The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K
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Answer:
x = 30
Step-by-step explanation:
12 : 20 = 18 : x
⇒ 12/20 = 18/x
⇒ 12x = 18 · 20
⇒ 12x = 360
⇒ x = 360 ÷ 12
⇒ x = 30
[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{14}{20}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{7}{10}[/tex]
[tex]\\ \rm\Rrightarrow 7x=210[/tex]
[tex]\\ \rm\Rrightarrow x=30[/tex]