Hexagon K is a scaled copy of Hexagon J

Answers

Answer 1

The scale factor 5/2 takes hexagon J to hexagon K.

What is Hexagon?A hexagon or sexagon in geometry is a six-sided polygon or 6-gon that forms the shape of a cube. Any basic hexagon has 720° in total internal angles. No matter the type of hexagon, all of them have six sides. As a result, all types of hexagons—regular, asymmetrical, concave, and convex—have six sides. The hexagon, which has six sides mathematically, is particularly intriguing because it covers a plane with units of equal size and leaves no empty space. Because of its 120-degree angles, hexagonal packing also reduces a given area's perimeter.Hexagon AB, a leader in virtual reality hardware and software, was founded in 1992 and is a publicly traded, multinational information technology business with its headquarters in Stockholm, Sweden. Hexagon's B share is listed among the top firms by the Stockholm Stock Exchange.

From the given two Hexagon's K and L, the Hexagon K is copy to Hexagon K.

The scale factor = the ratio of edges

Scale factor = 20/8 = 30/12 = 5/2

Hence, the scale factor 5/2 takes hexagon J to hexagon K.

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Hexagon K Is A Scaled Copy Of Hexagon J

Related Questions

Write an equivalent expression by factoring the expression: 72d + 81

Answers

Answer:

9(8d + 9)

Step-by-step explanation:

Since 72 and 81 are both divisible by 9, we can factor out a 9 from the expression:

72d + 81

9(8d + 9)

So, the factored expression is 9(8d + 9)

Two cars start from the same intersection with one traveling southbound while the other travels eastbound going 10 mph faster. If after 2 hours they are 10sqrt(34) apart, how fast was each car traveling?

Answers

The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.

What is meant by intersection ?

They are referred to be intersecting lines when two or more lines in a plane cross each other. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.

Let speed of Car 1 = x mph

Speed of car 2 = (x + 10) mph

Hence,

OA = Distance travelled by car2 in 2 hours

⇒ OA = (x + 10) × 2 = 2x + 20

And, OB = Distance travelled by Car 1 in 2 hours

⇒ OB = x × 2 = 2 x

Now, In ΔOAB, OA² + OB² = AB²

substitute the values in the above equation

⇒  (2 x+20)² + (2 x)² = [tex](10 \sqrt{34})^2 \\[/tex]

⇒  4x² + 400 + 80x + 4x² = 3400

simplifying the equation

⇒ 8x² + 20x - 3000 = 0

⇒ x² + 10x - 375 = 0

⇒ x² + 25x - 15x - 375 = 0

simplifying the above equation, we get

⇒ x(x + 25) - 15(x + 25) = 0

⇒ (x + 25)(x - 15) = 0

⇒ x + 25 = 0, x - 15 = 0

⇒ x = -25, x = 15

Since speed can not be negative.

Hence, x = 15 mph

⇒ x + 10 = 15 + 10 = 25 mph.

Hence, speed of car moving towards south =15 mph.

And, speed of (as moving towards East = 25 mph.

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The speed of car moving towards south exists 15 mph and, speed of (as moving towards East = 25 mph.

What is meant by intersection ?

When two or more lines in a plane cross one another, they are referred to as intersecting lines. The common point shared by all intersecting lines is the point of intersection, which can be found on all of them.

What do you mean by Speed?

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Let speed of Car 1 = x mph

Speed of car 2 = (x + 10) mph

Hence,

OA = Distance travelled by car2 in 2 hours

⇒ OA = (x + 10) × 2 = 2x + 20

And, OB = Distance travelled by Car 1 in 2 hours

⇒ OB = x × 2 = 2 x

Now, In ΔOAB, OA² + OB² = AB²

substitute the values in the above equation

⇒  (2 x+20)² + (2 x)² =

⇒  4x² + 400 + 80x + 4x² = 3400

simplifying the equation

⇒ 8x² + 20x - 3000 = 0

⇒ x² + 10x - 375 = 0

⇒ x² + 25x - 15x - 375 = 0

simplifying the above equation, we get

⇒ x(x + 25) - 15(x + 25) = 0

⇒ (x + 25)(x - 15) = 0

⇒ x + 25 = 0, x - 15 = 0

⇒ x = -25, x = 15

Since speed can not be negative.

