Question

Figure AAA is a scale image of figure BBB.

Figure AAA maps to figure BBB with a scale factor of 0.80.80, point, 8.
What is the value of xxx?

Answer 1

Answer:

4

Step-by-step explanation:

It was correct on Khan academy so...

Answer 2

Scale image is the resize image of an image.The value of x for the given problem is 20.

Given-

Fig AAA is a scale image of the another figure BBB.

Fig AAA maps to figure BBB with a scale factor of 0.80.

• Scale image- Scale image is the resize image of an image. This resized image either larger than the original image or smaller than the original image. This definition of scale image clarify that both the image AAA and BBB has the same shape.Hence, figures are similar.

As fig AAA maps to the fig BBB with a scale factor of 0.80. Thus corresponding sides of the fig AAA  is 0.80 times the corresponding sides of fig BBB.

Therefore, the ratio r of the corresponding sides of the Fig AAA and Fig BBB is,

$r=\dfrac{1}{0.80}$

$r=\dfrac{1}{\dfrac{4}{5} }$

$r=\dfrac{5}{4}$

The value of x is,

$\dfrac{x}{16} =\dfrac{5}{4}$

$x =\dfrac{5}{4}\times16$

$x=20$

Hence, The value of x for the given problem is 20.

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