robert7248
robert7248 robert7248
  • 12-05-2019
  • Mathematics
contestada

The two prisms below are similar. What is the value of x?

A. 30
B. 1
C. 9
D. 3

The two prisms below are similar What is the value of x A 30 B 1 C 9 D 3 class=

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sylvain96
sylvain96 sylvain96
  • 12-05-2019

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.

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