Each X=.........student​

The polygons (quadrilaterals) are similar by the congruency of three interior angles and the equal ratios (5 : 4) of  a pair of adjacent sides. The correct option is therefore

B. Yes; PQSN ~ AGKD, scale factor; 5 : 4

Similar polygons are polygons that have the same interior angle, and proportional dimensions.

The specified parameters indicate that we have;

Polygon PQSN and AGKD are quadrilaterals

Length of sides of polygon PQSN

Length of side PQ = 10, QS = 7.5, SN = 15, NP = 15

Length of sides of polygon AGKD

AG = 12, GK = 12, KD = 8, DA = 6

The measure of the angles are;

∠K ≅∠S

∠S ≅ ∠A

∠N = ∠G = 90°

The angle sum property of a quadrilateral indicates that the measure of the fourth angle of both quadrilateral are congruent

The ratio of two adjacent sides of the quadrilaterals are;

7.5/6 and 10/8

7.5/6 = 1.25

10/8 = 1.25

Therefore;

[tex]\dfrac{7.5}{6} =\dfrac{10}{8} =1.25[/tex]

The ratio of two adjacent sides of the quadrilaterals PQSN and AGKD are therefore the same.

The three interior angles of quadrilateral PQSN are congruent to three interior angles of quadrilateral AGKD, and the ratio of two adjacent sides from each quadrilateral are the same, therefore,  quadrilaterals are PQSN is similar to quadrilateral AGKD

The scale factor of dilation from quadrilateral PQSN to AGKD is 7.5 : 6 = 15 : 12 = 5 : 4

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162.5  is the simple interest for one year.

What does the term "simple interest" mean?

The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest.

                   Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

P = $812.50

T = 1 Year

S.I. = ?

R = 20

According to question,

                 S.I. = P * R* T/100

                     = 812.50 * 20 * 1/100

                     = 16250/100

                    = 162.5

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Answer:

Step-by-step explanation:

3

Answer:

(It's weird how I answered this question for someone else 12 minutes ago.)

There was no data provided but due to simple research i have conducted the following data

Qualifiers are in bold, italics and underlined.

Step-by-step explanations:

Chio- 3 1/5

Kevin- 3.2

Ojas- 3 8/30

Sydney- 3 13/60

Qualifiers: Chico, Kevin

let me know if this is incorrect data

Answer:

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

Let the numbers be:

Geometric means give us:

Then:

Given options give us:

Since all the above options are false, the answer is option D.

By using the property of congruency of triangles,

[tex]\angle[/tex]Y [tex]\cong[/tex] [tex]\angle[/tex]X has been proved

What is congruency of triangles?

Two triangles are said to be congruent if the corrosponding angles are equal and the corrosponding sides are equal.

There are different axioms of congruency. They are

SSS axiom, SAS axiom, AAS axiom, ASA axiom, RHS axiom

Z is the midpoint of XY [Given]

WZ [tex]\perp[/tex] XY  [Given]

[tex]\angle[/tex]WZX [tex]\cong \angle[/tex]WZY [90° each]

XZ [tex]\cong[/tex] YZ [Z is the midpoint of XY]

WZ [tex]\cong[/tex] WZ [Reflexive property of congruency]

[tex]\Delta[/tex] WXZ [tex]\cong \Delta[/tex] WYZ [SAS axiom]

[tex]\angle[/tex]Y [tex]\cong[/tex] [tex]\angle[/tex]X [Corrosponding parts of congruent triangles are congruent]

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Answer:

[tex]\huge\boxed{\sf 3x -4}[/tex]

Step-by-step explanation:

Add both equations.

= 2x + 1 + x - 5

Combine like terms

= 2x + x + 1 - 5

[tex]\rule[225]{225}{2}[/tex]

Answer:

f(x) + g(x) = 3x - 4

Step-by-step explanation:

The problem is,

→ f(x) + g(x)

Let's solve the problem,

→ f(x) + g(x)

→ (2x + 1) + (x - 5)

→ 2x + 1 + x - 5

→ (2x + x) + (1 - 5)

→ 3x +(-4)

→ 3x - 4

Hence, answer is 3x - 4.

The range of possible lengths for the third side is [16.52,17.46] for 1st part and [46.13,57.27] for 2nd.

What is pythagoras theorem?

The Pythagorean theorem or Pythagoras' theorem could be a elementary relation in parabolic geometry between the 3 sides of a trigon.

Main Body:

To find range of possible lengths for the third side , we will use Pythagoras theorem : a²+b² = c²

7.     4 cm, 17 cm

4²+17²=c²

16+289=c²

305=c²

To undo the square you have to square root so

√ 305 =17.46

OR

17² = 4²+b²

289 -16 =b²

b = √273 = 16.52

range of possible lengths for the third side is [16.52,17.46]

8.  24 ft , 52 ft​

24² =576

52² =2704

2704+576=3280

√3280 =57.27

OR

52² = 24²+b²

b²= 2704-576

b=√2128

b = 46.13

range of possible lengths for the third side is [46.13,57.27]

Hence the range of third side is found out.

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Answer:

its 3/5 and 9/5

Step-by-step explanation:

HOPE IT HELP :D

The student did better in the test of Geography.

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

To solve this question, we will use the z-score formula to find the w test in which the student scored better. The z-score formula is;

z = (x - μ)/σ

Now, for Geography we have given :

              Test score (x) = 68

                      Mean (μ) = 80

Standard deviation (σ) = 10

Thus, the z-score here will be :

z = (68 - 80)/10

z = -1.2

Similarly, for Mathematics we have given :

              Test score (x) = 249

                      Mean (μ) = 300

Standard deviation (σ) = 34

Thus, the z-score here will be :

z = (249 - 300)/34

z = -1.5

Since the z-score for Geography is less than that of Mathematics, thus, we can conclude that the Geography test is the one in which the student scored better.

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Answer:

The transformations applied to the parent function k(x)=x| to obtain f(x)= -1/2|x+3/-1 are reflection in the y-axis, vertical stretching by a factor of 1/2, and a horizontal shift of 3 units to the right.

Step-by-step explanation:

To obtain f(x) from k(x), we first reflect k(x) in the y-axis, which changes the sign of the function and flips it over the x-axis. This gives us -k(x). Next, we vertically stretch the graph of -k(x) by a factor of 1/2. This makes the graph of -k(x) taller and narrower. Finally, we shift the graph of -k(x) 3 units to the right. This moves the entire graph 3 units to the right on the x-axis. The resulting function is f(x)=-1/2|x+3/-1.To understand why these transformations were applied, it's helpful to consider the effect of each transformation on the graph of k(x)=x|. Reflecting in the y-axis flips the graph over the x-axis and changes the sign of the function, so it becomes -k(x). Vertical stretching by a factor of 1/2 makes the graph of -k(x) taller and narrower. Finally, shifting the graph of -k(x) 3 units to the right moves the entire graph 3 units to the right on the x-axis. This results in the graph of f(x)=-1/2|x+3/-1.

Answer:

(Assuming it is k(x) = |x| and f(x) = -1/2|x+3| -1

Scale vertically by a factor of -1/2

Shift left 3

Shift down 1

Step-by-step explanation:

The -1/2 is multiplied by everything, so it scales the graph vertically by -1/2. The -1 is again, everything(as opposed to just modifying the x), so it shifts the graph down by 1.

The + 3 is a little more confusing. Basically, x would have to be x-3(which is shifting the graph left) in order to retain the same x-value(to make the equation true) for the same value. This is the same for y, but we usually isolate y so it doesn't come up as often. If we add 1 to both sides, we get [tex]f(x) + 1= -1/2|x+3|[/tex], and for the same reasoning the graph would shift down 1 even though it is f(x) + 1, because for the same x-value the y-value would need to be 1 less to make the equation to hold true.

Feel free to message me/comment on this answer if you would like more clarification/why it is "backwards" or anything else about my answer.

I hope this helps!

Answer: b/13

Step-by-step explanation:

Divide b by 13 to get b/13

Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].

What is the slope of line?

The slope is always estimated by determining the ratio of the “vertical change” to the “horizontal change” between any two different points on a line.

Here given thaat the line that has a slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex].

Then,

[tex]y=mx+c\\\\y=\frac{x}{5}+c\\\\x=0,y=0\\\\0=0+c\\\\c=0[/tex]

Thus,

[tex]y=\frac{x}{5}+c\\\\c=0[/tex]

Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].

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The amount of money that Noah needs to invest would be = $ 6,558

An interest rate is defined as the rate at which an individual receives an interest on an invested funds over a stipulated period of time.

The interest rate (R) = 7% = 0.07 (decimal form)

The time for the investment (T) = 10 years.

The present value of the account (A) = $12,900

n compounding frequency = 1

Using the formula;

A = P (1 +r/n) ^nt

12,900 = P ( 1 + 0.07) ^ 10

12,900 = P (1.07) ^10

12,900 =P 1.96715

P = 12,900/1.96715

P =$ 6,558

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The answer is C. 387

Step-by-step explanation:

9+21(13+5)

First do what is in parentheses:

9+21(13+5)

=9+21(18)

Next do 21(18) or 21 x 18:

9+21(18)

=9+378

The last step is to add:

9+378=387

The answer is C. 387

We know that there are 850 more red marbles left than blue marbles by solving equations.

The equals sign is used in mathematical equations to indicate that two expressions are equal.

An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra.

For instance, the word "equal" separates the formulas 3x + 5 and 14, which together form the equation 3x + 5 = 14.

So, a number of red marbles more than blue marbles is:

Mackenzie has 3200 more red than yellow marbles.
y + 3200 = r

Additionally, she has 3840 more blue than yellow marbles.

y + 3840 = b

Assume Mackenzie has one yellow marble, then.

1 + 3200 = 3201 red marbles

1 +3840 = 3841 blue marbles

She will have left over 2351 blue marbles after giving away 1490

3841 - 1490 = 2351

She now has 3201 red marbles and 2351 blue marbles.

r - b =?

3201 - 2351 = 850

Therefore, we know that there are 850 more red marbles left than blue marbles by solving equations.

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The total number of hours Tony will he need to work to save amount $1,000 is 242 hours.

The given data for the question is-

Thus,

38%(12.5x - 0.13(12.5x)) = 1000

0.38(10.875x) = 1000

x = 2631.57/10.875

x = 241.98

x = 242

Thus, total number of hours Tony will he need to work to save

$1,000 is 242 hours.

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The Value of x is 69.78 per given equation.

1/5(4x-2.5) = 5(0.4+10)+3 1/3

0.2(4x-2.5) = 5(0.4+10)+3.33

0.2(4x-2.5) = 5(10.4)+3.33

0.2(4x-2.5) = 52 + 3.33

0.2(4x-2.5)=55.33

4x-2.5 = 276.33

4x = 276.33+2.5

4x = 279.15

x = 69.78

So, the value of x is 69.78

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Answer:

0.07407407

Step-by-step explanation:

divide 2 by 27

Answer:

0.0740

Step-by-step explanation:

just divide 2 by 27

Answer:

DGE and BGA

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°

so BGD + DGE = 180 or BGD + BGA = 180

so both DGE and BGA are supplementary to BGD

If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.

Voting is an ensemble technique for making predictions by combining the results of various models. The predictive performance of an ensemble is better than that of a single predictive model in a predictive modeling issue. This is accomplished by the model adding bias, which lowers the variance component of the prediction error

calculation

Voting ensembles frequently produce even better results, so try combining them.

The models should differ greatly for it to operate. 95 percent accuracy.

We will therefore get better results if we combine them.

If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.

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Step-by-step explanation:

For this select the function with the leading term with the power of 2

1 and 6 are the only quadratic function ( BECAUSE THEY ONLY HAVE FUNCTION WITH GREATEST POWER OF 2)

The total volume of all 10 holes and pipes is about 24.135 cubic feet.

Generally, To calculate the volume of the holes, you can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

In this case, the radius of the hole is 0.5 feet (since the hole is 1 foot across and the diameter of the pipe is 3 inches, which is 0.25 feet), and the height is 3 feet. Plugging these values into the formula, we get:

Volume = π * 0.5^2 * 3 = 0.785 * 3 = 2.355 cubic feet

So each hole has a volume of about 2.355 cubic feet. To find the total volume of all 10 holes, you can simply multiply this number by 10:

Total volume = 2.355 * 10 = 23.55 cubic feet

This is the volume of the holes themselves, not including the volume of the pipes. To find the volume of the pipes, you can use the same formula, but with the radius of the pipe (which is 1.5 inches, or 0.125 feet) and the length of the pipe (which is 3 feet).

Volume = π * 0.125^2 * 3 = 0.0195 * 3 = 0.0585 cubic feet

So the volume of one pipe is about 0.0585 cubic feet. To find the total volume of all 10 pipes, you can multiply this number by 10:

Total volume = 0.0585 * 10 = 0.585 cubic feet

23.55 + 0.585 = 24.135 cubic feet.

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CQ not found

We can not write the polynomial g(x) as a product of linear factors.

What is polynomial?

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression made up of variables, constants, and exponents (No division operation by a variable).

Given:

g(x)=x³ + 3x² - 7x − 3 and x = -1 is a zero of g(x).

Since, if x = a is a zero of the polynomial then (x - a) is a factor of polynomial.

Here (x - (-1)) = (x + 1) is a factor of g(x).

First to check x = -1 is a zero of polynomial or not.

Plug x = -1 in g(x).

g(-1) = (-1)^3 + 3(-1)^2 - 7(-1) - 3

g(-1) = -1 + 3+ 7 - 3

g(-1) = 6

g(-1) ≠ 0

Hence, we can not write the polynomial g(x) as a product of linear factors.

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Answer: M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)

Step-by-step explanation:

The slope is already given in the equation, which is 2

M=2

y-intercept = (0,7)

x-intercept = (-7/2,0)

Miles has to spend $295.3375 on his new computer.

Sales tax is applied to the price after the discount is applied because discounts are typically provided directly by the retailer and lower both the sales price and the money the retailer receives.

So Original price of Computer  is $325.00

Discount with computer is 15% off.

15% of $325 is (325*15)/100 = $48.75.

Price of computer after discount = 325-48.75 =$276.25

Now sales tax will be applied on this price.

7% sales tax = 0.07

amount of sales tax = 276.25*0.07 = 19.3375

Price of Computer after sales tax   = 276+19.3375 = 295.3375.

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To view the representation of graph of check the attached image.

Given that ;

Stewart's overdue assignment = 36

Per day he complete 4 overdue assignments.

To find : In how many days he complete all the overdue assignments

To complete 36 overdue assignments = 36/4

                                                                = 9 days

Therefore, In 9 days he complete all the overdue assignments

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Answer:

Should be B

Step-by-step explanation: