One way to prove this quadrilateral is a square is by calculating the slopes of its sides and the slopes of its diagonals.
If we can prove that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals, then the quadrilateral shown ab
By examining it we found that:
If your answer is a fraction enter is as a fraction. Example: To enter negative one fifth type: -1/5
a. Slope of CB is
b. Slope of DA is
so DA is parallel to CB
c. Slope of CD is
so CD is perpendicular to CB
d. Slope of BD is
e. Slope of CA is
so CA is perpendicular to BD

The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.

What is needed to construct a hexagon?

By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.

On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.

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Answer:

The correct answer is six equilateral triangles.

Step-by-step explanation:

The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.

The equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Given, that a hyperbola centred at the origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0)

In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.

The formula for a hyperbola centred at the origin is [tex]\frac{x^2}{a^2} -\frac{y^2}{b^2 } =1[/tex]

The vertices are located at (±a, 0), so we have that the value of a is [tex]\sqrt{61}[/tex].

The foci are located at (±c, 0), where [tex]c^2 = a^2 + b^2[/tex].

So if we have that [tex]c = \sqrt{98}[/tex], we can find the value of b:

[tex]98 = 61 + b^2[/tex]

⇒ [tex]b^2 = 37[/tex]

⇒ [tex]b = \sqrt{37}[/tex]

So, the formula for this hyperbola is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

Therefore, the equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at  (±[tex]\sqrt{98}[/tex], 0) is  [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].

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The graph is shown below:

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Rearrange unknown terms to the left side of the equation:

|x|  > 7/2-1

Now,

|x|  > (7-2)/ 2

Calculate the sum or difference:

|x|  > 5/ 2

Convert the absolute inequality to standard inequality:

x> 5/2  or  x< -5/2

Solve the inequality:

x> 5/2

Solve the inequality:

x< -5/2

Graph on number line is attached

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Answer:

Length of pipe = 21 cm

Internal diameter = 4 cm

Internal radius = \frac{4}{2} = 2 cm24=2cm

Thickness = 0.5 cm

Outer radius = 2+0.5=2.5 cm

Volume of pipe =\pi R^2 h - \pi r^2 hπR2h−πr2h

Volume of pipe =\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3

=\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3722(2.5)2(21)−722(2)2(21)=148.5cm3

Hence The volume is 148.5 cubic cm.

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The thickness of a metal pipe is 1.5cm. The inner diameter is 21cm. What is the volume of metal required for a pipe of length 7cm

Answer:

4 more wrenches than screwdrivers

Step-by-step explanation:

6+8=14

14-10=4

therefore there are 4 more wrenches than screwdrivers.

:)

Answer:

14

Step-by-step explanation:

solution

Screwdrivers- 10

wrenches- 6

if bella adds 8 more wrenches.

= 6 + 8

=14

Now, there are 14 wrenches in the box

What Lewis did wrong was that; He budgeted more than the maximum recommended amount of money for transportation.

We are given;

Net spendable income = $2,000 per month

Now, we see how much he has budgeted for other items such as Car payments, Gas/Oil, Insurance, License/Registration, Taxes, Maintenance/Repair.

Now, from the recommended transportation budget of between 15% - 20% of the  net spendable income, we can see that he would likely spend more than that if we add the cost of maintenance and repair.

Thus, what Lewis did wrong was that he budgeted more than the maximum recommended amount of money for transportation.

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Answer:

Step-by-step explanation:

Answer:

A. He budgeted more than the maximum recommended amount of money for transportation. PLATO (Im 100% sure

x=4 y=5

if we put two pharases together

the answer is as follows pic :

x=4 y=5

Answer:

a^12+8

Step-by-step explanation:

let's check all the expressions

1. a^3+18

here 18 is not a perfect cube.

2. a^6+9

here 9 is not a perfect cube.

3. a^9+16

here 16 is not a perfect cube.

4. a^16+8

here 8 is a perfect cube, thus we can write above expression by using laws of exponents as

(a^4)^3+2^3

Thus,  is a sum of cubes.

a^12+8

============================================================

Explanation:

r = distance from the origin (0,0) to a point on the polar curve

To find the length of the flower petal, we need to max out r (i.e. get it as large as possible).

