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Given the diagram below, which statement is true?
A. /1 and /2 are vertical angles and supplementary.
B. /2 and /3 are complementary angles and congruent.
C. /1 and /3 are vertical angles and congruent.
D. /2 and /4 are supplementary angles and congruent.

Exact length of border required by Kristin is calculated to be 9.42 ft.

This question can be solved using the concept of circumference of a circle.

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve/arc length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles.

Circumference of a circle is given by 2πr.(r is the radius of the circle)

In the given question,

diameter= 3ft

radius= half times of diameter

radius= 1.5 ft.

Circumference= 2πr

= 2×3.14×1.5

=9.42 ft

Kristin will require 9.42 ft of border around the edge of the table.

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Answer:

Step-by-step explanation:

the answer is 152

In geometry, a line segment is bordered by two distinct points on a line. Or we can say a line segment is a portion of the line that connects two points.

The length of the line segment does not differ and the distance between them does not change. The units in which a line can be estimated are centimetres, millimetres, meters, inches, or feet.

A closed-line segment has both endpoints, whereas an open-line segment has two endpoints. A line segment that has only one endpoint is known as a half-open line segment.

A line segment with two endpoints P and Q and is denoted by the bar symbol (—).

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Answer:

it is actually -5 because -1.5/0.3=-5

Step-by-step explanation:

a=2 b=15 c=-9

[tex]( - b + - \sqrt{b ^{2} - 4ac } ) \div 2a[/tex]

+ =0.5584

- =-8.0584

Correct options are: A. Zeros: -2 and 1

E. x-Intercepts: (-2, 0) and (1, 0)

What are zeros & x-intercepts of quadratic function?

The zero of the function is where the y-value is zero.

The x-intercept is where the graph crosses the x-axis.

The zeros of a quadratic function are the values of x for which the function equals zero. In other words, they are the solutions to the equation f(x) = 0. For the given quadratic function, the zeros

are -2 and 1.

The x-intercepts of a function are the points at which the function crosses the x-axis. In other words, they are the solutions to the equation f(x) = 0 when y = 0. For the given function, the x-intercepts are (-2, 0) and (1, 0) which are the points on the x-axis where the function crosses it.

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Answer:

Equation 1: 6 + (-10) = -4

Step-by-step explanation:

1st segment starts at 0 and goes 6 units right so: +6

Second segment starts at 6 and goes 10 units left, so: -10

Finally the second segment lands on -4, so all together:

+6 + (-10) = -4 or 6 + (-10) = -4

Hope this helps!

Answer:

El vendedor ambulante debe vender 80 camisetas para obtener una ganancia de 400 €.

Step-by-step explanation:

La ganancia que obtiene el vendedor es el resultado de restar el costo total menos las ventas totales. El costo total es igual al costo por camiseta por el número de camisetas y las ventas totales son iguales al precio de venta por el número de camisetas vendidas, lo que se puede expresar de la siguiente forma:

x=11y-6y

x=5y, donde:

x es la ganancia

y es el número de camisetas

Dado que se quiere obtener una ganancia de 400, este valor sería x, y debes despejar y:

400=5y

y=400/5

y=80

De acuerdo a esto, la respuesta es que el vendedor ambulante debe vender 80 camisetas para obtener una ganancia de 400 €.

Answer: 42 yd

Step-by-step explanation: For the perimeter you add up all sides of the figure.

9+9+12+12=42 yd

Answer: Any of the following angles are not congruent to angle 5.

The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).

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

Explanation:

Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.

Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).

Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.

Similar logic can also show that angle 6 is not congruent to angle 5.

---------------------------

An alternative path is to find all the angles that are always congruent to angle 5 and they are...

And everything else is not congruent to angle 5.

Answer:

The slope is 7!

