Helena was curious if quadrilaterals QRSTQRSTQ, R, S, T and XYZWXYZWX, Y, Z, W were congruent, so she tried to map one figure onto the other using transformations:

Answers

Answer 1

Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.

Given,

Two quadrilaterals = QRST and XYZW

Helena came to the right conclusion because the transition of quadrilaterals is accurately depicted.

How should the facts be explained?

According to the information provided, Helena was interested to know whether the quadrilaterals were congruent.

The quadrilaterals in this instance cannot be mapped into one another via a series of stiff transformations, hence they are not congruent.

As a result, no mistakes are made.

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Related Questions

Darlene has 634 gallons of gasoline. Every time she mows her lawn, she uses 38 gallon. How many times can she mow her lawn before she needs more gas?

Answers

Answer: 16 times

Step-by-step explanation:

So in this situation, an equation helps!

634 = 38x

Where 634 is the number of gallons of gas she has; 38x is how much she needs to mow her lawn each time.

Now simply divide!

If we round we get x= 16.68 however this is not the correct answer because you can't mow 68/100 of a lawn! So even though 0.68 is greater than 0.5, we would round down to 16.

Write as a monomial in standard form.

Answers

The expression will be written in monomial standard form as -64x⁶a³.

A monomial may be defined as an expression which consists of only one term. If we are to write an expression in monomial standard form, then we will have to form an expression consisting of numbers and variable along with their powers. The variable containing the maximum power will be written first and so on. In the question we have to write monomial standard form of third power of (-4ax³). This can be written as

(-4ax³)³ and on further expanding

-64a³x⁶, but in standard from we write the variable having maximum power first, so we rearrange the terms, and we get

-64x⁶a³ which is the required answer.

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How do u distributive property to find the product 27x34=27x(30+4)

Answers

The distributive property for the product of 27x34 will give a value of 918.

What is distributive property?

It should be noted that distributive property simply means that one can distribute the contents of the parentheses into the other so that one can get the answer.

The distributive property is illustrated as:

a × (b + c) = a×b + a×c

In this case, using distributive property to find the product 27x34 will be:

=27x(30+4)

= 27 × 30 + 27 × 4

= 810 + 108

= 918

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2(8-2x)+2(4-2x)=18 what is x?

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer: x = 3/4

Step-by-step explanation:

2(8 - 2x) + 2(4 - 2x) = 18

2(-2 x 8) + 2(4 - 2x) = 18

-4x + 16 + 2(4 - 2x) = 18

-4x + 16 + 2(2x + 4) = 18

-4x + 16 - 4x + 8 = 18

-4x + 24 - 4x = 18

-8x + 24 = 18

-8x + 24 - 24 = 18 - 24

-8x = -6

-8x/-8 = -6/-8

x = 3/4

Shay, Jeremy, and Briana dive into a deep lake. Shay dives to a depth of - 2 ¾ meters from the surface of the lake. Jeremy’s depth is 0.50 meters deeper than Shay’s dive. Briana’s depth is ⅘ the depth of Jeremy’s dive. What is Briana’s depth?

0.40 meters
























For a science experiment, Shanice recorded the temperature outside for five days. On the first day, the temperature was 4.5˚C. The next day, the temperature dropped 3 degrees. Following that, the temperature increased by 1.9 degrees, then dropped by 4.2 degrees, and finally dropped by 3.4 degrees again.

What was the average change in temperature? Show your thinking.
























Over the past 3 ½ years, the water level in a water tank has decreased by 0.6 feet per year. If the water level is 11.4 feet today, what was the water level 3 ½ years ago? Show your thinking.






















Compute.

15623= 11/6 x 3/2=11/2x1/2= 2 3/4















In December the temperature before sunrise was -5℉. The temperature then rose an average of ¼ degree each hour for 4 hours before dropping an average of 1 ¾ degrees each hour for 3 hours. What was the temperature, in degrees Fahrenheit, after 7 hours?













6a. What is 314+56 ?







6b. Compute. 412123






6c. Compute. 124

18
16
2
8

Answers

Answer:

shay is at a 0.50 meters and Jeremy is not

Step-by-step explanation:

i need help show your work

Answers

Answer:

C 11

Step-by-step explanation:

1.work out the value of x from the given equation

[tex]5x = 10 - 6[/tex]

[tex]5x = 4[/tex]

[tex]x = \frac{4}{5} [/tex]

2. use this x value and substitute it into the other equation to determine your answer

[tex]10( \frac{4}{5} ) + 3[/tex]

[tex]answer = 11[/tex]

After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share?

