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The coordinate of the circumcenter of the triangle is A'(9,9) , B' ( 4,4) and C' ( -2,7)

Circumcenter of triangle is the point where three perpendicular bisectors from the sides of a triangle intersect or meet. The circumcenter of a triangle is also known as the point of concurrency of a triangle.

Also the circumcenter is the intersection point of the perpendicular bisectors of sides of a triangle. It is the centre of a triangle's circumcircle.

Since circumcenter Is the point of perpendicular bisector

the bisect of line AB (A') is (14+4)/2 , (12+6)/2 = (9,9)

the bisect of line BC (B') is (14-6)/2 , (6+2)/2 = (4,4)

The bisect of line AC (C') is( 4-6)/2 , (12+2)/2 = ( -2,7)

Therefore the the coordinates of the circumcenter of the A'(9,9) , B' ( 4,4) and C' ( -2,7)

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The unit for area of a triangle is square units.

The area of a triangle is the amount of two-dimensional space that it occupies.The law of cosines to calculate the length of the third side, and then use the formula to calculate the area.

The formula for calculating the area of a triangle is A = ½ × base × height. The unit for the area of a triangle is typically square units such as square meters (m2), square kilometers (km2), square feet (ft2), and square inches (in2).To calculate the area, you need to measure the base and height of the triangle and multiply them together. Then, you need to divide the product by two. For example, if the base of the triangle is 4 cm and the height is 6 cm, then the area A = ½ × 4 cm × 6 cm = 12 cm². Therefore, the area of the triangle is 12 cm².

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The number of apples left with jimmy is none(zero).

Jimmy bought 50 apples and each bag had 10 apples and he gave 2 bags of apples to one of his friends and another 2 bags of apples to another friend and he ate 1 bag.

The number of apples Jimmy have left can be calculated as follows;

He has 5 bags of apples containing 10 apples each. Jimmy gave 2 bags of apples(20 apples) to his friend and gave another 2 bags of apples(20 apples) to his friend.

Finally, he ate 1 bag of apple(10 apples).

Therefore, the number of apples left is none.

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Therefore the solution to the given question equation will shift the graph of the original equation up 2 units in  y=2x + 9

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics. Equations range in complexity from straightforward addition-and-multiplication equations in mathematics through differential equations, exponential equations that use exponential expressions, and integral equations.

Here,

It follows a linear function. y=mx + b

If A is the location where the y-axis intersects, then x = 0 and y = b are the coordinates of A.

In order to move the graph up by 2 units, you must add 2 units to b.

In our case, b was originally equal to 7, so shifting it up makes b become 7+2=9, and the new function is y=2x + 9.

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Answer:

March, June, and November

Step-by-step explanation:

See attached image for the utility bills by month.  Draw a line along the $40 and $50 lines on the y axis and select the months that fall within these two lines.

Answer:Greatest to Smallest > 7.44, 7.404, 7.2041, 7.2   and Smallest To Largest > 7.2, 7.2041, 7.404, 7.44

Step-by-step explanation:

Answer:

65°+106°+78°+*°=360°

249°+ *°=360°

*°=360°-249°

*°=111°

Answer: 7:5

Step-by-step explanation: 14/2 = 7 and 10/2 = 5

I am truly sorry if it was wrong or i did not understand ty.

- ♥ Roxy ♥

Using simple mathematical operations, we know that we will get a change of $0.5.

An operation is a function in math that transforms zero or more input values into a strictly delineated output value.

The operation's arity is influenced by the number of operands.

For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "×" Finding the quotient in division ("÷)

So, we know that:

Grapes cost $1.99.

We purchased 2.25 pounds of grapes.

The change we will receive if we gave a $5 bill will be:

5 - (1.99*2.25)

5 - 4.4775

0.5225

Rounding off: $0.5

Therefore, using simple mathematical operations, we know that we will get a change of $0.5.

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Answer:

1/3

Step-by-step explanation:

one third= 1/3

The 3 main exponent properties are:

The product of powers property states that when you multiply two numbers with the same base, you can add the exponents to find the result. For example, (2^3) * (2^4) = 2^(3+4) = 2^7

The quotient of powers property states that when you divide two numbers with the same base, you can subtract the exponents to find the result. For example, (2^5) / (2^3) = 2^(5-3) = 2^2

The power of a power property states that when you raise a power to another power, you can multiply the exponents to find the result. For example, (2^3)^2 = 2^(3*2) = 2^6

These three properties help simplify algebraic expressions that include exponents and make it easier to solve equations and perform other mathematical operations.

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Answer:

[tex] y = -\dfrac{7}{36} [/tex]

Step-by-step explanation:

[tex] 2 \dfrac{1}{4} - 6y = 3 \dfrac{5}{12} [/tex]

[tex] \dfrac{9}{4} - 6y = \dfrac{41}{12} [/tex]

[tex] -6y = \dfrac{41}{12} - \dfrac{27}{12} [/tex]

[tex] -6y = \dfrac{14}{12} [/tex]

[tex] -6y = \dfrac{7}{6} [/tex]

[tex] y = -\dfrac{7}{36} [/tex]

Exponents are a way to represent the repeated multiplication of a number by itself. The exponent is written as a small number raised to the right of the base number.

