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3 years ago

Parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.

Mathematics

2 answers:

azamat3 years ago

6 0

we know that

The scale factor is equal to

$Scale\ Factor=\frac{F'G'}{FG}$

we have

$F'G'=8\ units\\FG=2\ units$

substitute

$Scale\ Factor=\frac{8}{2}$

$Scale\ Factor=4$

therefore

<u>the answer is</u>

$4$

aalyn [17]3 years ago

5 0

Answer: 4

Step-by-step explanation:

From the given picture, To find scale factor between figures, find two corresponding sides and write the ratio of the two sides.

The value of y is same through the distance of F to G.

So, FG= change in x coordinates

FG= $|-2-(-4)|=|-2|=2$ units

Similarly , F'G'= $|3-(-5)|=|8|=8$ units

Let k be the scale factor of the dilation.

The scale factor of the dilation is given by :-

$k=\frac{F'G'}{FG}\\\Rightarrow\ k=\frac{8}{2}=4$

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Step-by-step explanation:

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$\text{Total surface area of cuboid}=2(lb+bh+hl)$ , where,

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$\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)$

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$\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}$

$\text{ Length of canvass}=14220\text{ cm}$

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

$\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}$

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$\text{ Length of canvass}=142.20\text{ m}$

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