Recall that sin(x) maxes out at 1, so that also applies to sin(2θ) as well.

Therefore, r = 7*sin(2θ) maxes out at r = 7*1 = 7 and this is the length of each petal. Basically it's the number out front of the sine term.

The graph is shown below. To type the symbol θ into desmos, you need to type "theta" without quotes.

The complete options are P(opposed the tax or is female) = 0.28, b. P(supports the tax or is male) = 0.15, c. P(is not unsure or is female) 0.025.

Probability refers to a possibility that deals with the occurrence of random events.

(a) The probability that the person opposed the tax or is female.

P(opposed the tax or is female) = 298 / 1052 = 0.28

(b) The probability that the person supports the tax or is male.

P(supports the tax or is male) = 168/1052 = 0.15

(c) The probability that the person is not unsure or is female.

P(is not unsure or is female) = 27 / 1052 = 0.025

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After 3 months memberships will cost the same.

We have,

Cost of Membership of 1st gym = $ 10  per month

And, the Cost of the sign-up fee for 1st gym = $ 45

And,

Cost of Membership of  2nd gym =  $ 25 per month

And, the Cost of the sign-up fee of the 2nd gym = $ 0

Now,

Let the number of months = m

So,

According to the question;

45 + 10m = 25m

⇒

25m - 10m = 45

15m = 45

m=3

So, After 3 months memberships will cost the same.

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Answer:

3 pairs

Step-by-step explanation:

10% of 7.50 is 0.75. So one pair will cost $8.25. Now, 25.86/8.25 and you get 3 pairs

Answer:

[tex]\fbox {3 pairs}[/tex]

Step-by-step explanation:

Cost of 3 pairs with tax :

⇒ 7.50 × 3

⇒ 22.50

* Adding tax *

⇒ 22.50 + 22.5 (0.1)

⇒ 22.50 + 2.25

⇒ 24.75

∴ Since 24.75 is less than 25.86, Jean can buy 3 pairs of shoes.

Answer:

10 cm is 20% of 50 cm.

Step-by-step explanation:

1) Put the "question" into fraction form: 10/50

2) Divide the numerator by the denominator (essentially changing the fraction into the decimal form): 10 ÷ 50 = 0.2

3) Multiply the quotient by 100: 0.2 × 100 = 20

4) Slap a "%" on the end and you're good to go!! : 20%

Answer:

4x = 14

Step-by-step explanation:

7x + 2y = 17

– (3x + 2y = 3)

- - -

4x = 14

So, the correct option is A. 4x = 14

Hope it helps!

The relationships between angles 1, a, b, and 2 can be defined using the angles between parallel lines.

In the diagram, we can see the fences, making angles 1 and 2 with the parallel lines X and Y respectively.

Using the angles among parallel lines, we can state the relationships between angles 1, a, b, and 2 as follows:

These were the relations among angles 1, a, b, and 2, using the parallel lines X and Y.

Refer to the diagram for a better understanding.

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Answer: No, the stand will not support the TV. It is too heavy.

Work Shown:

1 kg = 2.2 lbs approximately

21*1 kg = 21*2.2 lbs

21 kg = 46.2 lbs

A 21 kilogram tv is roughly equivalent to 46.2 pounds.

This exceeds the 40 pound weight limit, so this stand will not support it.

Answer: No

Step-by-step explanation:

Weight limit = 40 Lb

Weight given = 21 kg

Conversion factor

2.2 Lb = 1 kg

2.2 x 21 = 46.2

46.2 Lb = 21 kg

46.2 > 40, the stand cannot support the TV

Answer:

400 children tickets and 600 adult tickets.

Step-by-step explanation:

children tickets in total cost=400x2.50

                                             =1000

adult tickets in total cost=600x5.00

                                             =3000

total cost is 4000

Answer:

36 ft^2

Step-by-step explanation:

Perimeter = 4 + 4 + 2 +2 = 12 feet

  12 feet x 3 feet high = 36 ft^2

x = the quantity of 3 plus or minus the square root of 29 all over 2. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0.

