Isolate the variable to find the solution of the equation. 6. 2w = 18. 6 w = 3 w = 12. 4 w = 24. 8 w = 115. 32.

Step-by-step explanation:

the easiest way to answer this is to calculate the area of the large rectangle (white) and subtract the area of the small rectangular (black).

we know the dimensions of the small rectangle : 10×6

and because of the 2m thick "frame" we know the dimensions of the large rectangle by adding 2×2 m to every small dimension : 14×10

(2 m on the top and the bottom, and 2 m left and right, so 4 m added in every direction).

the area of the large rectangle is

14 m × 10 m = 140 m²

the area of the small rectangle is

10 m × 6 m = 60 m²

so the area of the path is

140 - 60 = 80 m²

Explanation:

There are many approaches you can take. Perhaps one of the easiest is to show the sides of the rhombus are all the same length. This can be done several ways. Here are a couple of them.

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A square has degree 4 rotational symmetry, so will map to itself when rotated by any multiple of 90°. This means the midpoints of adjacent sides will map to themselves, and any segment joining the midpoints of adjacent sides will map to itself. When segments map to themselves, they are congruent, hence the four sides of EFGH are congruent, and the figure is a rhombus.

__

The sides of a square are the same length and all corner angles are right angles. Midpoints of the sides divide the sides into congruent parts, so all of the segments PF, FQ, QG, GR, and so on are congruent. This means all of the triangles PFE, QGF, RHG, and SEH are congruent by the LL postulate. Corresponding sides of congruent triangles are congruent, so the sides of EFGH are congruent, and the figure is a rhombus.

Answer:

3

7

last one doesn't even make sense

Answer:To calculate the sales tax that is included in a company's receipts, divide the total amount received (for the items that are subject to sales tax) by "1 + ...

Step-by-step explanation:

According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.

Second, the rule is different for each row.

2x5=10

4x4=16

6x3.6=22

A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.

Find common ratio

Yes they are proportional

Answer:

(1, -2)

Step-by-step explanation:

Since (-1, -2) is in quadrant 3 and reflected to quadrant 4, the values become (+, -)
Hope this helps :)

Answer:

-2

Step-by-step explanation:

25°-27°= -2°

At noon, the temperature outside was 25 degrees. By 8:00pm, the temperature had dropped 27 degrees. What was the temperature outside at 8:00pm, in degrees?

= 25 - 27

= - 2°

Answer: C

Step-by-step explanation:

Answer:

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.

Answer:

B. -∞ [tex]\leq[/tex] x [tex]\leq[/tex] ∞

Step-by-step explanation:

The domain of a graph is all the x-values it covers. Since this graph does not have any arrows at its end or beginning points, we can assume it goes on forever. Lines that go on forever always have an infinite domain.

Answer:

33.3333333333

Step-by-step explanation:

we see that there are 6 candies in total

we also see that there is a 50% chance that someone will take out 3 candies of the same color,

50/3 = 16.66666666666667

so the chance of getting 2 marbles of the same color is 16.66666666666667 + 16.66666666666667 which is 33.3333333333

I hope I could help

Answer:

To find each length in the new scale drawing, you can multiply each length in the original scale drawing by this scale factor between the two scale drawings. ▫.

fdddkgStep-by-step explanation:

[tex]3(x - 2) + 7x = \frac{1}{2} (6x - 2) [/tex]

[tex]3(x - 2) + 7x = \frac{1}{2} (6x - 2) \\ \\ \implies3x - 6 + 7x = ([\frac{1}{2} \times 6 \: x] - [\frac{1}{2} \times 2]) \\ \\ \implies10x - 6 = ([\frac{1}{ \cancel2} \times \cancel 6 \: x] - [\frac{1}{ \cancel2} \times \cancel2]) \\ \\ \implies 10x - 6 = 3x - 1 \\ \\ \fbox{Bringing (3x )to left side whereas( - 6 )in right side} \\ \\ \implies10x - 3x = - 1 + 6 \\ \\ \implies7x = 5 \\ \\ \therefore x = \frac{5}{7} [/tex]

The Solution is = [tex] \frac{5}{7}[/tex]

[tex]\text\red{One Solution set is possible.}[/tex]

Answer:

h=[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]6h-1=-3\\6h=-2\\h=-\frac{2}{6} \\h=-\frac{1}{3}[/tex]

Answer:

Step-by-step explanation:

Isolate by the h from one side of the equation.

6h-1=-3

First, add by 1 from both sides.

[tex]\sf{6h-1+1=-3+1}[/tex]

Solve.

-3+1=-2

Rewrite the problem down.

6h=-2

Then, you divide by 6 from both sides.

[tex]\sf{\dfrac{6h}{6}=\dfrac{-2}{6} }[/tex]

Solve.

-2/2=-1

6/2=3

Rewrite as a fraction.

[tex]\boxed{\sf{h=-\dfrac{1}{3}=0.33}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

a= 50

b=50

c=110

d=20

Answer:

Step-by-step explanation:

This is a kite. So the two triangles formed by the longest diagonal being drawn in form 2 congruent triangles.

Therefore c = 110 degrees.

d = 20 degrees.

a and b are found by noting that every triangle has 180 degrees.

110 + 20 + a = 180           Combine the left.

