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Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.

Quadrilateral LMNO is similar to quadrilateral PQRS Find the measure of side QR Round your answer to the nearest tenth if necessary class=

Respuesta :

Answer:  43.1

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Work Shown:

LM/PQ = MN/QR

13/56 = 10/x

13*x = 56*10

13x = 560

x = 560/13

x = 43.0769 approximately

x = 43.1

Segment QR is roughly 43.1 units long.

Answer:

QR = 43.1

Step-by-step explanation:

since they are similar use these ratios

NM/QR = LM/PQ

10/QR = 13/56

do cross multiplication

QR*13 = 56*10

QR = 560/13

QR = 43.07

QR = 43.1

therefore the measure of side QR is 43.1.