I would I simplify this ?

Options options A, B, D and F prove the triangle ABC is similar to triangle QRS by the side-angle-side similarity theorem.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle ABC is similar to triangle QRS by the side-angle-side similarity theorem.

A) AB/QR=BC/RS (Corresponding sides are in ratio)

B) ∠C≅∠S (Corresponding angles are equal)

D) AB/QR =AC/QS (Corresponding sides are in ratio)

F) ∠A≅∠Q (Corresponding angles are equal)

Therefore, options A, B, D and F are correct answers.

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KITE is a kite because each two opposite sides of kite are of equal length and satisfy the property of quadrilateral.

What is quadrilateral?

With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. Four non-collinear points are connected to form it. A quadrilateral's interior angles add up to 360 degrees in all cases.

Given:

K(0. -2),  I(1, 2),  T(7, 5) and  E(4, -1).

We have to show a quadrilateral KITE is a kite.

We have to find the distance of each side of quadrilateral using the distance formula.

[tex]d = \sqrt{(x_2-x_1))^2+(y_2-y_1)^2}[/tex]

Here,

[tex]KI = \sqrt{(1-0)^2 + (2-(-2))^2} = \sqrt{1+16} = \sqrt{17} \\IT = \sqrt{(7-1)^2 + (5-2)^2} = \sqrt{36 + 9} = \sqrt{45} = 3\sqrt{5} \\TE = \sqrt{(4-7)^2 + (-1-5)^2} = \sqrt{(9 + 36)} = \sqrt{45} = 3\sqrt{5} \\KE = \sqrt{(4-0)^2 + (-1-(-2))^2} = \sqrt{x} = \sqrt{16 + 1} = \sqrt{17}[/tex]

Hence, KITE is a kite because each two opposite sides of kite are of equal length and satisfy the property of quadrilateral.

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Option D. 2x^2 - 13 is Correct.

What is the function notation?

Function notation is a way of writing mathematical functions using a specific syntax. A function is a rule that assigns a unique output to each input. In function notation, the function is represented by a letter, usually f, g, or h, followed by a variable in parentheses.

To find (f g)(x), we first need to find g(x) by substituting the value of x into the equation for g(x) = x^2 - 7:

g(x) = x^2 - 7

Next, we substitute the result of g(x) into the equation for f(x) = 2x + 1:

(f g)(x) = f(g(x)) = f(x^2 - 7) = 2(x^2 - 7) + 1

So the final result is (f g)(x) = 2x^2 - 14 + 1 = 2x^2 - 13

Hence, (f g) (x) = 2x^2 - 13

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Therefore , the solution of the given problem of function comes out to be (5g -2h)(x) = 5x² -4x -16 .

The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input. Each equation function is given a city, town, or scope, which is frequently referred to as a realm. Functions are typically denoted by the letter f. (x).

Here,

given:

g(x)=x²-2

h(x) = 2x + 3

To find : (5g -2h)(x)

So,

5g(x) = 5x²-10

and

2h(x) = 4x + 6

=>  (5g -2h)(x) = 5x²-10 - 4x -6

=> (5g -2h)(x) = 5x² -4x -16

Therefore , the solution of the given problem of function comes out to be (5g -2h)(x) = 5x² -4x -16 .

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The area represented by g(x) is the definite integral of g(x) with respect to t from t=0 to t=x:

g(x) = ∫(t^4) dt from 0 to x

To find g'(x) using Part 1 of the Fundamental Theorem of Calculus, we know that:

g'(x) = d/dx (∫(t^4) dt from 0 to x) = (t^4) evaluated at x = x^4

To find g'(x) using Part 2 of the Fundamental Theorem of Calculus, we can evaluate the integral:

g(x) = ∫(t^4) dt = (1/5)t^5 evaluated from 0 to x = (1/5)x^5

then take the derivative of g(x) with respect to x:

g'(x) = d/dx ((1/5) x^5) = (1/5) * 5x^4 = x^4

Both ways give the same result of g'(x) = x^4

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The sum of the measures of the interior angles of a Pentagon is 540 degrees. and the sum of the exterior angles is 360 degrees.

The sum of the measures of the interior angles of a Quadrilateral is and the sum of the exterior angles is  360 degrees.

The sum of the measures of the interior angles of a Dodecagon is and the sum of the exterior angles is 1, 440 degrees.