130 + a = 180                   Subtract 130 from both sides

a = 180 - 130

a = 50 degrees

b also equals 50 degrees.  Congruent triangles

Answer

Answer:

$120

Step-by-step explanation:

Total Parts = 3+2+5 = 10

400 / 10 = $40 per part

Amy = 40 x 3 = 120

Answer:

45 ft^2.

Step-by-step explanation:

Area = area of the square + 2 * area of one triangle

= 5^2 + 2 * 1/2 * 5 * 4

= 25 + 20

= 45 fT^2.

Answer:

240

Step-by-step explanation:

Answer:

-3.86

Step-by-step explanation:

Answer:

For question 2: 15/4.

For question 3: 10/8.

Step-by-step explanation: To multiply fractions, you multiply the numerators and then the denominators.  We should first transform any whole numbers into fractions.  The first step is done below:

For question 2: 5 to 5/1.

For question 3: 2 to 2/1.

Now, we can multiply the numerators and denominators to answer the following:

For question 2: 5/1 x 3/4.  The numerators are 5 and 3, so multiply those to get 15.  The denominators are 1 and 4, so multiply those to get 4.  Your answer is 15/4.

For question 3: 2/1 x 5/8.  The numerators are 2 and 5, so multiply those to get 10.  The denominators are 1 and 8, so multiply those to get 8.  Your answer is 10/8.

Let me know if this is right! :)

Answer:

302.8

Step-by-step explanation:

If you ever have a calculator by your side remember that a percentage is just a decimal moved two digits to the left. So in this case, the equation is just 757•0.4. Sorry, however, I do not know what you're asking at the top part.

Answer:

Step-by-step explanation:

The expression that best represents the value of pi is 53/d.

Pi can be described as the ratio of the circumference of a circle to its diameter. The circumference of the patio is the distance round the patio. The formula that can be used to represent the circumference of the patio is πD

53 = πD

π = 53/d

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

Answer:

The answers are C, D, and F

Step-by-step explanation:

Answer:

3/9

Step-by-step explanation:

Okay, first let's list all the numbers between 1 and 9

1, 2, 3, 4, 5, 6, 7, 8, 9

Now let's list all of the even numbers from the previous list

2, 4, 6, 8

Now let's list all of the numbers from the previous list that are equal to, or greater than, 4

4, 6, 8

That's only three potential numbers, out of a total of nine numbers

So it's a 3/9 chance

Answer:

32.97 inches

Step-by-step explanation:

Given

Solving

Answer:

D) 130

Step-by-step explanation:

So there are three arc sections in this problem,

The first one is given: 158

To find the arc between S and R, you can use the angle of point T and double it.

So:

36 * 2 = 72

The second arc is 72

Now for the one that they want you to find, you have to add the two arcs that you have and substract it from 360, which is the angle of a whole circle

Like so:

360 - (158 + 72) = 130

Answer:

130

Step-by-step explanation:

Answer:

C)   [tex]y=-0.5x+8[/tex]

Step-by-step explanation:

Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.

All the given options for the line of best fit are linear equations.

Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.

Linear equation:  [tex]y=mx+b[/tex]

(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)

From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8.  So this suggests that options C or D are the solution.

We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).

Therefore, C is the solution, and the closet approximation to the line of best fit is [tex]y=-0.5x+8[/tex]

Answer:

7

Step-by-step explanation:

1. Solve for x in [tex]x^2 = 3x - 1[/tex].

[tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex]

2. Substitute [tex]x=\frac{3+ \sqrt{5}}{2} ,\frac{3- \sqrt{5}}{2}[/tex] into [tex]x^2 + \frac{1}{x^2} = y[/tex].

[tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

3. Solve for y in [tex]\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2} = y[/tex]

[tex]y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]

4. Therefore,

[tex]x=\frac{3 + \sqrt{5} }{2}, \frac{3-\sqrt{5}}{2}\\y=\frac{(3+\sqrt{5})^2}{(2,2(3-\sqrt{5}))^2} + \frac{(2,2(3-\sqrt{5}))^2}{(3 + \sqrt{5})^2}[/tex]

............

[tex]x= \frac{3-\sqrt{5}}{2}[/tex]≈[tex]0.381966011, y=7[/tex]

[tex]x= \frac{\sqrt{5}+3}{2}[/tex]≈[tex]2.618033989, y=7[/tex]

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Please rate and click the Thanks button if it helped you out. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

The best way to predict the future is to create it.

- Abraham Lincoln, Past U.S. President

Answer:

7

Step-by-step explanation:

Given equation:  [tex]x^2=3x-1[/tex]

Rearrange so that it is equal to zero:

[tex]\implies x^2-3x+1=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Using the quadratic formula to solve the given equation:

[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(1)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{3 \pm \sqrt{5}}{2}[/tex]

[tex]\implies x^2=\dfrac{7 \pm 3\sqrt{5}}{2}[/tex]

Substituting this into [tex]x^2+\dfrac{1}{x^2}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{1}{\dfrac{7\pm3\sqrt{5}}{2}}[/tex]

[tex]\implies \dfrac{7\pm3\sqrt{5}}{2}+\dfrac{2}{7\pm3\sqrt{5}}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}+\dfrac{4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{(7\pm3\sqrt{5})(7\pm3\sqrt{5})+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{49\pm42\sqrt{5}+45+4}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{98\pm42\sqrt{5}}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14(7\pm3\sqrt{5})}{2(7\pm3\sqrt{5})}[/tex]

[tex]\implies \dfrac{14}{2}[/tex]

[tex]\implies 7[/tex]