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Ugo [173]
4 years ago
11

Parallelogram FGHJ was dilated and translated to form

Mathematics
2 answers:
Veronika [31]4 years ago
8 0

Answer:

4 on edge

Step-by-step explanation:

Mrrafil [7]4 years ago
3 0

Answer:  The required scale factor of the dilation is 4.  

Step-by-step explanation:  Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

We are to find the scale factor of the dilation.

From the graph, we note that

JH = 2 units   and   J'H' = 8 units.

We know that

\textup{Scale factor of dilation}=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the correponding side of the original figure}}.

Therefore, the scale factor of the given dilation is

S=\dfrac{J'H'}{JH}\\\\\\\Rightarrow S=\dfrac{8}{2}\\\\\Rightarrow S=4.

Thus, the required scale factor of the dilation is 4.  

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Explain why a rotation of 90 degrees around any point zero never maps a line to a line parallel to itself
Elis [28]

Answer:

Since zero is on the origin (0,0) a 90 degree rotation will intercept the origin no matter what so, it can't be parallel.

Step-by-step explanation:

8 0
3 years ago
Please help me Find X
solmaris [256]

The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.

In this case, the angle is subtended by an arc measuring 180°. So

(4x + 6)° = 1/2 • 180°

4x + 6 = 90

4x = 84

x = 21

7 0
2 years ago
In April, The Kazbaas drove 760 miles in their tour van.
DedPeter [7]

9514 1404 393

Answer:

  £135.98

Step-by-step explanation:

  (760\text{ mi})\dfrac{1\text{ gal}}{29.5\text{ mi}}\cdot\dfrac{4.55\text{ L}}{1\text{ gal}}\cdot\dfrac{\pounds1.16}{1\text{ L}}=\dfrac{760\cdot4.55\cdot\pounds1.16}{29.5}\\\\=\boxed{\pounds135.98}

It cost £135.98 for petrol in April.

5 0
3 years ago
What is the input-output table for the function f(x) = 3x^2-x+4
mojhsa [17]

Answer:

Step-by-step explanation:

The input-output table can be made by putting value of x and finding the value of f(x)

f(x) = 3x^2-x+4

f(0) = 3(0)^2-0+4 = 0-0+4 = 4

f(1) = 3(1)^2-1+4 = 3-1+4 = 2+4 =6

f(2) = 3(2)^2-2+4 = 3(4)-2+4 = 12-2+4 = 10+4 = 14

f(3) = 3(3)^2-3+4 = 3(9)-3+4 = 27-3+4 = 24+4 = 28

So put value of x and find f(x) and fill the input-output table.

x  f(x)

0   4

1    6

2   14

3    28

3 0
3 years ago
There are 3 Parts. Make sure to answer all 3 Parts. Read the problem and write your
Kryger [21]

Answer:

The answer is below

Step-by-step explanation:

The equation of a linear function is given as:

y = mx + b;

where y, x are variables, m is the rate of change and b is the initial value of variable y.

A) Since there is B bacteria in the Petri dish at 12:00 midnight and the number of bacteria increases after midnight by 25 every hour. Let h represent the time in hours and T represent the total number of bacteria, therefore the equation is:

T = 25h + B

B) Given that B = 5, h = 6, hence:

T = 25(6) + 5 = 150 + 5 = 155 bacteria

C) The equation of the graph is:

T = 25h + 5

The graph was plotted using geogebra online graphing.

6 0
3 years ago
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