The sum of the interior angles of a pentagon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. For a pentagon, n = 5, so the sum of the interior angles is (5-2) x 180 = 540 degrees.

The sum of the exterior angles of a polygon is equal to 360 degrees. This is true for any polygon, regardless of the number of sides.

The sum of the interior angles of a quadrilateral is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. For a quadrilateral, n = 4, so the sum of the interior angles is (4-2) x 180 = 360 degrees.

The sum of the interior angles of a Dodecagon is equal to (n-2) times 180 degrees, where n is the number of sides of the polygon. For a Dodecagon, n = 12, so the sum of the interior angles is (12-2) x 180 = 1440 degrees.

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Answer:

yes 5=89

Step-by-step explanation:

Answer:

It would have changed by 25 dollars.

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Consider the points [tex](-3,-12)[/tex] and [tex](2,13)[/tex].

[tex]m=\frac{-12-13}{-3-2}=5 \\ \\ y-13=5(x-2) \\ \\ y-13=5x-10 \\ \\ y=5x+3[/tex]

The centroid of the region is (3,1).

The centroid of a region is a point that is the average of all the vertices of the region. In other words, it is the point that is the center of mass of the region. To find the centroid of a region, we need to find the x and y coordinates of the vertices of the region and then take the average of these coordinates.

To find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 8x, and the line x + y = 6, we need to find the x and y coordinates of the vertices of the region.

The parabola y^2 = 8x and the line x + y = 6 are the equations of the boundaries of the region. We can find the vertices of the region by solving for the points where these two equations intersect.

The parabola y^2 = 8x can be rewritten as y = ±√8x. So the x-coordinate of the vertex of the parabola is (3,3).

The line x + y = 6 can be rewritten as y = -x + 6. So the x-coordinate of the vertex of the line is (0,6) and (6,0).

So the three vertices of the region are (0,0), (3,3), and (6,0).

So the centroid of the region is (3,1).

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The general form of the equation for the given circle is:

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

A circle is a closed shape consisting of all points that are a fixed distance, called the radius, away from a single point, called the center. It is a two-dimensional geometric shape and is defined by its diameter, which is the distance between two points on the circle that are opposite each other and pass through the center.

An equation is a mathematical statement that asserts the equality of two expressions. It typically contains one or more variables, which are placeholders for unknown numbers or values, and one or more constants, which are fixed numbers. The most common type of equation is an algebraic equation, which uses mathematical operations such as addition, subtraction, multiplication, and division to relate the variables and constants.

The general form of the equation for a circle is

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

where,

(a,b) is the center of the circle and

r is the radius of the circle.

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As a result, if [f(x) is (x)], then the equation [y is f(-x + 2)] defines the graphed function.

[y = f(-x + 2)] is the equation that describes the graphed function.

As stated in the question, a reference graph diagram and details on the function f(x), which equals the square root of "x," are given.

From the four possibilities provided, we are expected to select the equation that best explains the graphed function.

We will employ the trial-and-error approach to this problem, employing the possibilities to identify the best solution.

First off, the graph's x-axis and y-axis are both broken at (4, 0) and respectively (0, 2). As a result, [y = f(x)] requires that our equation be equal to 0 when (x = 4) is replaced and to 2 when (x = 0).

Taking into account option (A), we obtain, by substituting (x = 4) for (y = f[(- x) + 4] = sqrt[(- x) + 4]

y = sqrt[(- 4) + 4]

furthermore, y = sqrt (4 - 4)

furthermore, y = sqrt (0)

or, y = 0

The result of replacing (x = 0) is y= [(-0)+4]

or y = sqrt(4) or y = 2 or y = (4-0)

As a result, option (A) is satisfied at locations (4, 0) and (0, 2).

Similar results may be obtained for the other three possibilities by substituting and checking: for (x = 4), (y 0), and for (x = 0), (y 2).

As a result, if [f(x) = (x)], then the equation [y = f(-x + 2)] defines the graphed function.

A function in mathematics is an operator that, given an input, will carry out a predetermined series of operations.

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The pressure for the force of 90 KN applied to the area of 15 square meters will be 6 KN/m².

The force applied perpendicularly to an object's surface per unit area over which that force is distributed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.

Given that the force is 90 KN and the area of the application is 15 square meters.

