Triangle G H J is rotated 90 degrees about point X to form triangle S T R.

Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?
TR ≅ GJ
∠S ≅ ∠H
TS ≅ HG
∠R ≅ ∠G

Answer:

Magnitude and Direction is 928 and 44

Step-by-step explanation:

For a Vector w = (x)i+(y)j

The Magnitude of w [tex]=\sqrt{x^{2} +y^{2} }[/tex]

and the Direction of w [tex]=tan^{-1}(\frac{y}{x} )[/tex]

So for our Question , w = - 168i - 160j

Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j

Then the Magnitude of -4w = [tex]\sqrt{672^{2} +640^{2} } =928[/tex]

and the Direction of -4w = [tex]tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44[/tex] ( to the nearest whole number)

Hope it Helps:)

Answer:

y = 13.2ft

Step-by-step explanation:

This is a bit of trial and error.

We know that the height of one rectangle is 6.2ft, which means we cannot subtract 7 from 6.2 to find the height of the other rectangle as it will give us a negative value and it will not make sense.

Therefore the height of the other rectangle has to be 7ft higher.

y = 6.2 + 7 = 13.2ft

This question is incomplete. Below you can find the missing content.

Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units

(3, -1) and (5, 4)

(2, 3) and (4, 5)

(-5, 7) and (8, 5)

(-2, 4) and (3, -1)

The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

The distance between two points can be calculated by the formula given below

Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²

where (x1,y1) and (y1,y2) are the coordinates of the points.

The distance between the points which is of coordinates (3, -1) and (5, 4)

d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units

The distance between the points which is of coordinates (2, 3) and (4, 5)

d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units

The distance between the points which is of coordinates (-5, 7) and (8, 5)

d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units

The distance between the points which is of coordinates (-2, 4) and (3, -1)

d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units

Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.

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The answers are as follows:

A trapezoid with its two nonparallel sides equal.

Given:

<BAD =65

As, MN is mid segment

So,

BC= 2CM

BC = 16

Now, ABCD is isosceles trapezoid

BC= AD

So, AD= 16

and, Using mid- point theorem

MN= 1/2 AB

MN = 1/2* 22

MN= x = 11

Also, co- interior angle sum is 180 in trapezium

<BAD + <BCD = 180

<BCD + 65 =180

<BCD = 115

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Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence

Series are defined as sum of sequences. Given the following sequence

5, 10, 15, ..., 100

The common difference is 5 and the number that have digits zero in the sequence are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100

Since there are 10 values that have the zero digits, hence the zero digits appear 10 times in the sequence

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The total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.

The methods we use to add or subtract decimals are as follows:

In the question, we are informed that two friends bring lemonade to the cookout. The first brings 2.7 liters and the second brings 3.54 liters.

We are asked to find the total lemonade brought by them to the cookout.

To find the total lemonade, we add both the decimal quantities following the steps discussed.

    2.7

+   3. 54

Step 1: Adding zeroes:

    2.70

+   3. 54

Step 2:  Treating them as numbers and adding:

    2.70

+   3. 54

________

    624

Step 3: Aligning decimal points:

    2.70

+   3. 54

________

    6.24

Thus, the total lemonade the two friends bring to the cookout when one brings 2.7 liters and the other brings 3.54 liters of lemonade is 6.24 liters of lemonade, computed using decimal addition.

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Answer: 0

Step-by-step explanation:

When x=0, y=4.

When x=4, y=4.

So, the rate of change is 0.

Answer:

See attached image.  

250 shirts at $50/shirt is the equilibrium.

Step-by-step explanation:

Answer:

x = -1

y = -2

Step-by-step explanation:

You can use the method of substitution to solve this equation. Since you know that y= 2x, you can substitute that value into x + y = -3:

x + (2x) = -3

Combine like terms:

3x = -3

x = -3/3

x = -1

Now that you know the value of x, you can substitute it into any of the two equations (I'll be choosing y = 2x)

y = 2x

y = 2 (-1)

y = -2

So your solution is x = -1, y = -2

Point form: (-1, -2)

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

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A number line is a line that shows the locations of all directed numbers. The answers required to the question are:

i. The location of G is 2.18.

ii. The length of FG is 0.98.

A number system is a system that can be used to locate the position of directed numbers on a number line. A number line has two ends: positive and negative ends. This starts from negative infinity to positive infinity. Thus all numbers can be located on a number line.

Directed numbers are numbers that have either a positive sign or a negative sign. Thus all numbers are directed numbers.

From the given question, let the distance between FG and GH be represented by x (since Point H is the length of FG from point G).

Thus,

Point FH = 3.15 - 1.20

              = 1.95

x = [tex]\frac{FH}{2}[/tex]

   = [tex]\frac{1.95}{2}[/tex]

x = 0.975

So that,

Location of point G = 1.200 + 0.975

                                = 2.175

Therefore, the location of G is 2.175 (2.18). And the length of FG is 0.975 (0.98).

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Answer:

Location of G: 6.4

Length of FG: 5.2

Step-by-step explanation:

correct on Edementum/Plato

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

The functions are given as:

f(x) = x

g(x) = mx

Substitute f(x) = x in g(x) = mx

g(x) = mf(x)

From the question, we understand that:

m > 1

This means that;

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

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Answer:

200

Step-by-step explanation:

72---->36%

x------> 100%

72×100

7200÷36=200

To check, let do it the other way round. 200×0.36=72.

There was total 200 multiple choice history question in Ximena's exam.

For the given question,

Total questions answered by the Ximena is 72.

The total percentage was 36%.

Let 'x' be the total number of the questions.

Then,

36% of x = 72

36x /100 = 72

x = 7200/36

x = 200

Thus, there was total 200 multiple choice history question in Ximena's exam.

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Answer:

4

Step-by-step explanation:

LCM of 2 and 4 (denominators of fraction)

= 4

Answer:

16.2 kilograms

Step-by-step explanation:

30 300-gram cans = 9000 grams of soup

18 400-gram cans = 7200 grams of vegetables

9000 + 7200 = 16200 grams

1000 grams = 1 kilogram

16200 / 1000 = 16.2 kilograms

The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

What is algebra ?

Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.

The number of cans of soup in one box = 30 cans

And each can has 300 grams of soup.

So , the total amount of soup in one box is :

= 30 × 300

= 9000 grams of soup

Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.

So , the total amount of vegetable in the other box is :

= 18 × 400

= 7200 grams

Total food students collect is :

= 9000 grams soup + 7200 grams vegetables

= 16200 grams food

We know that :

1000 grams = 1 kilogram

So , converting grams into kilograms we get :

16200 / 1000 = 16.2 kilograms food

Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.

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Answer:

12.56 Inches

Step-by-step explanation:

1. The formula to find the circumference is 2 * Pi * r

2. Using this formula we get 2 * 3.14 * 2 = 12.56

3. The radius is in inches so our final answer will also be in inches.

Answer:

The Circumference of the circle would be 12.56 inches

Step-by-step explanation:

All you have to do is multiply the radius by 2 the multiply by pi (3.14)

Use the formula and you will get that the circumference is 12.56

Hope this helped! :D

Answer:

-1

Step-by-step explanation:

We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.

Using the law of cosines, it is found that the approximate measure of angle G is of 41.4º.

The law of cosines states that we can find the angle C of a triangle as follows:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

in which:

In this problem, we want to find angle G, hence c = 8, then:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

[tex]8^2 = 10^2 + 12^2 - 2(10)(12)\cos{G}[/tex]

[tex]240\cos{G} = 180[/tex]

[tex]\cos{G} = \frac{3}{4}[/tex]

[tex]G = \arccos{\left(\frac{3}{4}\right)}[/tex]

G = 41.4º.

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Answer: DE NADA

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

A function assigns the value of each element of one set to the other specific element of another set.

Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2.

1.) h(8) = 21

Since the value of h(8) is 19. This can not be the correct option.

2.) h(-3) = -1

Since the range is from 1 to 25. Therefore, this is not the correct option.

3.) h(13) = 18

Since the domain is from -3 to 11. Therefore, this is not the correct option.

4.) h(2) = 16

This is the only option that is feasible. Thus, this is the correct option.

Hence, the correct option is D.

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A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

                                     = 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

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Answer:

Complementary: Angle SRP and Angle PRQ

Supplementary: Angle SRO and Angle SRQ

Step-by-step explanation:

Complementary: 90 degrees

Angle SRP and Angle PRQ

Supplementary: 180 degrees

Angle SRO and Angle SRQ

Answer:

£216.60

Step-by-step explanation:

If 5 calculators cost £31.25, then each calculator costs £6.25

If 3 pens cost £2.91, then each pen cost £0.97

30(6.25) + 30(0.97) = £216.60

Answer:

The second graph

Step-by-step explanation:

Well you're given the equation in slope-intercept form, which looks like: y=mx+b, where m is the slope, and b is the y-intercept. This is because the y-intercept is when x=0, so mx will becomes 0, thus leaving b alone, and making it the y-intercept. m is the slope because as x increases by 1, the y-value goes up by m, so the "rise" is m and the "run" is 1. The definition of the slope is rise/run so the slope would be m/1 or just m.

So let's analyze the equation: y=25x+40. the slope will be 25, and the y-intercept will be 40 (this is important for easily filtering very obviously wrong answer). So the linear equation will intersect the y-axis at (0, 40). Only one of the graphs intersects the y-axis at (0, 40) which is the second graph.

Answer:

357 cm2

Step-by-step explanation:

The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!

Its the first one, because x wont be affected, and 1 and -3 is a constant.

The graph of f(x) is shifted up by 5 units to get g(x)

The functions are given as:

g(x) = x + 5

f(x) = x

Substitute f(x) = x in g(x) = x + 5

So, we have:

g(x) = f(x) + 5

The above means that the graph of f(x) is shifted up by 5 units to get g(x)

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Answer:

(4,1), (4,2) pairs can be removed to make relation a function.

Step-by-step explanation:

Function states the relationship of ordered pairs where set A must have unique elements.

Answer: 16

Step-by-step explanation:

[tex](g \circ f)(-6)=g(f(-6))\\\\f(-6)=-(-6)-2=4\\\\\implies g(f(-6))=g(4)=4^2 = \boxed{16}[/tex]

The value of the function estimation; (g°f)(-6) is; 64.

It follows from the task content that; the fumcti given are; f(x) = -x-2 and g (x) =x².

Hence, the function (g°f) (x) can be evaluated as; (-x-2)² = x² +4x +4.

Ultimately, when x = 6; (g°f)(-6) = 6² +4(6) +4 = 64.

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