Hence, x = 15 mph

⇒ x + 10 = 15 + 10 = 25 mph.

Hence, speed of car moving towards south =15 mph.

And, speed of (as moving towards East = 25 mph.

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If the Standard Deviation was 3 and the average was 52, between what 2 values would contain
the middle 68%?
A) between 52 and 58
B) between 49 and 55
C) between 48 and 56
D) between two ferns

Answers

Answer:

between 49-55.

Find the surface area of the prism.

Answers

Answer:

6 x 3 = 18, 18 x 2 = 36

9 x 3 = 27, 27 x 2 = 54

6 x 9 = 54, 54 x 2 = 108

Add all given areas:

108 + 54 + 36 = 198 cm^2 is your answer.

Answer:

198 is surface area

Step-by-step explanation:

length = 6

width = 9

height = 3

use the formula

2(wl+hl+hw )

2(54+ 18+ 27)

99x2 =  198

A right triangle has one angle that measures 13°. What is the measure of the other acute
angle?

Answers

Answer:

25

Step-by-step explanation:

its needs to be under 90

Answer:

Explanation:

A triangle's three interior angles will add up to

180

. Since it's a right angle, that means one angle is

90

and the other is given as

15

.

Therefore,

90

+

x

+

15

=

180

So

x

=

180

90

15

x

=

75

The acute angle is

75

.

Lighthouse B is 9 miles west of lighthouse A. A boat leaves A and sails 4 miles. At this​ time, it is sighted from B. If the bearing of the boat from B is N​E65, how far from B is the​ boat?

Answers

Answer:

The distance of the boat from B is approximately 9.4 miles

Step-by-step explanation:

The location of light house B from A = 9 miles west

The distance of the boat from A = 4 miles

The bearing of the boat from A = NE65

We have;

4/(sin25) = 9/sin(B)

sin B = 9*sin(25)/4

B ≈ 71.969

a² = 4² + 9² - 2 × 4 × 9 × cos(180 - 25 - 71.969) ≈ 88.264

The distance of the boat from B, a ≈ √88.264 ≈ 9.4

EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!

Answers

The required graph of the system of linear equations has been attached below.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of linear equations is given in the question, as follows:

2x + y = 8      .....(i)

-x + 2y = 6    .....(ii)

To graph the equations using the slope and y-intercept,

1) To determine the slope m and the y-intercept, write the equation in the form y = mx + b. (0, b).

Plot the y-intercept next.

3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.

Thus, the required graph of the system of linear equations.

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Jack spends a total of $16.50 on one bag of popcorn and three drinks.
Jill spends a total of $29.75 for two bags of popcorn and five drinks.
Write a system of equations. Determine and state the price of a bag of popcorn and the price of a drink, to the nearest cent.

Answers

Answer:

Sure! Here's a system of equations we can set up to represent this situation:

Let x be the price of a bag of popcorn and y be the price of a drink.

Then we can set up the following system of equations:

x + 3y = 16.50 (equation for Jack's purchases)

2x + 5y = 29.75 (equation for Jill's purchases)

To solve this system of equations, we can use the substitution method.

First, we can solve for x in equation 1:

x = 16.50 - 3y

Then, we can substitute this expression for x into equation 2:

2(16.50 - 3y) + 5y = 29.75

Simplifying this equation, we get:

33 - 6y + 5y = 29.75

Combining like terms, we get:

33 - y = 29.75

Subtracting 29.75 from both sides, we get:

33 - 29.75 - y = -y

Simplifying, we get:

3.25 - y = 0

Subtracting 3.25 from both sides, we get:

-y = -3.25

Dividing both sides by -1, we get:

y = 3.25

So, the price of a drink is $3.25.