The pressure is calculated by the formula:-

Pressure = Force / Area

Pressure = 90 / 15

Pressure = 6 KN / m²

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The absolute value will be used over distance coordinate formula when the line is parallel to either the y-axis or x-axis.

The common formula to find the distance between two coordinates is expressed as;

D = √[(x₂ - x₁)² + (y₂ - y₁)²]

Now, this formula is very useful when the two coordinates don't have their x coordinates equal or y coordinates equal and when the line is parallel to either the y axis or x axis.

When we have a case where the line is parallel to wither the y or x axis, then it is pertinent to note that if one coordinate is negative and the other is positive, we know that opposites have the same distance from zero, hence have the same absolute value.

Thus, we can find the absolute value to get the length.

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The area of a rectangle is length ✕ width. So, width = area/length, i.e., 24 square units/4 units or 6 units.

Because its sides are coupled, it only has two distinct dimensions. The rectangle’s length is traditionally the longer of these two dimensions, although when the rectangle is displayed standing on the floor, the vertical side is commonly termed the length.

A rectangle’s opposite sides are equal and parallel. Because a rectangle is a 2-D form, it has two dimensions: length and breadth. The length of the rectangle is the longer side, while the width is the shorter side. Square units of measurement include square inches, square feet, and square meters. To calculate the area of a rectangle, multiply its length by its breadth. The formula is as follows: A = L * W, where A

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Answer:

[tex]a^2+b^2[/tex]

Step-by-step explanation:

The SUM of the SQUARES of a and b

The square of a is a^2

The square of b is b^2

The sum of them is: a^2 + b^2

Answer:

well if its about a right triangle its c^2 if not its just a^2+b^2

Step-by-step explanation:

Answer:

7. 4x^4-12x^3+7x^2+3x-2

8. x^6-4x^5+9x^4-24x^3+27x^2-36x+27

9. -x^2+3x-8

Step-by-step explanation:

Answer:

enter this equation in desmos or symbolab, i cant do it here

Step-by-step explanation:

50% of 1.6 km, or 0.8 km, is how far Andre lives from school, which is 1.6 km away.

A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.

given

Of means multiply and is means equals

W = 50% of 1.6

Change to decimal form

W = .50 * 1.6

W  = .8 km

50% of 1.6 km, or 0.8 km, is how far Andre lives from school, which is 1.6 km away.

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Answer: You take a test with 32 questions on it. You answer 24 questions correctly 92% percent of the questions do you answer correctly.

Step-by-step explanation: To solve this question we will simplify it logically,

Here, according to the statement given we have 32 question so we will find the differtence between the total number of given questions to the number of questions we solve correctly.

So there are 8 questions that we did wrong .

Now, we will find in percent , substract 8 out of 100% Then we will get the percent of the number of question taht are correct which is 92%.

The expression y = 1/2x is required a multiplication equation as a factor with 1/2.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Given multiplication factor between the value is given as 1/2, So it is assumed that one of the dependent variables is equal to 1/2 times the independent variable. expression is given as,
y = 1/2x.

Thus, the expression y = 1/2x is required a multiplication equation as a factor with 1/2.

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Ms. McCarty uses 1/10 fraction of the sheet of paper to make a flower

Ms.McCarty uses 1/2 of a piece of construction paper

She uses 1/5 of this quantity to make a flower

Therefore the fraction of the sheet of paper used to make the flower can be calculated as follows

1/2 × 1/5

= 1/10

Hence she uses 1/10 of the sheet of paper to produce the flower

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Answer:

[tex]\frac{15}{16}[/tex]

Step-by-step explanation:

We will use the rule of KCF (Keep, Change, Flip) to solve a problem where a fraction divides by a fraction. We will start out with our original expression:

[tex]\frac{5}{8} / \frac{2}{3}[/tex]

Then, we will keep the first number, change the division sign to multiplication, and flip the last fraction, giving us:

[tex]\frac{5}{8} * \frac{3}{2}[/tex]

Then, you multiply the numerators and denominators, giving you:

[tex]\frac{15}{16}[/tex]

Then, you cannot simplify further. So, your answer is [tex]\frac{15}{16}[/tex].

Hope this helped!

Answer: 240

Step-by-step explanation:

The difference in cost between the two plans after 18 months is $240.

