NatesGaming1518 NatesGaming1518
  • 04-03-2020
  • Mathematics
contestada

If |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units, determine |PQ|. Round your answer to the tenths place, if necessary.

Respuesta :

erinna erinna
  • 07-03-2020

Answer:

9.4 units.

Step-by-step explanation:

Given information: |OQ| = 9.4 units, |OQ’| = 17.1 units, and |P’Q’| = 17.1 units.

Dilated figure is similar to the original figure. It means the corresponding sides are proportional.

[tex]\dfrac{|OQ|}{|OQ'|}=\dfrac{|PQ|}{|P'Q'|}[/tex]

Substitute the given values.

[tex]\dfrac{9.4}{17.1}=\dfrac{|PQ|}{17.1}[/tex]

Multiply both sides by 17.1.

[tex]\dfrac{9.4}{17.1}\times 17.1=\dfrac{|PQ|}{17.1}\times 17.1[/tex]

[tex]9.4=|PQ|[/tex]

Hence, the measure of |PQ| is 9.4 units.

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