For example, in the expression 2^3, 2 is the base and 3 is the exponent. This means 2 multiplied by itself 3 times, equal to 2 x 2 x 2 = 8. The exponent tells how many times the base is multiplied by itself.

In grade 7, students typically learn the basic rules of exponents such as how to multiply and divide numbers with the same base, and how to raise a power to a power. They also learn about scientific notation, which is a way of writing very large or tiny numbers using exponents.

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The solution to the system of equations y = -3x - 2 and 5x + 2y = 15 is (-19, 55).

A system of linear equations is a set of two or more equations which includes common variables. The solution to a system of equations, is the value of the unknown variables used in the equations that satisfies both equations.

Given two linear equations in x and y,

y = -3x - 2     (equation 1)

5x + 2y = 15     (equation 2)

Use substitution method to find its solution. Since the first equation is already expressed as y in terms of x, substitute the first equation to the second equation.

5x + 2y = 15     (equation 2)

5x + 2(-3x - 2) = 15

5x - 6x - 4 = 15

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.

5x - 6x - 4 = 15

-x = 15 + 4

x = -19

Substitute the value of x in the first equation and solve for y.

y = -3x - 2     (equation 1)

y = -3(-19) - 2

y = 55

Hence, the solution of the given system of equations is (-19, 55).

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The reflection rule is ​(x, y) ​= (y, x)) where the equation of line t is y = x

The slope, m of the linear function is calculated using the points on the graph (4, 4) and  (2, 2)

m = (y₀ - y₁) / (x₀ - x₁)

m = (4 - 2) / (4 - 2)

m = (2) / (2)

m = 1

Equation of the line t passing through point (0, 0) applying the point slope formula

(y - y₁) = m'  (x - x₁)

y - 0 = 1(x - 0)

y = 1(x)

y = x

The equation of the line is y == x

Refection rule for line y = x, on the positive sides is to interchange the positions of the x and y values

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The value of all the missing angles of the triangle are;

m∠PRQ = 78°

m∠RPQ = 30°

m∠PQR = 72°

m∠PRS = 39°

m∠RPS = 15°

m∠PQS = 36°

m∠PSR = 126°

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

Now, the sum of angles in a triangle is equal to 180 degrees. We are given;

m∠PRQ = (8x - 10)°

m∠RPQ = (4x - 14)°

m∠PQR = (7x - 5)°

Thus;

(8x - 10) + (4x - 14) + (7x - 5) = 180

19x - 29 = 180

19x = 209

x = 209/19

x = 11

Thus;

m∠PRQ = (8(11) - 10)° = 78°

m∠RPQ = (4(11) - 14)° = 30°

m∠PQR = (7(11) - 5)° = 72°

By the definition of incenter of a triangle, we can say that;

m∠PRS = 78°/2 = 39°

m∠RPS =  30°/2 = 15°

m∠PQS = 72°/2 = 36°

Similarly;

m∠PSR = 180 - (m∠RPS + m∠PRS)

m∠PSR = 180 - 54

m∠PSR = 126°

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Transform the equation using standard form in which one side is zero is the first step to solving quadratic equations in factored form.

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The number of tacos that the taco truck made in all for the year were 22, 280 tacos

First, we know that the taco truck made 11, 380 chicken tacos. We also know that the beef tacos were 3, 780 less than chicken which means they were :

= 11, 380 - 3, 780

= 7, 600 beef tacos

The number of fish tacos made were 4, 300 fewer than beef tacos which means it was :

= 7, 600 - 4, 300

= 3, 300 tacos

The total tacos made is:

= 11, 380 + 7, 600 + 3, 300

= 22, 280 tacos

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Answer:

its 53 they equal the same length if you looking of the answer with a x then maybe its 0x=53

hope this works

The combined cost of one loaf of bread and one package of cheese will be $6.5 for the equation

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Mason bought 6 loaves of bread and 3 packages of cheese for a total of $27. The cost of a package of cheese is $1.50 more than the cost of a loaf of bread.

Let 'x' be the cost of the loaf and 'y' be the cost of cheese. Then the equations are given as,

6x + 3y = 27

2x + y = 9             ...1

y = x + 1.5            ...2

From equations 1 and 2, then we have

2x + x + 1.5 = 9

3x = 7.5

x = $2.5

Then the value of the variable 'y' is calculated as,

y = 2.5 + 1.5

y = $4

The combined cost of one loaf of bread and one package of cheese will be given as,

⇒ $4 + $2.5

⇒ $6.5

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The 5 is the numerical coefficient in the expression 5x. 5x denotes a 5x multiplication of the variable x.

x ax2+bx+c=0, a quadratic polynomial in a single variable, is a quadratic equation. a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that there is at least one solution. There are both straightforward and complex solutions. A quadratic equation is a quadratic equation. This suggests that it contains at least one word that has to be squared. One of the commonly used answers to quadratic equations is "ax2 + bx + c = 0." where the unknown variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

X is the coefficient term, while an is the variable.

