Which of the following are reasons used in the proof that the equilateral triangle construction actually constructs an equilateral triangle?

[tex]3 + {2x}^{2} \: where \: x = 4. \\ = 3 + 2 \times {4}^{2} \\ = 3 + 2 \times 16 \\ = 3 + 32 \\ = 35[/tex]

Answer:

A. without changing the setting of the compass, place the point of the compass on point D and drawn out the intersects line L and extends below line L.  

Step-by-step explanation:

In the figure attached, the procedure is shown.

In this case, we are at step 2, the first arc was made, and you have to make the second arc (without changing the setting of the compass) placing the point of the compass on point D.

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 13 and h = 4 , thus

A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A

Answer:

A, 26

Step-by-step explanation:

Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

The data provided is as follows:

X     Frequency

8        0

8.1        0

8.2        2

8.3        2

8.4        2

8.5        3

8.6        0

8.7         1

8.8        0

8.9         1

 9           0

So, the actual data is:

S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

The data set is arranged in ascending order.

The minimum value is, Min. = 8.2

The lower quartile is,

[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],

Q₁ = 8.3.

The median value is,

[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]

Median = 8.4

The upper quartile is,

[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],

Q₃ = 8.5.

The maximum value is, Max. = 8.9.

So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Answer:

The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.

Step-by-step explanation:

I took the practice test

Answer:

its a

Step-by-step explanation:

Answer:

[tex]x^{21/5}[/tex]

Step-by-step explanation:

Step 1: Convert [tex]\sqrt[5]{x^{7}}[/tex] into exponential form

[tex]((x^7)^{1/5})^{3}[/tex]

Step 2: Mulitply the 2 exponents together

[tex](x^{7/5})^{3}[/tex]

Step 3: Multiply the exponents again

[tex](x^{7/5})^{3}[/tex] = [tex]x^{21/5}[/tex]

Answer:

[tex]6\:\mathrm{pages}[/tex]

Step-by-step explanation:

[tex]3 \times 4 = 12[/tex]

[tex]1\frac{1}{2} \times 4=6[/tex]

Answer:

6 pages

Step-by-step explanation:

1.5 pages         x pages

--------------- = ------------

3 minutes         12 minutes

Using cross products

1.5 * 12 = 3x

Divide each side by 3

18 /3 = 3x/3

6 =x

6 pages

Answer:

C). Zero

Step-by-step explanation:

This is a pretty simple question.

Any number multiplied by zero will be zero, and zero cannot have a positive or negative sign, which is why zero has its own sign, which is known as the Sign of Zero.

X-4 /3 > -5

Multiply both sides by 3

X-4 > -15

Add 4 to both sides

X > -11

Answer:

[tex] \frac{x - 4}{3} > - 5[/tex]

[tex]x - 4 > 3 \times ( - 5)[/tex]

[tex]x - 4 > - 15[/tex]

[tex]x > - 15 + 4[/tex]

[tex]x > - 11[/tex]

Step-by-step explanation:

Answer:

m∠B ≈ 41.81°

Step-by-step explanation:

If we draw a picture, it would help a lot. Once we visualize the triangle, we can see that we have sin∅ = 2/3. So, plugging into your calc,

sin∅ = 2/3

∅ = sin^-1(2/3)

∅ = 41.8103

Answer:

45 + c = 110

c = 65

Step-by-step explanation:

110 - 45 = 65

Please mark as brainliest!

Answer:

They need to wash 65 more cars to reach their goal.

Step-by-step explanation:

45+c=110

subtract 45 from both sides

c=65

Answer:

-80

Step-by-step explanation:

Solve for x for the x value.

Answer:

The answer is A because the quadratic equation formula

Step-by-step explanation:

because the quadratic equation formula is

ax^2+bx+c=0

and when you sub A into it, you get it in the needed form

Answer:

The Answer is A

Step-by-step explanation:

Answer:

A. True

Step-by-step explanation:

The locus of points idea allows you to define objects in terms of points and given distances.

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

first find the side length by

considering a triangle under

the square

[tex]l \: = \sqrt{ {3}^{2} + {1}^{2} } = \sqrt{10} \: cm \\ area \: = \: \sqrt{10} \times \sqrt{10} = 10 \: {cm}^{2} \: \: \: \: ans[/tex]

Answer:

c

Step-by-step explanation:

The equation of the perpendicular bisector will be y = -x + 2. The correct option is A.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line is,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -8 + 12 ) / ( 10 - 6 )

Slope = 4 / 4

Slope = 1

The slope of the perpendicular line will be inverse and opposite,

y = mx + c

y = -x + c

-8 = -10 + c

c = 2

The equation can be written as,

y = mx + c

y = -x + 2

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

x ≈ 6.9

Step-by-step explanation:

We use tan∅ to solve this:

tan21° = x/18

18(tan21°) = x

x = 6.90955

Answer:

10

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

Answer:

10

Step-by-step explanation:

2 is the least prime number because it is not a product of any two smaller natural numbers. m=2

12 is the least positive integer multiple of 12. n=12

12-2=10

First divide 36 by 9 and get 4, now you have your number of minutes per song. Now multiply that by 20 to get 80 minutes for 20 songs.