Step-by-step explanation:

Answer:

The slope is 7

Step-by-step explanation:

Use the distributive property to distribute 7 to x and -7. 7(x-7) is the same as 7(x)+7(-7) which is 7x-49. Therefore, the equation will be y+4=7x-49. We want to isolate y so we have to subtract 4 from both sides. y=7x-53. The number with the x is the slope. Therefore, the slope is 7.

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The discriminant of the quadratic equation 2x + 5x² = 1 is 24.

The discriminant of a quadratic equation is the value calculated from the coefficients of the quadratic equation and it gives information about the nature of the roots of the equation. The discriminant can be used to determine the number and type of solutions/roots of the equation.

-If the discriminant is greater than zero, the equation has two distinct, real solutions (or roots).

-If the discriminant is equal to zero, the equation has one real solution (or root).

-If the discriminant is less than zero, the equation has no real solutions (or roots), only complex solutions.

The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.

Plug in the values and solve for the discriminant of the quadratic equation 2x + 5x² = 1.

b² - 4ac = (2)² - 4(5)(-1) = 24

Hence, the discriminant is 24.

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Answer:

T=(I/p)/r

Step-by-step explanation:

I = Prt is the same thing as: I = P*r*t

We want the answer to be as:

T = ???

The only thing you need to do is the get T to one side.

1. [tex]I = P*r*t[/tex]

2. [tex]I/p=r*t[/tex]

3. [tex](I/p)/r=t[/tex]

4. [tex]t=(I/p)/r[/tex]

Answer:

Below

Step-by-step explanation:

Error :    (8.25 - 7.5)

% error :    ( 8.25-7.5) / 8.25    * 100%  = 9.1 %

Jim's percent error is 9.09%.

What is the percentage error?

The percentage error is given as the difference between the actual value and the estimated value divided by the actual value, multiplied by 100%.

The percentage error is a relative value that compares the actual value and the estimated value to explain any deviations.

Estimated width of wall = 7.5 feet

The actual width of the wall = 8.25 feet

The difference in estimate = (8.25 - 7.5) = 0.75 feet

Percentage Error = (0.75/8.25 x 100) = 9.09%

Thus, we can conclude that Jim made a percentage error of 9.09%  in his estimate of the width of the wall.

Using the concept of fraction, the percentage edited on the video is 62.5 percent.

What is Percentage

Percentage is a standard mathematical concept used to express a portion of a whole number in terms of a hundred. It is denoted by the symbol “%” and is often expressed as a fraction or a decimal. For example, 25% can be expressed as 0.25 or 1/4.

In this problem, Thorton has done a 2.5 hours work. The percentage he has edited can be calculated using fraction or ratio as;

percentage edited = (2.5 / 4) × 100

Percentage = 0.625 × 100

Percentage = 62.5 %

From the above, Thorton has edited 62,5 percent of the video for his school project.

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Answer:

the answer is. The answer is

57

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer: (x−7)2+y2=100. Explanation: the standard form of the equation of a circle is.

Step-by-step explanation:

Answer:

Equation of a circle:

Substitute the given values to get the equation of this circle:

Answer:

Solution given:

Centre(h,k)=(-5,-9)

radius (r)=7

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

Substituting value;

(x+5)²+(y+9)²=7²

(x+5)²+(y-9)²=49 is a required equation of a circle.

The value of q in the given equation x²- 5x + q = 0 will be 4.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.

given an equation x²- 5x + q = 0 and the question states that it has a root that is equal to 2

Since 2 is the root of this quadratic equation it will satisfy the equation

Substituting the values in the equation

4 - 5*2 + q = 0

q = 6

Equation will be

x²- 5x + 6 = 0

The root of the given equation using the fraction method

x²- 3x - 2x + 6= 0

(x -2)(x - 3) = 0

The root of the given equation are 2 and 3

Therefore, In the given equation x²- 5x + q = 0 the value of q will be 4.

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Answer:

5 hours

Step-by-step explanation:

Olivia needs to make 700 - 15 = <<700-15=685>>685 cupcakes.