This is because the cost of Company A is consistently $35 more per month than that of Company B, which therefore would add up to $630 after 18 months.

The linear equation representing the cost of Company A is Y = 35X + 40, while the linear equation representing the cost of Company B is Y = 50X.

After 18 months, X would equal 18, and substituting this value into the two equations, we get the following for Company A:

Meanwhile, for Company B, we get:

The difference between these two values for different internet service providers is:

This question should be provided with this following data:

Company A

Month, X : 1, 2, 3, 4

Total Cost ($), Y: 75, 110, 145, 180

Company B

Month, X : 1, 2, 3, 4

Total Cost ($), Y: 60, 110, 160, 210

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Answer:

x=9

Step-by-step explanation:

1/3(x+7)=5 1/3

5 1/3=16/3

1/3(x+7)=16/3

x+7=(16/3)/(1/3)

x+7=(16/3)(3/1)

x+7=16/1

x+7=16

x=16-7

x=9

Answer:

x = 9

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (1/3)(x + 7) = 5 1/3

Then the value of x will be,

→ (1/3)(x + 7) = 5 1/3

→ (x + 7)/3 = 16/3

→ x + 7 = (16/3) × 3

→ x + 7 = 48/3

→ x + 7 = 16

→ x = 16 - 7

→ [ x = 9 ]

Hence, the value of x is 9.

If there are 26 cubic inches of popcorn within the box, it will be 76% full.

Volume is a unit used to describe how much room an object occupies. For instance, because two shoe boxes use twice as much space as one, they have twice as much volume.

Multiplying a rectangular prism's length, width, and height yields its volume. Volume of a rectangular prism is calculated as follows: Volume = Length x Width x Height

[tex]$$\begin{aligned}& \text { Volume }=2 \frac{1}{2} * 2 \frac{3}{4} * 5 \\& \text { Volume }=\frac{5}{2} * \frac{11}{4} * 5\end{aligned}$$[/tex]

Volume[tex]$=\frac{275}{8}$[/tex] cubic inches

Currently 26 ÷ 275/8 * 100%\s= 208/275 * 100%\s≈76%

Therefore, if the box holds 26 cubic inches of popcorn, it will be 76% full.

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To find the approximate difference in the percentage of people that liked pepperoni on their pizza and the percentage of people that only liked cheese pizza, we need to find the percentage of people that liked pepperoni and the percentage of people that only liked cheese, and then subtract the smaller percentage from the larger percentage.

From the graph, we can see that 30 people liked pepperoni, 20 people liked mushrooms, 15 people liked sausage, and 10 people liked cheese and olives.

The total number of people Jimmy asked is 30+20+15+10 = 75

The percentage of people that liked pepperoni is 30/75*100 = 40%

The percentage of people that only liked cheese is 10/75*100 = 13.33%

The difference between 40 and 13.33 is 26.67%.

So, the approximate difference in the percentage of people that liked pepperoni on their pizza and the percentage of people that only liked cheese pizza is 26.67%.

Therefore , the solution to the given problem of function comes out to be The sphere does not ricochet when launched from 0 feet, as indicated by the function's starting value.

Mathematics is the study of numbers and their variations, mathematics and adjacent tissues, shapes and actual locations, and possible locations for them. The term "function" refers to the relationship between a collection of inputs, which each have an associated output. A function is a relationship of inputs and outputs in which each input yields a single variable, distinct output.

Here,

A table with a linear function is provided to us, showing the height to which a ball would bounce when dropped from various heights.

The height to which ball bounces is 0 feet when the elevation from which it is dropped is 0 feet, according to the table.

Therefore, at the initial position, where the ball is dropped from a height of 0 feet, the ball doesn't quite bounce at all, meaning that the height at which the orb bounces is also 0 feet.

The sphere does not ricochet when launched from 0 feet, as indicated by the function's starting value.

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The person that is correct in this discussion on the diagonal of the kite is Tyler.

Tyler is correct because the diagonal is just a line that is known to run from one end of a shape to the other end

When two polygonal or polyhedral vertices are not on the same edge, a diagonal in geometry is a line segment that connects them. Any sloping line is referred to as a diagonal.

The kite bounces back on itself along a line of symmetry. Segments move to congruent segments by reflections. A kite has two congruent pairs of sides placed adjacent to one another.

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