give the coordinates of one point in the solution set.

Answer:

Step-by-step explanation:

-9

A triangle with vertices located at A(1 , 1), B(2 , 5), and C(5 , 1) has a perimeter of 13.1 units.

A triangle is a two-dimensional shape that has three sides or edges and three vertices.

Perimeter refers to the distance around any two-dimensional shape. The perimeter of a triangle is the sum of the length of its sides.

To solve for the perimeter of triangle ABC with vertices located at A(1 , 1), B(2 , 5), and C(5 , 1), solve first for the length of each side, namely side AB, side BC, and side AC.

And to solve for the length of each side, use the distance formula given by:

d = √(x2 - x1)^2 + (y2-y1)^2

side AB : d = √(2 - 1)^2 + (5 - 1)^2 = √1 + 16 = √17 units

side BC : d = √(5 - 2)^2 + (1 - 5)^2 = √9 + 16 = √25 = 5 units

side AC : d = √(5 - 1)^2 + (1 - 1)^2 =√16 + 0 = √16 = 4 units

Solving for the perimeter of triangle ABC,

P = AB + BC + AC

P = √17 + 5 + 4

P = 4.123 + 9

P = 13.123 units

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The component form of →s + →t is <-8, 1>

We know that the component form of a vector is the ordered pair that describes the changes in the x- and y-values.

In this question, we have been given two vectors

vector s = < 2, -6>

and vector t = <-10, 7>

We need to find the component form of →s + →t

→s + →t

= < 2, -6> + <-10, 7>

= <2 + (-10), -6 + 7>

= <2 - 10, 1>

= <-8, 1>

Therefore, the component form of →s + →t is <-8, 1>

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The measure of each angles are 21 and 83degrees

A line is defined as the distance between two points while an angle is the point where two lines intersect.

From the diagram shown, the expression below is true;

<EFH + <HFG = <EFG

Substitute the given parameters to have:

5x+1 + 62 = 18x + 11

Collect the like terms

5x - 18x = 11 - 63

-13x = -52

x = 52/13

x = 4

Find each measure

<EFH = 5(4) + 1

<EFH = 21

degrees

<EFG = 18(4) +11

<EFG = 72 + 11

<EFG  = 83 degrees

Hence the measure of each angles are 21 and 83degrees

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The Simplified value of the complex fraction 1 + 2/x / 2 + 3 / 2x is (4x+7)/(4x+3) .

A complex fraction is defined as an expression that has fraction in it's numerator and a fraction in its denominator.

For Example : [tex]\frac{\frac{2}{3} }{\frac{5}{7} }[/tex] is an example of complex fraction.

The given question is

=1 + 2/x / 2 + 3 / 2x

[tex]=1+\frac{\frac{2}{x} }{2+\frac{3}{2x} }[/tex]

Taking LCM in the denominator and solving further,

[tex]=1+\frac{\frac{2}{x} }{\frac{4x+3}{2x} }[/tex]

[tex]=1+\frac{2}{x} *\frac{2x}{4x+3}[/tex]

Cancelling out "x" from both numerator and denominator

we get,

=1+(2*2)/(4x+3)

=1+(4)/(4x+3)

Taking LCM as 4x+3 and solving further we get,

=(4x+3+4)/(4x+3)

=(4x+7)/(4x+3)

Therefore , the simplified value of the expression 1 + 2/x / 2 + 3 / 2x is (4x+7)/(4x+3).

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The measure of angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 will be 40°, 140°, 40°, 140°, 40°, 140°, 40°, and 140°, respectively.

The angle is the separation of the crossing surfaces or lines. Additionally, the angle is specified in degrees. One whole spin has an arc of 360 degrees.

If the total of two angles is 180 degrees, they are said to be supplementary angles.

In the third line, if two lines are parallel. Equal angles are formed by matching angles.

When two lines intersect, then their opposite angles are equal.

The measure of angle ∠1 is 40°.

Angle ∠1 and angle ∠2 are supplementary angles. Then the measure of angle ∠2 will be

∠1 + ∠2 = 180°

40° + ∠2 = 180°

∠2 = 140°

The vertical angles are given below.

∠1 = ∠3 = 40°

∠2 = ∠4 = 140°

The corresponding angles are given below.

∠1 = ∠5 = 40°

∠2 = ∠6 = 140°

∠3 = ∠7 = 40°

∠4 = ∠8 = 140°

Then the measure of angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 will be 40°, 140°, 40°, 140°, 40°, 140°, 40°, and 140°, respectively.

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The expression that represents the amount spent is  0.8x + 7.50

The given parameters are

Discount = 20%

Necklace = 7.50

Let the cost of the dress be x

So, the expression that represents the amount Sammie spent is

Expression = (1 - Discount) * x + Necklace

This gives

(1 - 20%) * x + 7.50

Evaluate

0.8x + 7.50

Hence, the expression that represents the amount spent is  0.8x + 7.50

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When the supermarket wants to find the percent of shoppers who use coupons. A manager interviews every shopper entering the greeting card aisle. This is a convenience sampling.

A non-probability sampling technique called convenience sampling includes taking a sample from the nearest area of the population. Pilot testing benefits the most from this kind of sample. The most popular kind of convenience sampling concentrates on gathering data from individuals (the sample) who are 'convenient' for the researcher to reach.

Convenience sampling techniques include inviting friends to take part in your study, gathering information from local sites, mailing surveys, and posting links on social media.

In conclusion, the correct option is A.

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A supermarket wants to find the percent of shoppers who use coupons.  A manager interviews every shopper entering the greeting card aisle.

convenience sample

Self-selected sample

systematic sample

random sample

The dividend is 50 , the quotient is 25 .

Let the no . ( the divisor ) be x .

Forming linear equation in one variable using given info .

Given : divisor = 2 , result = 33 , quotient increased by 8 .

Division Formula : Dividend = Divisor * Quotient .

Hence , the equation is ,

( x / 2 ) + 8 = 33

( x / 2 )  =  25

x = 50

Hence the dividend is 50 .

The quotient is 25 .

Therefore , option B ) is correct + 8 = 33 ; 82 .

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The average sale rate is 3 cupcakes per customer.

So, in 1 dozen there are 12 pieces.

Then,

Therefore, the average sale rate is 3 cupcakes per customer.

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The equation of the parabola that has vertex at the center and focus at the point (6,0) is x = y²/24

We define what a parabola is

 The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

The canonical equation of a parabola is given by

(y - k)² = 4p(x - h)

The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

Since the vertex and the focal axis are on the same axis, we analyze that:

v (0, 0)

f (6, 0) the focus is on the right so the parabola is of the form X = Y².

(y - 0)² = 4p(x - 0)

f = (0 + p, 0)

0 + p = 6

p = 0 + 6

p= 6

(y - 0)² = 4*6(x - 0)

(Y)² = 24(X)

x = y²/24

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The given sequence is not arithmetic as the difference of each consequent term with the previous term is not the same.

Given: 1, 3, 9, 27, ...

Here, 3 - 1 ≠ 9 - 3 ≠ 27 - 9

Since the sequence does not follow the definition of an arithmetic progression, it is not one.

Hence, The given sequence is not arithmetic as the difference of each consequent term with the previous term is not the same.

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Answer:

the answer is

[tex] \frac{27}{4} [/tex]

The probability of getting a number that is greater than four is G. 0.33

Probability:

Probability defines the possible occurrence of the selected event across the total number of events.

Given,

A die is rolled.

And we need to find the probability of rolling a number greater than 4.

If you roll a single die there are 6 possible outcomes  are

=> {1,2,3,4,5,6}

So, the numbers that are greater than 4 are,

=> 5 and 6.

So, there are 2 of which are greater than 4.  

So in a single roll the probability of getting a number greater than 4 is

=> 2/6

=> 1/3.  

