The value of the x is 9.75 if the two right triangles are similar option (B) is correct.
What is the similarity law for triangles?
It is defined as the law to prove that the two triangles 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.
As we can see in the picture there are two right-angle triangles shown.
cosB = 12/13
cosE = 9/x
Both angles will be the same:
12/13 = 9/x
x = 9.75
Thus, the value of the x is 9.75 if the two right triangles are a similar option (B) is correct.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
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