"which answer is not a theorem or postulate used to prove triangles' similarity?"

C) Subtraction Property of Equality; Multiplication Property of Equality

- Prodixy ☕

Option: A is the correct answer.

The mathematical representation of the given statement is:

                       [tex]5(p+r)[/tex]

We are asked to represent the given expression in words to numerical expression.

The statement is:

5 times the sum of p and r

The sum of p and r is:  (p+r)

and now 5 times the sum of p and r i.e. 5 is multiplied to the sum of p and r.

i.e.

[tex]5(p+r)[/tex]

The Domain of the function {(−3, 6), (0, 2), (4, 7), (11, 15)} is  

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input.

Given:

Set :{(−3, 6), (0, 2), (4, 7), (11, 15)}

So, the Domain is the input value

Domain = { -3, 0, 4, 11}

and, the range is output value

Range= {6, 2, 7, 15}

Hence, the domain is { -3, 0, 4, 11}.

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To solve the equation 6s - 4 = 8 (2 + 1/4s), simplify and isolate the variable 's'. The solution is s = 5.

To solve the equation 6s - 4 = 8 (2 + 1/4s), we need to simplify and isolate the variable 's'. First, distribute the 8 to both terms inside the parentheses:

6s - 4 = 16 + 2s

Next, move the variable terms to one side of the equation and the constant terms to the other side by subtracting 2s from both sides and adding 4 to both sides:

6s - 2s = 16 + 4

Combine like terms to simplify:

4s = 20

Finally, divide both sides by 4 to solve for 's':

s = 5

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Answer:

The answer is (3, 8)

Step-by-step explanation:

so next time you try to make a exponent use ^ exsample 3^9  3 to the power of 9 anyways since the x axis or sum is 3 it is y = 2^3 multiply it so 2 x 2 x 2 = 8 so that answer is (3, 8)

if correct please crown

Answer:

The correct answer is A to the 6th power, A^6

Step-by-step explanation:

First, apply the exponent rule. (a^b)^c = a^bc

You would get a^2*3 (* means times) (^ means to the power)

Second refine.

You would get A^6.

The answer is A^6.

Answer:

Area of the circle = 1.3π m²

Step-by-step explanation:

Area of the circle is given by the formula A = πr²

It is given that area of the circle is 4.1 m² and we have to convert it in the terms of π.

Now to convert the area in terms of π we will multiply the area by π and divide the area by 3.14.

⇒ Area×π / 3.14 = 4.1 × π/3.14 = 1.30π

Therefore answer is area of the circle = 1.30π m²

Answer:

C) [tex]y = -4x - 2[/tex]

Step-by-step explanation:

The general equation of a line in the xy plane is as follows:

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope of the line, and [tex]b[/tex] is the intercept with the y axis.

In this case we want a line with a slope of -4, therefore:

[tex]m = -4[/tex]

and we also want a y-intercept of -2, so:

[tex]b = -2[/tex]

Substituting in the general equation of the straight line:

[tex]y = mx + b[/tex]

⇒[tex]y = -4x-2[/tex]

wich is option C

(4,3) is the required solution set for the given equation

Given equation is x+1=√9x-11

Thus solving above equation for x :

[tex]x+1=\sqrt{9x-11}\\[/tex]

Squaring throughout we get,

[tex](x+1)^{2} =9x-11\\x^{2} +2x+1=9x-11\\x^2+2x-9x+1+11=0\\x^2-7x+12=0\\x^2-3x-4x+12=0\\x(x-3)-4(x-3)=0\\(x-4)(x-3)=0\\[/tex]

Thus we get :

Either (x-4) = 0 or (x-3) = 0

Thus we have x = 4 or x = 3  

Hence x = 4 or x = 3 is the solution set

To solve this problem, set up equations based on the given information. M = C - 5 and M - 7 = (C - 7) / 2. Solve the system of equations to find Maura's age (19).

To solve this problem, we can set up equations based on the given information. Let's let M represent Maura's age and C represent Cara's age.

The first clue tells us that Maura is 5 years younger than Cara, so we can write the equation M = C - 5.

