The two prisms below are similar. What is the value of x?
A. 30
B. 1
C. 9
D. 3
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Answer:
D. 3
Step-by-step explanation:
If the prisms are said to the similar, that means that the ratio/relation between their corresponding sides have to equal, so
[tex]\frac{x}{1} = \frac{9}{3} = \frac{30}{10}[/tex]
We can easily use the part x/1 = 9/3 to make a cross-multiplication that would give us:
x = (1 * 9) / 3 = 9/3 = 3
So, the green prism is a dilated version of the blue one by a dilation/scale factor of 3.