So she needs to work for 685 / 137 = <<685/137=5>>5 hours

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

In mathematics, time is described as a continuously and continuous series of events that take place in chronologically from the past through to the present and into the future. The duration of events, the gaps between them, or even the sequence of occurrences can all be quantified, measured, or compared using time.

Here,

If it is 10 a.m. on Friday in Miami, Florida's Eastern time zone, it is 7 a.m. on Friday in Los Angeles,

California's (120 o W) pacific time region

since Miami, Florida's Eastern time zone is three hours early of Los Angeles.

Thus,

the correct response is 7 am on Friday.

Therefore, the answer to the time dilemma is 7 am on Friday, which is the right choice.

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Answer:

a)=57

b)=26

C)= 35

Step-by-step explanation:

there is 100 people recorded when they only wanted 65 so the 35 extra answers are not recorded.

1.14 is the answer just do 19%=1.14

Answer: standard form of (6.31×10⁵ ) + (2.6×10⁴) is 65.7 × 10⁴.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

As given,

(6.31×10⁵ ) + (2.6×10⁴) = ( 6.31× 10⁴ ×10 ) + (2.6 × 10⁴ )

                                   =  ( 6.31 × 10 + 2.6 )

                                   =  ( 63.1 + 2.6 )

                                   =  ( 65.7 )

                                   = 65.7 × 10⁴

Hence, the standard form of ( 6.31× 10⁵) + (2.6 × 10⁴) = 65.7 × 10⁴.

[tex](6.31\times 10^{5})+(2.6\times 10^{4})\implies 6\underline{31000}+2\underline{6000} \implies \text{\LARGE 657000}[/tex]

if the y-intercept is (0,5), you have:

y = (3/4)x + 5

To graph a line with a slope of 3/4, you can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Since the slope is 3/4, the equation of the line is y = (3/4)x + b.

To find the y-intercept, you can plug in the coordinates (0,b) into the equation. So if the y-intercept is (0,5), you have:

y = (3/4)x + 5

You can then plot the point (0,5) on the graph, and use the slope of 3/4 to find the next point by going up 3 and right 4.

Another way is to pick two points on the line and plot them, you can use the slope formula (rise over run) to find the next point on the line.

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The remaining miles are 660 miles.

This month, Diaz drives 28 miles each day using the car allotted to him by his company.

But the company allows him to drive up to 1500 miles each month by his car.

To calculate the remaining miles that Diaz has not traveled this month, we have to use the formula m = 1500 - 28d, where d is the number of days in that particular month.

A month general consists of 30 days.

So, this month Diaz has traveled 28×30 miles = 840 miles ( using multiplication)

Therefore, the remaining miles(m) that Diaz has not traveled this month comes to 1500 - 840 = 660 miles.

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The complete question is:

Diaz has a company car that allows him to drive up to 1,500 miles each month. He averages 28 miles each day. The remaining miles for this month can be calculated using the formula m = 1500 - 28d where m is the remaining miles and d is the number of days driven this month. What are the remaining miles?

Approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.

Right triangle is a triangle in which one angle is of [tex]90^0[/tex] .

We have,

Hypotenuse [tex]=92[/tex] cm

Let,

Perpendicular [tex]= x[/tex] cm

Base [tex]=x[/tex] cm

So,

Using the Pythagoras theorem,

[tex]H^2=P^2+B^2[/tex]

So,

[tex]92^2=x^2+x^2[/tex]

[tex]92^2=2x^2[/tex]

⇒

[tex]2x^2 = 8464[/tex]

[tex]x^2 = 4232[/tex]

⇒[tex]x=65.05[/tex]

So,

Perpendicular [tex]= 65.05[/tex] cm

Base [tex]=65.05[/tex] cm

So,

The required wood to complete support [tex]=65.05+65.05=130.1[/tex] cm

Hence, we can say that approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.

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Answer:

(4,14) (8,28))

Step-by-step explanation:

3.5(4) = 14

3.5(8) = 28