Now we can substitute this value for y back into equation 1 to solve for x:

x + 3(3.25) = 16.50

Simplifying, we get:

x + 9.75 = 16.50

Subtracting 9.75 from both sides, we get:

x = 6.75

So, the price of a bag of popcorn is $6.75.

To the nearest cent, the price of a bag of popcorn is $6.75 and the price of a drink is $3.25.

Step-by-step explanation:

please help: solve for x​

Answers

Answer:

x=3

Step-by-step explanation:

Since the altitude of this triangle is at the midpoint of the base,

It is a isosceles triangle making MJ=MK

9x-18=3x

6x-18=0

6x=18

x=3

The point Q has coordinates (2,3) The point R has coordinates (a,b) A line perpendicular to QR is given by the equation 5x+2y=9 Find an expression for b in terms of a

Answers

B = (2a + 11)/5 is an expression for b when expressed in terms of a.

What exactly are slopes and lines?

We are aware that lines might have several kinds of equations; the typical form is

The equation of a line in slope-intercept form is Ax + By + c = 0, and

y = mx + b.

m is the slope, and b is the y-intercept.

The y-intercept, or (0,b), is the point where the line crosses the y-axis when x = 0. The slope represents the rate of change of the y-axis relative to the x-axis.

Given:

Coordinates of point Q = (2,3)

Coordinates of point R = (a,b)

The equation of the line is 5x + 2y = 9 ⇒ 2y = - 5x + 9

Therefore, y = (-5/2)x + 9/2.

We know slope m = (y2 - y1) / (x2 - x1)

∴ m = (b - 3)/(a - 2).

∴ (2/5) = (b - 3).(a - 2).

2(a - 2) = 5(b - 3).

2a - 4 = 5b - 15.

2a + 11 = 5b.

b = (2a + 11)/5.

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What is the value 8?

Answers

The value 8 is a numerical value that represents the quantity of eight. It is the natural number following seven and preceding 9. It is an even number and can be written as the sum of two squares: 8 = 3^2 + 2^2 = 4^2. In binary, it is 1000.

Eight is in the first position and has a place value of 8. Understanding the place value of digits in numbers aids in number comparison. It also aids in the composition of numbers in their enlarged form. For example, the extended version of the previous number, 13,548, is 10,000 + 3,000 + 500 + 40 + 8.

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please help! it is so confusing

Answers

Answer:

4 maybe I don't understand what or how to do this but W is similar to M. I don't really know.

Step-by-step explanation:

- Find the perimeter and area of the rectangle shown.
3 m
12 m

Answers

Answer:

perimeter of the rectangle=2(12m+3m)

=30m

area of the rectangle=12m×3m

=36m

Solution ⸔

Perimeter of Rectangle = 2(l + b)

= 2(12 + 3)

= 2 × 15

= 30m

Area of Rectangle = l × b

= 12 × 3

= 36m

∴ The Perimeter and area of Rectangle are 30m and 36m respectively.

Change the following mixed numbers to improper fractions
a) 4 3/8
b) 2 1/3
c) 5 2/5

Answers

Answer:

a) 35/8

b) 7/3

c) 27/5

Step-by-step explanation:

Answer:

a) 35/8

b) 7/3

c) 27/5

Step-by-step explanation:

*to solve multiply the whole number by the denominater and add that total with the numerator, keep the denominater the same

a)

[tex]4 \frac{3}{8} [/tex]

[tex] \frac{32 + 3}{8} = \frac{35}{8} [/tex]

b)

[tex]2 \frac{1}{3} [/tex]

[tex] \frac{6 + 1}{3} = \frac{7}{3} [/tex]

c)

[tex]5 \frac{2}{5} [/tex]

[tex] \frac{25+ 2}{5} = \frac{27}{5} [/tex]

How to solve y-2=-2(x+3) when x equals -3

Answers

First add two on both sides.

