VannahLovesGod VannahLovesGod
  • 08-05-2019
  • Mathematics
contestada

What is the value of x, given that OP II NQ?
A. x = 7
B. x = 9
C. x = 12
D. x = 24

What is the value of x given that OP II NQ A x 7 B x 9 C x 12 D x 24 class=

Respuesta :

calculista
calculista calculista
  • 18-05-2019

Answer:

Option C. x = 12

Step-by-step explanation:

we have that

Traingles MOP and MNQ are similar

therefore

The ratio of its corresponding sides is proportional

[tex]\frac{MO}{MN}=\frac{MP}{MQ}[/tex]

substitute the values

[tex]\frac{21+7}{21}=\frac{36+x}{36}[/tex]

[tex]28*36=21*(36+x)\\ \\1,008=756+21x\\ \\21x=252\\ \\x=12\ units[/tex]

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