For the decimal form it can be written as,

=> 0.33.

So, the correct option is G. 0.33.

Therefore, the probability of getting the number greater than 4 is 0.33.

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Answer:

10 *6= 60

60÷2=30

1÷2×b×h formula

answer- 30

Answer:26

Step-by-step explanation:

-3(2-4)2+14= -3*-2*2+14=12+14=26

The proof of Theorem 4.3 with an example is shown.

To prove Theorem 4.3:

Let,s take two triangles, that is △ABC and △ADC.

Since two pairs of angles are congruent, then the △ABC≅△ADC is under AA condition.

Therefore, the proof of Theorem 4.3 with an example is shown.

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Answer:

 $3500

Step-by-step explanation:

x = value of diamond with an increase of 5% every year for 8 years

x= 2500(0.05)

x= 125(8)

x = 1000

2500 + 1000 = $3500

The value of the diamond after 8 years is the amount of $3693.63.

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To find the value of the diamond after 8 years, we need to calculate the compound interest.

The formula for compound interest is:

A = P(1+r/100)ⁿ

here:

A = final amount

P = principal amount

r = annual interest rate (as a decimal)

t = time in years

Using this formula, we can calculate the value of the diamond after 8 years:

P = 2500

r = 5% = 0.05

t = 8

A = 2500 (1 + 0.05/1)¹ˣ⁸

A = 2500 (1.05)⁸

A = 2500 (1.4775)

A = $3693.63

Therefore, the value of the diamond after 8 years is $3693.63.

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Answer:

66

Step-by-step explanation:

A conditional statement has the same truth value as Contrapositive

From the question, we are to determine which type of conditional statement has the same truth value as the original statement

As a general rule, if the truth value of an original statement is True, the truth value of the contrapositive would also be true

Similarly;

If the truth value of an original statement is false, the truth value of the contrapositive would also be false

Hence, a conditional statement has the same truth value as contrapositive

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The value of angle 4 is 57°

From the image shown, we can see  that angle 3 and angle 4 are on a straight line.

It is important to note that angles on a straight line sum up to 180 degrees.

We have angles 1 and 2 are supplementary, that is, they sum up to 180 degrees

Angles 3 and 4 are also supplementary and sum up to 180 degrees

Angles 5 and 6 are also supplementary.

Then, if angle 3 = 123 , we have;

angle 3 + angles 4 = 180

123 + angle 4 = 180

Angle 4 = 180 - 123

Angle 4 = 57°

Thus, the value of angle 4 is 57°

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Lets consider an example to to show that it does not matter which point you choose for (x₁, y₁) .

Let the points be -

(2,1) and (4,7)

where x1 and x2 are 2, 4

y1 and y2 are 1,7.

So the formula for slope will be -

m = y2 - y1 / x2 - x1

⇒ 7 - 1 / 4 - 2

⇒ 6 / 2

⇒ 3                                                         .......(1)

So, the slope of the equation is 3 for x1, x2 = 2, 4 and y1, y2 = 1,7

Now, let us consider,

x2 = 2 and x1 = 4 , y1 = 7 and y2 = 1

m = 1 - 7 / 2 - 4

m = -6 / -2

m = 3                                                    ...........(2)

From (1) and (2), we can infer that it does not matter which point you choose for (x₁, y₁).

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We can expect there to be 684 trout in the lake.

In the given statement is:

To determine the number of trout in a lake, a conservationist catches 171 trout, tags them and throws them back into the lake. Later 52 trout are caught; 13 of them are tagged.

Proportion:

A ratio gives us the measure of one quantity as compared to another quantity, and it is represented either as a fraction, decimal or a notation like a : b. When the same ratio is applicable to other quantities.

Now, According to the question:

Number of trout / number of trout = number of trout caught / caught that were tagged

Number of trout / 171 = 52/13

Number of trout = (171 x 52) / 13

Number of trout = 8,892 / 13 = 684

Hence, We can expect there to be 684 trout in the lake.