Y=-2(x+3)+2

Then plug in -3 for x and simplify.

Y=-2(-3+3)+2

Y=-2(0)+2

Y=2

????????? help ?????????? please

Answers

Answer:

(y-x=1.75)×2

2y-2x=3.5

2y-2x+4x-2y=3.5+4

2x. =7.5

X=3.75

y-x=1.75,

y. =1.75+3.75

y=5.5

Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v

Answers

Answer:

hhhhhhhhhhhhhhhh hhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh

Ash and Bea are engravers. Ash charges a flat fee of $\$1.50$ for the first $21$ letters engraved, and $8$ cents per letter thereafter. Bea charges a flat fee of $\$1.60$ for the first $15$ letters engraved, and $7$ cents per letter thereafter. For what nonzero number of letters will Ash and Bea's engraving prices be the same?

Answers

The number of nonzero letters that will see Ash and Bea's engraving prices being the same, is  25 letters

How to find the number of letters ?

The formula for the cost to engrave with Ash, given that the number of letters engraved is x, would be :

= Flat fee + Cost per letter x Number of letters after 21 letters

= 1. 50 + 0. 08 x

The formula for the cost to engrave with Bea, given that the number of letters engraved is x, would be :

= Flat fee + Cost per letter x Number of letters after 15 letters

= 1. 60 + 0. 07 x

Equating these equations together will show the number of letters :

1. 50 + 0. 08 x = 1. 60 + 0. 07 x

0. 08 x - 0. 07 x =  1. 60 - 1. 50

0. 01 x = 1. 10

x = 0. 10 / 0. 01

x = 10 letters

Number of non zero number of letters would be 25 letters :
= 15 + 10

= 25 letters

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Which set of angle measures could be the measures of the interior angles of a triangle?
60°, 45°, and 70°
30°, 85°, and 25°
55°, 90°, and 35°
110°, 15°, and 45°

Answers

It’s the third set because their sum is 180!

Let r(x) = x2. If r(x) = 4, find x.

Answers

if r(x) = x² and r(x) = 4, then the value of x = ± 2

What is equivalent of value?

Equal means same in all aspects, whereas equivalent means similar but not identical. For example, 2 is said to be equal to 2 but equivalent to 1 + 1.

For example y = x+5 and the same y = 2x+7

then we can say that x+5 Is also equal to 2x+7

2x+7 = x+5

then x = -2

similarly r(x) = x²

thesame r(x) = 4

this means that x² = 4

solving for x

we find the square root of both sides

√x² = √4

x= ±2

It is ± because square root value as two possible values of either both positive or both negative.

Therefore the value of x is ±2

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Natalia paid a total of 38.95 for 3 pizzas and a salad. The price of each pizza was p dollars. And the price of the salad was 11.98 what is the cost of 1 pizza

Answers

Answer:

The cost for 1 pizza is $8.99

Step-by-step explanation:

We know

Natalia paid a total of 38.95 for 3 pizzas and a salad

A salad = $11.98

We first find the total cost of 3 pizzas by

38.95 - 11.98 = $26.97

$26.97 is the cost for 3 pizzas; to find the cost of 1 pizza, we take

26.97 divided by 3 = $8.99

So, the cost for 1 pizza is $8.99

Answer:

The cost of 1 pizza is $8.99.

Step-by-step explanation:

Let

[tex]t[/tex] = total price

[tex]p[/tex] = pizzas

[tex]s[/tex] = salads

Natalia bought 3 pizzas and 1 salad

[tex]38.95=3p+1s[/tex]

We are given the price of the salad.

[tex]38.95=3p+11.98[/tex]

Now we can find the cost of 1 pizza.

Lets solve for [tex]p[/tex].