The second clue tells us that seven years ago, Maura was half as old as Cara. So seven years ago, Maura's age was M - 7 and Cara's age was C - 7. We can write the equation M - 7 = (C - 7) / 2.

Now we can solve this system of equations to find Maura's age. Substituting the value of M from the first equation into the second equation, we get (C - 5) - 7 = (C - 7) / 2. Simplifying and solving for C, we find that Cara's current age is 24. Substituting this value back into the first equation, we find that Maura's current age is 19.

Martha in:

1.5 hours will make: $4.88

2.5 hours will make: $8.13

3.5 hours will make: $11.38

Height of the kite is = 36 inches.

Width of the kite is = 30 inches

One of the ways to find the area is to draw a vertical line to break the kite into two equal triangles. Mark the base as 36 inches and height as 15 inches .

Now we will use the formula [tex]area=\frac{1}{2}*base*height[/tex] to find the area of each triangle. Then we will add both the areas to find the area of the kite.

Area of 1 triangle = [tex]\frac{1}{2}*36*15[/tex] = 270 square inches

Area of the 2nd triangle is also = 270 square inches

Hence, area of the kite = 270+270 = 540 square inches

The area of the kite is 540 square inches

The dimension of the rectangle is given as:

The area of the kite is then calculated using:

[tex]Area = \frac 12 \times (Height \times Width)[/tex]

Substitute values for Height and Width

[tex]Area = \frac 12 \times (36 \times 30)[/tex]

Evaluate the expression in bracket

[tex]Area = \frac 12 \times 1080[/tex]

Evaluate the product

[tex]Area = 540[/tex]

Hence, the area of the kite is 540 square inches

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Answer:  The correct option is

(C) [tex]T^{-1}(x,y)\rightarrow \left(\dfrac{1}{5}x,\dfrac{1}{5}y\right).[/tex]

Step-by-step explanation:  We are given a transformation T defined as :

[tex]T:(x,y)\rightarrow (5x,5y).[/tex]

We are to find the inverse transformation [tex]T^{-1}(x,y).[/tex]

From the given transformation, we have

[tex]T:(x,y)\rightarrow (5x,5y)\\\\\Rightarrow T^{-1}(5x,5y)=(x,y).[/tex]

Let us consider that

[tex]5x=z~~~~~~\Rightarrow x=\dfrac{z}{5},\\\\\\5y=t~~~~~~\Rightarrow y=\dfrac{t}{5}.[/tex]

Therefore, we get

[tex]T^{-1}(5x,5y)\rightarrow(x,y)\\\\\Rightarrow T^{-1}(z,t)\rightarrow \left(\dfrac{z}{5},\dfrac{t}{5}\right)\\\\\\\Rightarrow T^{-1}(x,y)\rightarrow \left(\dfrac{1}{5}x,\dfrac{1}{5}y\right).[/tex]

Thus, (C) is the correct option.

First, calculate the number of attendees from within the state by multiplying the total by 64% to get 1,600 people. Subtract this from the total to find the number of out-of-state attendees, 900 people.

This is a problem of percentage utilization and subtraction. First, we must determine the number of in-state attendees by multiplying the total number of attendees (2500 people) by the given percentage of in-state visitors (64%).

So, 2500 people x 0.64 = 1600 people.

These are the people who attended from within the state. To find out how many visitors came from out of state, we subtract this number from the total: 2500 people - 1600 people = 900 people. Therefore, 900 people attended the museum from out of state on Sunday.

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Answer:

[tex](a+5b)(a-5b)[/tex]

Step-by-step explanation:

[tex]a^2 - 25b ^2[/tex]

Factor completely

write 25 in square form , 25= 5^2

[tex]a^2 -5^2b ^2[/tex]

[tex]a^2 -(5b)^2[/tex]

Apply difference of squares formula to factor it

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

[tex]a^2 -(5b)^2[/tex]

x= a  and y=5b

[tex](a+5b)(a-5b)[/tex]

what is the area of this triangle 13in 94 degrees 7.5 in