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Answer:

Center: (2,2)

Radius: 2

Answers:

Center = (2,2)

Radius = 2

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

Explanation:

Consider (A+B)^2 = A^2+2AB+B^2 after using the FOIL rule.

If A = x, then we have (x+B)^2 = x^2+2Bx+B^2

The coefficient of the x term is 2B. It divides in half to get B, and it squares to B^2 as the final term.

In short, if we want to complete the square on something like x^2-4x, then we do two things:

So we go from -4 to -2 after dividing in half, and then from -2 to 4 after squaring. We'll add 4 to both sides to complete the square for the x terms.

[tex]x^2+y^2-4x-4y+4 = 0\\\\(x^2-4x)+(y^2-4y)+4 = 0\\\\(x^2-4x+4)+(y^2-4y)+4 = 4\\\\(x-2)^2+(y^2-4y)+4 = 4\\\\[/tex]

We'll do the same thing for the y terms. Though notice we already have a +4 on the left side. So we can have it absorb into the y terms parenthesis grouping like so

[tex](x-2)^2+(y^2-4y)+4 = 4\\\\(x-2)^2+(y^2-4y+4) = 4\\\\(x-2)^2+(y-2)^2 = 4\\\\[/tex]

Now compare that to the circle template

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

We see that

This circle has its center at (h,k) = (2,2)

The radius is r = 2

The value of expression  [tex]4\frac{7}{12} +2 \frac{3}{4} + 7\frac{5}{12}[/tex]  is [tex]\frac{157}{12}[/tex].

We solve this type of fraction by firstly simplifying it into proper fraction. For simplifying it into proper fraction, we multiply denominator of the complex fraction with whole number given with fraction and then add the numerator of the complex fraction

e.g. [tex]4\frac{7}{12}[/tex] = [tex]\frac{12*4+7}{12}[/tex]

so, The given question can be written down as [tex]4\frac{7}{12} +2 \frac{3}{4} + 7\frac{5}{12}[/tex]

i.e. [tex]\frac{35}{12} +\frac{11}{4} + \frac{89}{12}[/tex]

Taking LCM and then writing the equation again

[tex]\frac{35+33+89}{12}[/tex]= [tex]\frac{157}{12}[/tex]

Final answer, the simplified value will be [tex]\frac{157}{12}[/tex]

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Converting Mexican pesos to US dollars,  Kyle will get 2224 Mexican pesos for 200 US dollars.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

If 278 Mexican pesos is equivalent to 25 US dollars,

278 Mexican pesos = 25 US dollars

Dividing both sides by 25,

278/25 Mexican pesos = 25/25 US dollars

11.12 Mexican pesos = 1 US dollar

Therefore, 1 US dollar is equivalent to 11.12 Mexican pesos.

The conversion factor is 11.12 Mexican pesos/1 US dollar.

If Kyle wants to convert 200 US dollars to Mexican pesos for spending money, and 1 US dollar is equivalent to 11.12 Mexican pesos, multiply the amount by the conversion factor.

200 US dollars (11.12 Mexican pesos/1 US dollar)

= 2224 Mexican pesos

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In the given question the value of w is 0.128.

So, w when c = 4:

Now,

Then,

Therefore, in the given question the value of w is 0.128.

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Answer:

76

Step-by-step explanation:

Well just substitute 22 in for w. Multiply 4 time 22 that equals 88. Then just subtract 12 from 88, and you end up with your final answer of 76

Answer: 1,585.12 is your interest. full is 4349.12

Step-by-step explanation: brainlist pls

Based on the given parameters, the value of r is 46/3

The given parameters are

DG = r + 2

GM = 2r - 13

DM = 35

This means that

DM = DG + GM

So, we have

r + 2 + 2r - 13 = 35

Evaluate the like terms

3r = 46

Divide both sides by 3

r = 46/3

Hence, the value of r is 46/3

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