s244710
s244710 s244710
  • 07-03-2022
  • Mathematics
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Rectangle ABCD ~ Rectangle WXYZ. Find the missing measurement

Rectangle ABCD Rectangle WXYZ Find the missing measurement class=

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Аноним Аноним
  • 07-03-2022

Answer:  14

Step-by-step explanation:

Since they are similar, that means their side lengths are proportional.

Therefore, [tex]\frac{WX}{AB} = \frac{WZ}{AD}[/tex].

We can plug in the values we know:

Let x be the missing measurement.

[tex]\frac{16}{24} =\frac{x}{21}[/tex]

We can simplify 16/24 to 2/3.

2/3 = x/21.

We can cross multiply:

42 = 3x

Therefore, x = 14

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