Then the solution is given as

[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]

The quadratic equation is given below.

x² – 3x – 5 = 0

Then the solution of the equation will be

[tex]\rm x = \dfrac{-(-3)\pm \sqrt{(-3)^2 - 4 *1*(-5)}}{2*1}\\x = \dfrac{3 \pm \sqrt{29}}{2}[/tex]

Then the correct option is B.

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Answer:

11) 195312

13) 5461

Step-by-step explanation:

11)

15÷(-3) = -5

(-75)÷15 = -5

375÷(-75) = -5

It’s clear that the common ratio of this geometric sequence is -5

Then using the sum formula for geometric sequences :

[tex]S_{11}=\left( -3\right) \times \frac{1-\left(-5 \right)^{8} }{1-(-5)} =-\frac{1}{2}\times(1-(-5)^8)=195312[/tex]

……………………………………………………

13)

[tex]S_{13}=1\times \frac{1-4^{7}}{1-4} =-\frac{1}{3} \times(1-4^{7})=5461[/tex]

To answer this question, we need to know what absolute value is in the first place. ANSWERS ARE AT THE BOTTOM.

Absolute value represents how far something is from 0 in a number line.

For example, lets take 4.

4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.

Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.

Now let's look at your problem.

You want the absolute value of 0 and -4/5

Following the same principle above about the distance from 0, here are your answers:

Absolute value of 0: 0

Absolute value of -4/5: 4/5

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Using the ASA congruency the triangles are congruent.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

For the two of the given triangles ΔACY and ΔDXB,

Since the measure of the two angles and one side of the two triangles are equal, therefore, using the ASA congruency the triangles are congruent.

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Answer:

The answer is true!!!

Step-by-step explanation:

If m=100, 100-63=37 which is true.

[tex]\text{Let's factor this quadratic.}\\\text{ We can start by thinking of two numbers such that,}\\\text{ if they are multiplied together, the product is 9}\\\text{if they're added together, the sum is -10, the middle term.}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{These numbers are -9 and -1.}\\\text{Checkup::}\\\text{-9*(-1)=9 and -9+(-1)=-10. The answer is good}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{Now, write these numbers as factors::}\\\text{(x-9)(x-1)=0 (make sure that the equation is \textbf{set to zero})}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{Now we can solve these mini equations in terms of x::}\\\text{x-9=0; \, x=9}\\\text{x-1=0; x=1}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\text{Our factors are:: \textsl{9 and 1}}[/tex]

Answer:

x=1

Step-by-step explanation:

The highest score is 32.

The mean refers to the average of a set of values.

Total players = 8

Mean= 14.5

Now, total score of 8 players,

= 14.5*8

=116

and, Total score for the remaining 7 players

= 12 * 7

= 84

Hence, the highest score is 116-84 =32

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Answer: 0.88 (the 8 recurs)

Step-by-step explanation:

[tex]\frac{4}{9}[/tex]÷[tex]\frac{1}{2}[/tex]

[tex]\frac{4}{9}[/tex]×[tex]\frac{2}{1}[/tex]  (Then the the fraction should reciprocal so the values should shift to          the opposite side were 2 goes up and 1 goes down and the sign turns to the multiplication sign)

then u should multiply the two fractions which gives 8/9

next you should divide 8 by 9 which gives 0.88(the number eight is recurring which means that the number 8 keeps repeating no matter how many times you try to divide)

Sue's estimate is best because she throws it more times than Eric. Regarding the probability of Aadi obtaining tails, Statement C is accurate.

The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.

Ten biased coin throws are made by Eric. He is dealt 3 tails. Sue tosses a coin 50 times. I give her 20 tails.

Aadi will only toss the coin once. Regarding the probability of Aadi obtaining tails.

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

Hence option C is correct.

2)

An estimate for the likelihood that Aadi will receive tails using the findings of Eric and Sue. 3/20 will be the fraction of the form a/b.

The probability of the Aadi getting tails;

P(Aadi) = 3 / 360 = 1/120

P(Sue) = 20/50×36 = 1/90

Hence the fraction in the form of a/b willl be 4/3.

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