

      -3x = 9

          x = -3

-3x - 21 = 12

      -3x = 33

         x = -11

Answer:

y = 0 , x = 1

Step-by-step explanation:

jdbdjdajhsbsbs

Answer:

Step-by-step explanation:

The graph has both a vertical and horizontal asymptote to which the value

of the function approaches as the y-values and x-values approaches

infinity respectively.

Reasons:

The horizontal asymptote is the horizontal line that the function's graph

tends towards as the value of the input variable approaches infinity.

The horizontal line that the graph of the function approaches is y = 0

Therefore;

Similarly, the vertical asymptote is the vertical line that the graph of the

function approaches but never meets.

Therefore;

The graph of the function on the bottom left approaches the line x = 1 from

the left, while the graph of the function with the domain 0 < x < ∞,

approaches the line x = 1 from the right.

Therefore;

Learn more here:

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Answer:

81 cm square

Step-by-step explanation:

the answer is 121.5cm^2

Answer:

50 dollars an hour

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-(-x) ^3-x^3

x^3-x^3

=0

Answer:

C. None of these

Step-by-step explanation: