Side KN of figure KLMN is parallel to side LM. Figure KLMN is rotated 90 degress clockwise about Point P to produce Figure RSTU. Based on this information, select all statement that are true.

Answers

Answer 1

The figure KLMN is being rotated by 90°, which is a rigid transformation, the true statements are therefore;

(D) Figure RSTU is congruent to figure KLMN

(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

How can the similarities between the two figures following the rotation be found?

The given parameters are;

In KLMN, KN||LM

The transformation applied to figure KLMN = A 90° clockwise rotation about point P.

The image of KLMN following the rotation transformation is Figure RSTU.

Please find attached a drawing of the possible diagram in the question obtained from a similar question online.

The options from the question are;

(A) [tex] \overline{ST}[/tex] is parallel to [tex] \overline{RU}[/tex]

(B) [tex] \angle R[/tex] is the same measure as [tex] \angle N[/tex]

(C) [tex] \overline{RS} [/tex] is the same length as \overline{MN}

(D) Figure RSTU is congruent to figure KLMN

(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

A rotation transformation is a rigid transformation, therefore;

The distances between any two points on the pre–image is the same as the distance between corresponding points on the image, which gives;

Figure KLMN [tex] is congruent to [/tex] Figure RSTU

Figure KLMN [tex] \cong [/tex] Figure RSTU

According to the postulate, Corresponding Angles of Congruent Figures are Congruent, we have;

[tex] \angle T \cong \angle M[/tex]

Which gives;

[tex] \angle T[/tex] = [tex] \angle M[/tex]

[tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

The correct options are therefore;

(D) Figure RSTU is congruent to figure KLMN

(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

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Side KN Of Figure KLMN Is Parallel To Side LM. Figure KLMN Is Rotated 90 Degress Clockwise About Point

Related Questions

According to a survey conducted by a city’s chamber of commerce, approximately 41.5% of city residents prefer local businesses over national chains. The survey had a margin of error of ±3.8%. Round to the nearest tenth, if necessary.

Answers

The values in percentages will be 37.7% and the maximum will be: 45.3%

How to illustrate the information?

From the information, approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.

Therefore, the minimum number will be:

= 41.5% - 3.8%

= 37.7%

The maximum will be:

= 41.5% + 3.8%

= 45.3%

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A rectangular block has a mass of 1088g. The dimensions of the block are 8cm by 5cm by 4cm. What is the density of the block?

Answers

Answer:

277g / 40cm³

Step-by-step explanation:

Density = mass / volume

In this case:

volume = 8cm*5cm*4cm = 160cm³

then:

Density = 1088g / 160cm³ = 544g/80cm³ = 277g/40cm³

find the value of k if it is known that the line y=kx goes through the point B(-30,3)

Answers

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or [tex]\frac{-1}{10}[/tex] in the fraction form

Evaluate the following expression if a = -3 and b = 4. Square root 361 - 2a2 - [b - 17]

Answers

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

What is the numerical value of the expression?

Given that;

√361 - 2a² - [b - 17]a = -3b = 4

To determine the numerical value of the expression, replace all the occurrence of a and b with -3 and 4 in the respectively and simplify.

√361 - 2a² - [b - 17]

√361 - 2(-3)² - [(4) - 17]

√361 - 2(9) - [4 - 17]

√361 - 18 - [-13]

√361 - 18 + 13

19 - 18 + 13

1 + 13

14

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

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Which polynomial represents the sum below?
+
2x² + 5x+4
5x2+

Answers

Answer:

????

Step-by-step explanation:

I don't get this

at all

Write the standard form of the equation of the circle with the given characteristics.
Center: (-3, 4); Radius: 3
4. [-/6 Points]
DETAILS
LARPCALC11 1.3.027.
Find the slope of the line passing through the pair of points. (If an answer does not exist, enter DNE.)
(-8, -12), (1, 24)

Answers

The standard form of the equation of the circle is (x+3)²+(y-4)²=9 .

The slope of the line is

A circle is defined as the locus of a moving point which is always equidistant from a given point.

This given point is called the center of the circle.The distance between the center and the circumference of the circle is the radius if the circle.The standard form of a circle is given by the equation :                      (x-x₁)²+(y-y₁)²=r² , where (x₁,y₁) is a point on the circle and r is the radius.

The given point on the circle is  (-3, 4) and the radius is 3 units.

Hence the standard form of the equation of the circle is :

(x-{-3})²+(y-4)²=3²

or,  (x+3)²+(y-4)²=9

Let the two given two points as A(-8, -12) and B(1, 24).

Now the slope of the line AB can be calculated by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]

Now let us put the given values in the equation to calculate slope:

[tex]m_{AB}=\frac{24-(-12)}{1-(-8)}\\\\or, m_{AB}=\frac{36}{9} \\\\or, m_{AB}=4[/tex]

Hence the slope of the line is 4.

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A car is traveling at a speed of 45 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 2 seconds?

Answers

Answer:

12.50m/s

in 2 seconds: 25

im not really good at math but i tried

A quadratic function is decreasing on (-∞, 3) and increasing on (3, ∞).
Will the vertex be the highest or lowest point on the graph of the parabola?
Explain.

Answers

Greetings from Brasil...

If X grows and Y grows, the function is increasing

If X increases and Y decreases, the function is decreasing

Besides that, according to the statement, we can conclude that the parabola has an upward concavity, that is, a > 0. In this case the vertex will be a minimum point

check the attachments

P.S. - vertex coordinate = (3; 0)


What is the answer to this help (number 4.)

Answers

Here you go! Hope that helps

please help reflictions

Answers

Answer:

A would be reflected on the y-axis first then translated up 6 units

Step-by-step explanation:

solve the quadratic formula simpliest set for y^2-7y-9=0

Answers

Hope this helps. This is an explanation to get your answer

PLEASE HELP I DONT UNDERSTAND

Answers

According to the image, the figure moved four times to return to its initial position.

What is the initial position of the figure?

The starting position of the figure is in the lower left corner of the frame.

How does it move from position 1 to position 2?

The movement made by the figure from position 1 to position 2 is that it moves from the lower left corner to the lower right corner.

How do you move from position 2 to position 3?

The movement made by the figure from position 2 to position 3 is that it moves from the lower right corner to the upper right corner. Additionally, the figure rotates to the left 180°.

How does it move from position 3 to position 4?

The movement that the figure performs from position 3 to position 4 is that it moves from the upper right corner to the upper left corner.

How does it move from position 4 to position 5?

The movement made by the figure from position 4 to position 5 is that it moves from the upper left corner to the lower left corner. Additionally, the figure is rotated 180° to the left again.

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Identify the slope of the line. Interpret the slope in the context of this problem. Y=-2.3332x+123.98

Answers

Answer:

Slope = 2.3332

Interpretation: As increases by 1 unit,  y increases by 2.332 units

Step-by-step explanation:

Equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept

Comparing y=-2.3332x+123.98 to the standard equation form we get

m = 2.3332
b = 123.98

Slope is rise/run
It tells you the change in y-value for a unit change in x-value

Here 2.332 can be interpreted to mean that as x changes by +1 value, y changes by + 2.332

Choose the best answer.

Use the conditional statement to answer the question.
If an angle measures 43 degrees, then the angle is acute.

Choose the best answer.

The statement is false, but the inverse is true.

Both the statement and its inverse are false.

Both the statement and its inverse are true.

The statement is true, but the inverse is false.

Answers

Answer:

D

Step-by-step explanation:

Acute angle are angles less than 90°.And 43° is less than 90° and the inverse is not less than 90°.

The mass of an oxygen molecule is about 0.000000000000000000000053 g. What is it’s scientific notation?

Answers

Answer:

5.3 x 10^-23 g

Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?

19m=55.5 − 5

5m=19−55.5

m=55.5−19/5

55.5=19m+5

Answers

The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C.

m = (55.5 - 19)/5

How do we come up with the Equation?

We are to deduce from the question the equation that may be used to calculate, m, the average number of miles she would have to ride to reach her objective.

Given:

"Arianys wants to ride her bicycle 55.5 miles"

and

"She has already ridden 19 miles"

Hence,

The number of miles she needs to ride more is

55.5 miles - 19 miles

= 36.5 miles

'

If m is the average number of miles she must cycle in 5 days to reach her objective,

Then, we can write that  

m = 36.5/5

OR

m = (55.5 - 19)/5

As a result, the equation that may be used to get m is 5m = 55.5 - 19.

C. m = (55.5 - 19)/5 is the right answer.

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To two decimal places,
√70
must lie between ____
and _____.

Answers

To two decimal places,

√70

must lie between 8.3

and 8.4

if x² = √16 = x
true or false?​

Answers

Step-by-step explanation:

it is true

the square root of 16 is 4

f(x) = -3x² - 2x

how to find f (8)

Answers

Answer:

f(8) = -208

Step-by-step explanation:

Apply 8 into the equation

f(8) = -3(8)² - 2(8)

      = -192 - 16

      = -208

8 will be your x value since it's implied within the question itself.

Answer:

-208

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=-3x^2-2x[/tex]

To find f(8), substitute x = 8 into the function:

[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]

Therefore, f(8) = -208.

Find the area of the figure. (Sides meet at right angles.)
5 yd
4 yd
2 yd
2 yd
yd
2 yd
4 yd

Answers

Answer:

1,024yd

Step-by-step explanation:

a=a to the second,= 32(2)= 1,024

help pleaseeeeeeeeee its difficult I will slide brainiest

Answers

Answer: hope this help

step-step explanation:

A large industrial tank holds a maximum of 11,020 gallons of water. There is a drain on the bottom of the tank that allows 29 gallons per minute to drain out of the tank. Suppose the tank is full when the drain opened. How many gallons of water are left in the tank after one minute? Two minutes? Ten minutes? n minutes?

Answers

Volume of water in the tank after one minute is 10,991 gallons

Volume of water in the tank after two minutes is 10,962 gallons

Volume of water in the tank after one minute is 10,730 gallons

How to calculate the Flow rate?

The given parameters are;

The volume of water the large industrial tank holds, V = 11,020 gallons

The rate of flow out of the tank through the drain on the bottom; Q = 29 gallons per minute

The initial level of water in the tank if the tank is initially filled is; 11,020 gallons

We want to find out the amount of water in gallons left in the tank after one minute.

The volume, V_out, of water that flows out of the tank after a given time, t, is given as follows;

V_out = Q × t

When t = 1 minute, we have;

V_out = 29 * 1

V_out = 29 gallons

The volume of water left in the tank, V_in tank , is given as follows;

V_in tank = V - V_out

Thus, volume left after one minute is;

V_in tank = 11020 - 29

V_in tank = 10991 Gallons

Similarly, after 2 minutes;

When t = 2 minute, we have;

V_out = 29 * 2

V_out = 58 gallons

The volume of water left in the tank, V_in tank , is given as follows;

V_in tank = V - V_out

Thus, volume left after two minutes is;

V_in tank = 11020 - 58

V_in tank = 10672 Gallons

Similarly, after 10 minutes;

When t = 10 minute, we have;

V_out = 29 * 1 0

V_out = 290 gallons

The volume of water left in the tank, V_in tank , is given as follows;

V_in tank = V - V_out

Thus, volume left after ten minutes is;

V_in tank = 11020 - 290

V_in tank = 10933 Gallons

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What are the solutions to this linear system?

Answers

Building systems of equations, we have that:

a) The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

b) The system of equations is composed by the equations given below.

x + 9 + 4 = 15.7 + y + z = 15.t + 1 + w = 15.x + 7 + t = 15.9 + y + 1 = 15.4 + z + w = 15.x + y + w = 15.4 + y + t = 15.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item a, the variables are given as follows:

Variable x: Price of a cow.Variable y: Price of a sheep.Variable z: Price of a pig.

Considering that a sell is positive money and a buy negative, and the text, the equations are given as follows:

2x + 5y - 13z = 1000.3x - 9y + 3z = 0.-5x + 6y + 8z = -600.

Using a calculator, the solutions are given as follows:

x = 1200, y = 500, z = 300.

Hence:

The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

For item b, all missing values are variables, given by:

x, y, z, t and w.

From the sum of the rows:

x + 9 + 4 = 15.7 + y + z = 15.t + 1 + w = 15.

From the sum of the columns:

x + 7 + t = 15.9 + y + 1 = 15.4 + z + w = 15.

From the diagonals:

x + y + w = 15.4 + y + t = 15.

The system is composed by all these equations.

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Which did you include in your response?
The relation is a function if there is only one point of
intersection for any vertical line on the graph.
The relation is not a function if any vertical line has
more than one point of intersection on the graph.
The vertical line test is used to determine if one
input has exactly one output.

Answers

Use the vertical line test to determine whether a graph represents a function or not .

If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is a relation but not a function.

A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.

what is function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.

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If the tangent line to y = f(x) at (6, 4) passes through the point (0, 3), find f(6) and f'(6).
f(6) =
f'(6) =

Answers

Answers:

f(6) = 4

f ' (6) = 1/6

===========================================================

Explanation:

f(6) = 4 since the point (6,4) is on the f(x) curve. This is where the tangent is touching.

The tangent line also goes through (0,3)

Let's find the slope of the line through those two points.

[tex](x_1,y_1) = (6,4) \text{ and } (x_2,y_2) = (0,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{0 - 6}\\\\m = \frac{-1}{-6}\\\\m = \frac{1}{6}\\\\[/tex]

The slope of the tangent line is 1/6. This is the value of f ' (6) because the derivative measures the tangent at the given x value. It's useful to determine the instantaneous rate of change.

Graph the numbers -0.2, 7/10, -1, √2, and -4 on a number line.

-8 -7, -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

Answers

Answer:

Step-by-step explanation:

Grady's father is building a 15-meter fence with the start of the fence at coordinates(8, 5) and the midpoint of the fence at coordinates(3.5, -1) . What are the coordinates of the other end of the fence?

Answers

Based on the calculations, the coordinates of the other end of the fence are equal to (-1, -7).

What is a line segment?

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

How to determine the coordinates of the other end of the fence?

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3.5 = (8 + x₂)/2

Cross-multiplying, we have:

7 = 8 + x₂

x₂ = 7 - 8

x₂ = -1.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

-1 = (5 + y₂)/2

Cross-multiplying, we have:

-2 = 5 + y₂

y₂ = -2 - 5

y₂ = -7.

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A rectangle is 59.63 m2. If the length of the rectangle is 6.7 meters, shat is the width in meters?

Answers

Answer:

8.9

Step-by-step explanation:

When given the area of the rectangle to be 59.63m2.....AND the length to be 6.7m

To calculate the area of a rectangle = L×B

Width = Area ÷ Length

= 59.63m2 ÷ 6.7m

Width = 8.9m

Answer:

width = 8.9 meters

Step-by-step explanation:

Area of a rectangle = length * width

In this case:

Width = Area of a rectangle / length

Width = 59.63m² / 6.7m

Width = 8.9 m

find the x and y intercepts for y=-negative (2/5)x+3

Answers

Answer:

(0;3), (7.5;0).

Step-by-step explanation:

if the given equtaion is y=-0.4x+3, then

1) condition 'x-intercept' means y=0, then

-0.4x+3=0; ⇒ x=7.5;

2) condition 'y-intercept' means x=0, then

y=-0.4*0+3; ⇒ y=3.

3) finally,

x-intercept is x=7.5;

y-intercept is y=3.

Are these a function or not? Will give BRAINLEIST

Answers

Answer:

D:function, E:not a function

Step-by-step explanation:

We can figure this out using the line test. To do the line test you draw multiple straight, vertical lines along the graph, and if at any point the figure in question touches one of the lines multiple times, that figure is not a function.

:D

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