Answer:
x = 4.5
Step-by-step explanation:
Given the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{18}{x}[/tex] = [tex]\frac{8}{2}[/tex] ( cross- multiply )
8x = 36 ( divide both sides by 8 )
x = 4.5
The value of x is 4.5 if the figures are similar and the ratio of the corresponding sides will be equal.
It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have two rectangular figures shown in the figure.
As the figures are similar.
Then the ratio of the corresponding sides will be equal:
18/x = 8/2
x = 18/4
x = 4.5
Thus, the value of x is 4.5 if the figures are similar and the ratio of the corresponding sides will be equal.
Learn more about the similarity law here:
brainly.com/question/8045819
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