In short: 80 minutes for 20 songs.

Step-by-step explanation:

There it is..................

Answer:

(2,5)

Step-by-step explanation:

Answer:

c  sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

Step-by-step explanation:

The distance formula is

d = sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

It is the difference between the coordinates.  It is based on the Pythagorean theorem

Answer:

Perimeter of the rectangle is 16x+18 units.

Step-by-step explanation:

The area of rectangle is

[tex]7x^2+57x+8[/tex]

First we have to find the factor form of above expression.

Splitting the middle term, we get

[tex]7x^2+56x+x+8[/tex]

[tex]7x(x+8)+1(x+8)[/tex]

[tex](x+8)(7x+1)[/tex]

Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).

Perimeter of a rectangle is

[tex]Perimeter=2(l+b)[/tex]

[tex]Perimeter=2[(x+8)+(7x+1)][/tex]

[tex]Perimeter=2[8x+9][/tex]

[tex]Perimeter=16x+18[/tex]

Therefore, the perimeter of the rectangle is 16x+18 units.

Answer:

(B) The electrician charges $40 per hour.

Step-by-step explanation:

Total cost=fixed cost + variable cost

F(x)=60+40x

Fixed cost =60

Variable cost=40x

x=hours of service

40=40 dollar per hour charge

The coefficient 40 represent the electrician charge of $40 per hour

(B) The electrician charges $40 per hour.

Answer:

Smallest angle - ∠M

Largest angle - ∠N

Step-by-step explanation:

In a triangle opposite side of a largest angle is largest and opposite side of a the smallest angle is smallest.

In the given triangle LMN,

Side lengths of the triangle have been given as,

LM = 27 in.

MN = 25 in.

LN = 24 in.

Relationship in these sides will be,

LM > MN > LN

Therefore, relationship in their opposite sides will be,

∠N > ∠L > ∠M

The smallest angle of the triangle is angle M.

And the largest angle of the triangle is angle N.

Answer:

Input interpretation:

solve x×4 x - 4 - 3 x^2 - 16 = 6 x + 4 - 112×372 - 432×112

Results:

x = 3 - i sqrt(90015)

x = 3 + i sqrt(90015)

Answer:

[tex]8x^{2} -3x-5[/tex]

Step-by-step explanation:

[tex]8x^{2} +4x+4-7x-9[/tex]

[tex]8x^{2} +4x-7x+4-9[/tex]

[tex]8x^{2} -3x-5[/tex]

Answer:

Solution,

X=8

y=4

Now,

[tex] \frac{x + 10}{y + 5} \\ = \frac{8 + 10}{4 + 5} \\ = \frac{18}{9} \\ = 2[/tex]

hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

x^4 – 16x^3 + 96x^2 – 256x + 256

terms with odd exponents are negative

x^4 has a coefficient of one, so the expression's GCF is 1

Thus, we need to factor out the expression as it is:

(x-4)*(x-4)*(x-4)*(x-4)

Lets multiply it out to check:

(x-4)*(x-4)*(x-4)*(x-4)=

(x^2-8x+16)*(x^2-8x+16)=

x^4−8x^3+16x^2−8x^3+64x^2−128x+16x^2−128x+256=

x^4 – 16x^3 + 96x^2 – 256x + 256

thus, the factored form is:

(x-4)*(x-4)*(x-4)*(x-4) or (x-4)^4

Answer:

the answer is true

Step-by-step explanation:

Because a parallelogram would be the result.

Answer:

(1) Correct option (A).

(2) The probability that Aadi will get Tails is 0.40.

Step-by-step explanation:

The information provided is:

The probability of tail in both cases is:

[tex]P(T|E)=\frac{3}{10}=0.30[/tex]

[tex]P(T|S)=\frac{20}{50}=0.40[/tex]

Here,

P (T|E) implies the probability of tail in case of Eric's experiment.

P (T|S) implies the probability of tail in case of Sue's experiment.

(1)

Now, it is given that Aadi is going to throw the coin once.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the probability of Aadi getting Tails in a single toss.

As Sue uses a larger number of trials in the experiment, i.e. n = 50 > 30 times, according to the Central limit theorem, Sue's estimate is best because she throws it .

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

[tex]P(\text{Aadi will get Tails})=P(T|A)[/tex]

                                   [tex]=P(T|S)\\\\=0.40[/tex]

Thus, the probability that Aadi will get Tails is 0.40.

Answer:

The correct answer is C and 23/60

Step-by-step explanation:

Sue's estimate is best because she throws it more times than Eric.

This is because the more you throw a coin the more reliable the results will be compared to data from a coin that has been thrown less, therefore the answer is C.

For the second half you need to add the number of tails together to get you numerator and then add the amount of times the coin was thrown to get your denominator, (giving you 23/60)

Hope this helped :)