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TiliK225 [7]
4 years ago
5

PLEASE ASAP!!!! Parallelogram DEFG is transformed to parallelogram VSTU.

Mathematics
2 answers:
irakobra [83]4 years ago
5 0
A. is-the-answer.
aleksandrvk [35]4 years ago
4 0

Answer:

The correct option is option  a.

Step-by-step explanation:

It is given that parallelogram DEFG is transformed to parallelogram VSTU.

It means we have a parallelogram DEFG and after transformation we get VSTU.

Since the original figure is DEFG, therefore DEFG is preimage and VSTU is the image because it is the result of the transformation.

Therefore option a is correct, i.e., "Parallelogram DEFG is the pre-image because it is not the result of the transformation".

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What are the dimensions of a rectangle with a perimeter of 70 and a length to width ratio of 4 to 5?
nasty-shy [4]
Hello : 
let : x the length   and  y  the <span>width
the perimeter is : 2(x+y)
2(x+y) = 70  and : x/y =4/5
x+y = 35 ......(1)
x = (4/5)y ... (2)
subsct in : (1)
</span> (4/5)y +y = 35 
4y+5y = 175
9y = 175
y = 175/9
in (2) : x = (4/5)(175/9) = 140/9
4 0
3 years ago
Lee las situaciones y realiza lo siguiente con cada una:
Julli [10]

Answer:

Part 1) see the explanation

Part 2) see the explanation

Part 3) see the explanation

Part 4) see the explanation

Step-by-step explanation:

<u><em>The question in English is</em></u>

Read the situations and do the following with each one:

Write down the magnitudes involved

Write which magnitude is the independent variable and which is the dependent variable

It represents the function that describes the situation

SITUATIONS:

1) A machine prints 840 pages every 30 minutes.

2) An elevator takes 6 seconds to go up two floors.

3) A company rents a car at S/ 480 for 12 days.

4) 10 kilograms of papaya cost S/ 35

Part 1) we have

A machine prints 840 pages every 30 minutes

Let

x ----> the time in minutes (represent the variable independent or input value)

y ---> the number of pages that the machine print (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=840\ pages\\x=30\ minutes

substitute

 k=\frac{840}{30}=28\ pages/minute

The linear equation is

y=28x

Part 2) we have

An elevator takes 6 seconds to go up two floors.

Let

x ----> the time in seconds (represent the variable independent or input value)

y ---> the number of floors (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=2\ floors\\x=6\ seconds

substitute

 k=\frac{2}{6}=\frac{1}{3}\ floors/second

The linear equation is

y=\frac{1}{3}x

Part 3) we have

A company rents a car at S/ 480 for 12 days.

Let

x ----> the number of days (represent the variable independent or input value)

y ---> the cost of rent a car (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=\$480\\x=12\ days

substitute

 k=\frac{480}{12}=\$40\ per\ day

The linear equation is

y=40x

Part 4) we have

10 kilograms of papaya cost S/ 35

Let

x ----> the kilograms of papaya (represent the variable independent or input value)

y ---> the cost  (represent the dependent variable or output value)

Remember that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem

we have a a proportional variation

so

The value of the constant of proportionality is equal to

 k=\frac{y}{x}

we have

y=\$35\\x=10\ kg

substitute

 k=\frac{35}{10}=\$3.5\ per\ kg

The linear equation is

y=3.5x

6 0
3 years ago
What is the first step when constructing an angle bisector using only a compass and a straightedge
zloy xaker [14]

Step 1 is, "draw arcs through both legs of the angle, centered at the vertex of the angle."

_____

The arcs crossing the two legs have the same radius. One arc crossing both legs can be used, if you like.

3 0
3 years ago
Read 2 more answers
Onnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Elden [556K]

Answer:

Um what was the question?

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3.
Reil [10]

<u>Answer:</u>

x = 5.00 cm

<u>Step-by-step explanation:</u>

• area of the rectangle = x   x   (x + 1)

                                     = x^2 + x

• area of the circle = π r²

                               = \frac{22}{7}   x   (x + 2)^2

                               = \frac{22}{7}   x   (x^2 + 4x + 4)

∴   x^2 + x   +    \frac{22}{7}   x   (x^2 + 4x + 4)  = 184  

⇒  x^2 + x      +   \frac{22}{7}  x^2   \space\ + \space\ \frac{88}{7} x \space\  +  \space\  \frac{88}{7} = 184

⇒  \frac{29}{7}x^2 \space\  +  \space\  \frac{95}{7}x \space\ - \frac{1200}{7} = 0

• Using quadratic formula, where

a = \frac{29}{7}

b = \frac{95}{7}

c = \frac{-1200}{7} ,

x=\frac{-b \pm \sqrt{b^2-4c}}{2}

x = \frac{-\frac{95}{7}\pm \sqrt{(\frac{95}{7})^2 - 4(\frac{29}{7})(\frac{-1200}{7} )  }  }{2(\frac{29}{7})}

x = 5.00   \space\   \space\ \space\ or  \space\ \space\ \space\   x = -8.28

As length (x) cannot be a negative number,

x = 5.00 cm

7 0
2 years ago
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