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Anvisha [2.4K]
2 years ago
10

The quadrilaterals JKLM and PQRS are similar.

Mathematics
1 answer:
Sveta_85 [38]2 years ago
8 0

Answer:

x = 2.8

Step-by-step explanation:

If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:

KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7

JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7

LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7

This shows that the ratio of KJ : QP = 5/7

KJ : QP = 2 : x = 2 / x

Therefore, \frac{2}{x}=\frac{5}{7}

cross multiply:  14 = 5x

Divide both sides by 5:  x = 2.8

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