Answers

Answer:

$540 is the original price of the share.

Step-by-step explanation:

Original price = ​final price ÷ (1 - percentage (in decimal form))

Original price = $324 ÷ (1 - 0.40)

Original price = $324 ÷ 0.6

Original price = $540

Multiply.
Enter your answer by
filling in the boxes.
7× ³/4=

Answers

Answer:

The answer is 5.25

Trust me it is right,

7 x 3/4= 5.25

Step-by-step explanation:

Good Luck!

The answer will be 5.25

Yüz milyon bir nasıl yazılıyor​

Answers

Answer:

100,000,001

I hope this helps, have a great day/night!

How can you use a number line to represent the subtraction between two integers?

Answers

Answer:

down below

Step-by-step explanation:

You can use a number line to show the subtraction between two integers by plotting the first night number and then move backwards, (left) however many spaces you are subtracting by. It is a visual representation of subtraction.

Hope this helps! :)

Write an equation in standard form for the line that passes through the given points
(7,0) and (0, -4)

Answers

Answer:

y = 0.57143x - 4

Step-by-step explanation:

Find the Area of the irregular polygon

Answers

Answer: 242 square ft

Step-by-step explanation:

Divide the polygon into 2 pieces so you have 2 rectangles. Then find the area of both rectangles.

THERE IS 5 QUESTIONS I NEED TO GET DONE IN TOTAL, BUT IT WONT LET ME PUT MANY PICS IN ONE QUESTION SO PLS GO TO MY ACC AND VIEW THE OTHER ONES!!I NEED THIS BY **TODAY**

(TY WHOEVER COMPLETES THESE <3333 )​

Answers

Answer:

A. yes the y-intercept is 2

B. the graph is a straight line

C. The Slope of the Line is 1/2

D. The line Does Not pass through the origin

Step-by-step explanation:

A. the y-intercept is when x=0... y=([tex]\frac{-1}{2}[/tex]*0)+2

B. It is a straight line because x is raised to the 1st power and not another number

C. Although the slope of the equation is [tex]\frac{-1}{2}[/tex]... the slope is still 1/2

D. The line Does Not pass through the origin

origin= (0,0)

x=0 --> y=([tex]\frac{-1}{2}[/tex]*0)+2=

y=0---> 0=([tex]\frac{-1}{2}[/tex]*x)+2

[tex]\frac{-x}{2}[/tex]=2---> x=-4

Answer:

The first two statements are true.

Click "The y-intercept of the line is 2" and "The graph is a straight line"

Step-by-step explanation:

The most important thing to know for this question is the equation of a line, y=mx+c, where m is the slope of the line and c is the y-intercept (where the lines crosses the y-axis).

Our formula is y= - [tex]\frac{1}{2}[/tex]x+2, which means the y-intercept is 2. Therefore, the first statement is true.

The equation follows the general equation for a straight line, so the second statement is true.

Our formula is y= - [tex]\frac{1}{2}[/tex]x+2, which means the slope is -  [tex]\frac{1}{2}[/tex], not  [tex]\frac{1}{2}[/tex]. Therefore, the third statement is not true.

For a line to pass through the origin (0,0), it's y-intercept must be 0, but we already know the y-intercept here is 2. Therefore, the fourth statement is not true.

To see if the line passes through (0, -2), we must sub these values into the equation and see if it makes sense

y= - [tex]\frac{1}{2}[/tex]x+2?

-2=- [tex]\frac{1}{2}[/tex](0)+2?

-2 = 2? This is not true, so the last statement is also not true.

What is transitive property/

Answers

If two quantities are equal to the third quantity, then we can say all the quantities equal to each other

professor jones is interested in the effects of eating chocolate on test performance. he randomly assigns students to either an experimental group or a control group. he gives chocolate to the students in the experimental group and nothing to the students in the control group prior to passing out the exam. after scoring all the tests, he found that the students in the experimental group scored on average ten points higher than the students in the control group. in this experiment what is the independent variable?

Answers

In the given experiment x is the independent variable.

Given that, professor Jones found that the students in the experimental group scored on average 10 points higher than the students in the control group.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the average score of control group be x and the average score of experimental group be y.

Now, y=x+10

Therefore, in the given experiment x is the independent variable.