Subtract 11.98 from both sides of the equation.

[tex]26.97=3p[/tex]

Divide both sides of the equation by 3.

[tex]p=\frac{26.97}{3}\\p=8.99[/tex]

Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality.

Answers

Answer:

It appears that the solution set of the inequality 5n + 1.5 ≥ 4 is the set of all real numbers greater than or equal to -0.3. This can be determined by looking at the graph and noting that the region to the right of the vertical line x = -0.3 is shaded, which indicates that all values of x in that region are included in the solution set.

To verify this, we can substitute -0.3 into the inequality in place of n to see if the inequality is satisfied:

5(-0.3) + 1.5 ≥ 4

This simplifies to:

-1.5 + 1.5 ≥ 4

Which further simplifies to:

0 ≥ 4

Since this is not true, -0.3 is not a solution of the inequality. However, all values of x that are greater than or equal to -0.3 are solutions, as indicated by the shaded region on the graph.

Step-by-step explanation:

find the value of 15/4 divided 5/8.show you reasong

Answers

[tex]\dfrac{15}{4} \div\dfrac{5}{8}[/tex]

In order to divide two fractions, you will need to use the KCF method.

Keep

Change

Flip

This means that we will keep the first fraction, change the division to multiplication, and flip the second fraction(reciprocal).

[tex]\dfrac{15}{4} \times\dfrac{8}{5}[/tex]

Multiply:

[tex]\dfrac{15}{4} \times\dfrac{8}{5}[/tex]

[tex]\dfrac{15\times8}{4\times5}[/tex]

[tex]=\dfrac{120}{20}[/tex]

Simplify:

[tex]120\div20[/tex]

[tex]=\fbox{6}[/tex]

Answer: 6

Step-by-step explanation:

1. 15/4 divided by 5/8 = 120/20

15/4 / 5/8 = 15/4 times 8/5 = 15 time 8 over 4 time 5 = 120/20

2. 120/6 = 6

A space ship travels at 57 miles per hour and traveled for 521 hours.
Select the answer that represents how many miles the space ship traveled.

Answers

Answer:29,697

Step-by-step explanation: multiply 57x521 and you get 29,697

The spaceship traveled 29,697 miles.

Solve for x using what you know about interior angles of the shape

Answers

Answer:

117

Step-by-step explanation:

The figure is five sided, therefore the sum of the angles = (5-2)180

                                                                                             = 3*180

                                                                                             = 540

113 + 123+97+90(since its right angles)+y(unknown) = 540

423 + y = 540

y = 540 - 423

y = 117

Let the angle vertically opposite to y be z

y = z (vertically opposite angles)

z = 117

x = 117 (Corresponding angles are equal)

Hope u understand.

Please mark as teh brainliest

i need help asap plz!!!​

Answers

Answer:

AC ≈ 10.3

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{9.3}[/tex] ( multiply both sides by 9.3 )

9.3 × tan48° = AC , then

AC ≈ 10.3 ( to 3 sf )

pls help with this :)))

Answers

Answer:

A

Step-by-step explanation:

Radius = 8

Volume = (pi)r^2(h)

Volume = (pi)8^2(7)

in exercise 15, find the expectation if a person buys two tickets. assume that the players ticket is replaced after each draw and that the same tiket can win more than one prize answer

Answers

The expectation is -$9.6

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, a lottery offers one $1000 prize, two $700 prizes, three $300 prizes, and four $200 prizes.

Expected winning per ticket :

Σ(X × p(X)) = [(1000 × 1/1000) + (600 × 2/1000) + (300 × 2/1000) + (200 × 5/1000) - price per ticket

= 1 + 1.2 + 0.6 + 1 - 7

= 3.8-7

= -$3.2

Expected winning if 3 tickets are purchased :

3 × (-3.2) = -$9.6

Hence, the expectation is -$9.6

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PLEASE HELP!!! PLEASE NO LINKS

Answers

Answer: 624

Step-by-step explanation:

12 times 8 is 96 and 96 divided by 2 is 48 and 48 times 13 is 624

Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5).

y =

Answers

The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)  is 2x+y = -2.

The line between these locations' slopes must equal the negative reciprocal of the bisector's slope. It must go through the segment midway.

The slope of the line through the given points :

m = (y2 -y1)/(x2 -x1) = (5 -(-1))/(4 -(-8)) = 6/12 = 1/2

Then, The slope of the required bisector:   m = -1/(1/2) = -2

The midpoint of the given segment:

((-8, -1) +(4, 5))/2 = (-8+4, -1+5)/2 = (-4, 4)/2 = (-2, 2)

Then the point-slope form of the equation of the bisector:

y -y1 = m(x -x1)

y -2 = -2(x -(-2))

y = -2x -4 +2

y = -2x -2 . . . . . . . slope-intercept form equation

2x +y = -2 . . . . . . .standard form equation

Thus, The equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5)  is 2x+y = -2.

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An investment of $2,500 compounded continuously at an annual interest rate of 2.5%.The investment is kept in the account for 25 years. Measure of Damages. Before buying a house, Dean and Donna Testa hired Ground Systems, Inc. (GSI), to inspect the sewage and water disposal system. GSI reported a split system with a watertight septic tank, a wastewater tank, a distribution box, and a leach field. The Testas bought the house. Later, Dean saw that the system was not as GSI describedthere was no distribution box or leach field, and there was only one tank, which was not watertight. The Testas arranged for the installation of a new system and sold the house. Assuming that GSI is liable for breach of contract, what is the measure of damages? [Testa v. Ground Systems, Inc., 206 N.J. 330, 20 A.3d 435 (App.Div. 2011) Explain why Hitlers blitzkrieg tactics were successful at the beginning of the war? "But this secret, swift, and extraordinary buildup of Communist missilesin an area well known to have a special and historical relationship to the United States and the nations of the Western Hemisphere, in violation of Soviet assurances, and in defiance of American and hemispheric policy this sudden, clandestine [secret] decision to station strategic weapons for the first time outside of Soviet soilis a deliberately provocative and unjustified change in the status quo which cannot be accepted by this country, if our courage and our commitments are ever to be trusted again by either friend or foe. . . . " President John F. Kennedy, October 22, 1962This statement by President Kennedy is most closely associated with the:A. Bay of Pigs invasionB. United States-Soviet space raceC. nuclear test ban controversyD. Cuban missile crisis Use the distributive property to simplify each expression.-2(x - 2) + 5xplease help uman muscles have an efficiency of about __________. A. 9 to 17% B. 18 to 26% C. 27 to 35% D. 36 to 44% Please select the best answer from the choices provided. A B C D Was the New Deal successful in relief? i need serious help ! ill mark brainiest ;)Where and when will the vaccine be distributed ? If a jacket is marked up 75% to be $350 and a month later is 20% off and then two weeks later is 30% off how much money did the company gain or lose PLEEEEASE HELP!!!!! When you took the salad out of the refrigerator for dinner, the lettuce looks wilted and some water was in the bottom of the bowl. Use the principles of osmosis to explain what happened. why Tues1.There were 32 brown ducklings at a pond. Twice asmany white ducklings arrived., 1/2 of the brown ducklingsflew away. How many ducklings are there now, at thepond? Which scenario can be best represented by the equation y = 139x + 200? im min ph cho ngy ca m sp n. Chc mt ngy tt lnh Question in picture CIRCUITS What happens to protease after protein digestion? I need help real quick Choose the correct form of the verbs Ser or Estar. Ella ____ bailando flamenco. Write an expression equivalent to 4-2(x+5) that has two terms Which section of the osh act prohibits employers from discriminating against workers help me out here plz, can u solve this problem and ill give u 10 points.