Together, x and a2 are multiplied.

A mathematical problem is solved using an algebraic expression, which combines words and numbers.

For illustration

The 5 is the numerical coefficient in the expression 5x. 5x denotes a 5x multiplication of the variable x.

The variable is therefore a, and the coefficient term is x.

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Abby can make 26 tie-dyed T-shirts.

We can start by setting up a linear equation to represent the total cost of making the tie-dyed T-shirts.

What is a linear equation?

First-order equations include linear equations. In the coordinate system, linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., just one variable).

Multiple variables may be present in a linear equation. Linear equations with two variables, for example, are used when a linear equation contains two variables.

Let x be the number of T-shirts Abby makes

The cost for each T-shirt is $3.95 + $0.50 = $4.45

The cost of the two boxes of salt is $4.50 * 2 = $9

So the total cost for x T-shirts is $4.45x + $9

We know that the total cost is 124.70 and we want to find the value of x, so we can set up the equation as:

$4.45x + $9 = 124.70

Solving for x:

$4.45x = 115.70

x = 115.70 / 4.45

x = 26

Therefore, Abby can make 26 tie-dyed T-shirts.

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The area of a triangle with the base of 10 cm and the height of 5 cm is 25 square cm.

In the given question we have to find the area of a triangle with the base of 10 cm and the height of 5 cm.

The entire area bounded by a triangle's three sides is referred to as the triangle's area. In essence, it equals half of the base times height, or A = 1/2bh. So, in order to calculate the area of a triangular polygon, we need to know its base (b) and height (h).

Area of Triangle = 1/2 ×b×h

Area of Triangle = 1/2 ×10×5

Area of Triangle = 5×5

Area of Triangle = 25 square cm

Hence, the area of a triangle with the base of 10 cm and the height of 5 cm is 25 square cm.

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Consequently, the exponential function y=e-1.5t can be changed to y=abx. The transcendental number is the most popular exponential-function base.

The formula for a mathematical function called an exponential function is f (x) = an x, where x is a variable and an is a fixed quantity known as the function's base. The exponential-function base that is most frequently used is the transcendental number e, or approximately 2.71828. An example of an exponential function is the growth of bacteria. Some bacteria can multiply by two in one hour. There will be twice as many germs around after x hours as there were at the beginning. F(x) = 2x is the formula for this.

given

y=e^-1.5t

f(x) = 2. x

f(x) = 1/ 2x = 2. -x

f(x) = 2. x+3

f(x) = 0.5. x

y=ab^x​

Consequently, the exponential function y=e-1.5t can be changed to y=abx. The transcendental number is the most popular exponential-function base.

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The Zero pairs is defined as the pair where the sum of all the elements is zero and one such example of zero pair is (-5,5) .

What is Zero Pair ?

The Zero Pair is defined as the pair of element (a,b) , where the sum of elements "a and b" are zero , that means ⇒ [tex]a+b=0[/tex] .

Few Examples of Zero Pairs are :

(i) the ordered pair (2,-2) is a Zero Pair because ,

⇒ [tex]2+(-2)[/tex]

⇒ [tex]2-2[/tex]

⇒ 0 .

(ii) the ordered pair (8,-8) is a Zero Pair because ,

⇒ [tex]8+(-8)[/tex]

⇒ [tex]8-8[/tex]

⇒ 0 .

(iii)  the ordered pair (5,-5) is a Zero Pair because ,

⇒ [tex]5+(-5)[/tex]

⇒ [tex]5-5[/tex]

⇒ 0 .

Therefore , the examples of zero Pair are (2,-2) , (5,-5) and (8,-8) .

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In order to have the correct expression of -24x + 12/12, the student erred by expressing the product of two negative signs as a negative sign rather than a positive sign.

A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x.

given

Given that a pupil stretched the statement to become 6 (4x 2/ 13),

Using the distributive theorem to expand;

= −6 ( 4x − 2/ 13 )

= -6(4x) -6(-2/13)

= -24x + 6(2/13)

= -24x + 12/12

In order to have the correct expression of -24x + 12/12, the student erred by expressing the product of two negative signs as a negative sign rather than a positive sign.

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Answer:

I can only give you the answer to the equation which is 100 but I can't help you with finding the phrase because you did not include the answer choices.

Step-by-step explanation:

The value of x is 1/2, and JT = 1/2(TK), TK = 2JT.

What is the centroid of a triangle?

A centroid of a triangle is a point that is the arithmetic mean position of all the points of a triangle, which is the point where the three medians of the triangle intersect. The medians of a triangle divide the triangle into 6 equal areas.

We know that:

JT = x(TK),

\where J is the centroid and x is a constant.

Since J is the centroid, it divides the median TK into a ratio of 2:1, which means that TK = 2*JT.

Substituting this into the original equation gives:

JT = x(2*JT)

Solving for JT gives:

JT/JT = 2x

x = 1/2

JT = 1/2(TK),

TK = 2JT

Hence, the value of x is 1/2, and JT = 1/2(TK), TK = 2JT.

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