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Jared is trying to save up to buy a car. He has already saved
$400. He makes $20 an hour (h) at his job. Jared needs to
have $1200 or more in order to buy the car he wants.
Write an inequality to represent the number of hours Jared
will have to work in order to save enough money to buy the
car.
Select one:
O 20h + 1200 ≤ 400
O 1200h + 400 > 20
O 400h+20 > 1200
O 20h-400 ≥ 1200
O 20h + 400 > 1200
O 400h+20 > 1200

Answers

Answer:

20h+400>=1200

Step-by-step explanation:

400 is the money Jared already has

20 is what he earns per hour

h is how many hours he works

1200 is the total he needs to buy the car

Answer:

the answer is 20h+400>1200

a printer cartridge with 3 2/3 millilters of ink will print off 2/4 of a box of paper. How many millilters of ink will it take to print an entire box

Answers

2/4 box of paper = 1/2 box of paper

3 2/3 mL / 1/2 box of paper = x mL / 1 box paper
Solve for x.

x = 7 1/3 milliliters of ink

Simplify fully 2(m+11)/10m

Answers

On simplifying the given equation, the result would be: 1/5 + 11/5m

How to simplify expressions?

The technique of writing an algebraic expression in the most effective and compact form without altering the original expression's value is known as simplification.

The procedure involves gathering related phrases, which calls for adding or removing terms from an expression.

Let's review a few key words that are utilized while simplifying an expression:

In an algebraic expression, a variable is a letter whose value is unknowable.

A numerical value used in conjunction with a variable is the coefficient.

A phrase with a known value is referred to as a constant.

Similar letter and power variables are referred to as like words. Sometimes various coefficients might be found between like terms. For instance, the phrases 6x2 and 5x2 are comparable because they both have variables with exponents of 2. Similar to this, 7yx and 5xz are dissimilar concepts because they each have unique variables.

The fundamental guidelines and procedures to simplify any algebraic statement are as follows:

-By multiplying factors, remove any grouping symbols like brackets and parenthesis.

-If the terms contain exponents, use the exponent rule to eliminate grouping.

-Add or subtract like terms to combine them.

Add the constants together.

As per the question:

2(m+11)/10m =(m+11)/5m

                    =1/5 + 11/5m

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Find the volume of the cone. Round your answer to the nearest tenth. Use 3.14 for it.13 cm16 cmThe volume is aboutcm3

Answers

we know that

the volume of the cone is equal to

[tex]V=\frac{1}{3}\cdot\pi^{}\cdot r^2\cdot h[/tex]

we have

pi=3.14

r=13 cm

h=16 cm

substitute

[tex]\begin{gathered} v=\frac{1}{3}\cdot3.14\cdot(13^2)\cdot16 \\ v=2,830.2\text{ cm\textasciicircum{}3} \end{gathered}[/tex]Volume is about 2,830.2 cubic centimeters

the product of two positive consecutive integers is 132. find the integers

Answers

The two positive consecutive integers with product of  132 are 11 and 12

How to determine the integers?

From the question, the statement is given as

the product of two positive consecutive integers is 132.

Represent the consecutive integers with x and y

Where y = x + 1

So, we have

the product of x and y is 132.

Mathematically, this can be represented as

x * y = 132

Substitute y = x + 1 in x * y = 132

x * (x + 1) = 132

Express 132 as 11 * 12

x * (x + 1) = 11 * 12

This means that

x =11

Substitute x =11 in y = x + 1

y = 11 + 1

Evaluate

y = 12

Hence, the integers are 11 and 12

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Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft.
a. What value can be used to represent the water's surface?

Answers

27 ft. can be used to represent the water's surface if the platform is 15 ft. above the pool surface and the pool has a depth of 12 ft.

As Sadie stands on a platform that is 15 ft. above the pool surface. The pool has a depth of 12 ft. then, and the total height of the water surface is, the total hight,

The total height = distance between pool surface to platform + the depth of the pool

∵ The total height =  15 ft. + 12 ft.= 27 ft.

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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42

Answers

The solution of the equation ( x - 7 ) × 2 = 36  is x = 25

The equation is

( x - 7 ) × 2 = 36

To solve this equation we have to rearrange the terms and do the arithmetic operations

The arithmetic operation is a branch of mathematics. The basic arithmetic operations are addition, subtraction, division and multiplication.

Move the 2 to the right hand side of the equation

x - 7 = 36 / 2

Divide the term

x - 7 = 18

Move the 7 to the right hand side of the equation

x = 18 + 7

Add the term

x = 25

Hence, the solution of the equation ( x - 7 ) × 2 = 36  is x = 25

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what is the domain of f?

Answers

Answer:

x ∈ {-8, 0, 2, 4, 7}

Step-by-step explanation:

The domain is the set of x-coordinates.

The domain of the function f(x) is:

x ∈ {-8, 0, 2, 4, 7}

If a $500 deposit earns 4.25% interest compounded monthly, how much will be in the account at the end of 3 years? round your answer to the nearest cent.

Answers

Based on the amount invested, and the interest, the amount after 3 years would be $567.86

The interest is compounded monthly  so you must convert it to a monthly rate:

= 4.25% / 12 months

= 4.25/12%

Number of periods:

= 3 years x 12 months

= 36 months

The future value of this amount is:

= Amount x ( 1 + rate) ^ number of periods

= 500 x ( 1 + 4.25/12%)³⁶

= $567.86

In conclusion, the amount would be $567.86

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10. The cost of one movie ticket for an adult is 1.6 times the cost of a ticket for a child. If a equals the cost of one adult ticket and c equals the cost of one child ticket, which equation represents the relationship between a and c? A. c= 1.62B. 1.6 =a -cC. a = 1.6cD 1.6 =a + c

Answers

1) Gathering the data

a =adult ticket

c= 1 child ticket

2) According to the question, we can write:

a=1.6c

Note that the ticket for the adults is more expensive than for kids. So we can state this about both prices of tickets

a =1.6c

What is the equation of the line that passes through the point (-2, -2) and has
slope of 3?

Answers

It would be exactly y= 3x-2

write a recursive formula:
7, 10, 13, 16
write an explicit formula:
-8, -13, -18, -23

Answers

The recursive formula of the sequence 7, 10, 13, 16 is [tex]a_n = a_{n-1} + 3[/tex].

The explicit formula of the sequence -8, -13, -18, -23 is a(n) = -8 + (n-1)(-5).

What is recursive formula?

A recursive formula is one that defines each term in a sequence by reference to the one before it (s). The following parameters are defined using the recursive formulas:

The opening phrase of the seriesThe formula to calculate any phrase from its previous term

In order to find the recursive formula we first need to calculate the difference between each term. So,

Second term - First term = 10 - 7 = 3

Therefore the recursive formula is [tex]a_n = a_{n-1} + 3[/tex]

In order to find the explicit formula we first need to calculate the difference between each term. So,

Second term - First term = -13 - (-8) = -5

Therefore the explicit formula is  a(n) = -8 + (n-1)(-5).

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Plsss help asap plssss

Answers

Answer:

D)

Step-by-step explanation:

Alternate interior angles: Alternate interior angles are formed inside the two parallel lines, when intersected by transversal and are equal to its alternate pairs.

AB // CD, BC is transversal

∠2 = ∠4   {Alternate interior angles}

∠2 = 35

Your distance from lightning varies directly with
the time it takes you to hear thunder. If you
hear thunder 10 seconds after you see lightning,
you are about 2 miles from the lightning.
Estimate how many seconds it would take for
the thunder to travel a distance of 5 miles.?

Answers

The time taken by thunder to travel a distance of 5 miles is 25 seconds.

Which is the direct variation?A direct variation, as well known as a direct proportion, is a relationship that exists between two variables.Your distance from lightning differs directly with duration it takes you to hear thunder. If you hear thunder 10 seconds upon seeing lightning, you are approximately 2 miles away.

Let d denote the distance and t the time.

Distance varies linearly with time, implying that distance is proportional to time.

Distance ∝ Time

d ∝ t

When the proportionality symbol is removed;

d = kt or k = d/t

Where k is the constant of proportionality.

In the equation, d = 2 and t = 10 are substituted.

k = 2/10 = 1/5

Therefore,

The following is a direct variation formula for the correlation between time and distance: d = (1/5)t

Now, for the distance of 5 miles, the time taken by the thunder is-

5 = (1/5)t

t = 5 × 5

t = 25 seconds.

Thus, the time taken by thunder to travel a distance of 5 miles is 25 seconds.

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Diego bought some raisins and walnuts to make trailmix. Raisins cost $4 a pound and walnuts cost $8 apound.Diego spent $24 on both ingredients. Diego bought atotal of 5 pounds of raisins and walnuts combined.There are two constraints represented here (COST &WEIGHT).Write an equation for each constraint. This shouldcreate a system of linear equations.Let x = pounds of raisinsy = pounds of walnuts

Answers

Let x = pounds of raisins

Let y = pounds of walnuts

The first linear equation for the system is representing COST

[tex]\text{ \$4x + \$8y = \$24}[/tex]

The second linear equation for the system is representing WEIGHT

[tex]x\text{ + y = 5}[/tex]

Hence the two-equation for each constraint are

[tex]\begin{gathered} \text{\$4x + \$8y = \$24} \\ x\text{ + y = 5} \\ \end{gathered}[/tex]

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