styler1914 styler1914
  • 18-09-2022
  • Mathematics
contestada

The quadrilaterals ABCD and JKLM are similar.
Find the length x of MJ.

The quadrilaterals ABCD and JKLM are similar Find the length x of MJ class=

Respuesta :

jimrgrant1 jimrgrant1
  • 18-09-2022

Answer:

x = 4.8

Step-by-step explanation:

since the quadrilaterals are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{MJ}{DA}[/tex] = [tex]\frac{LM}{CD}[/tex] ( substitute values )

[tex]\frac{x}{6}[/tex] = [tex]\frac{2.4}{3}[/tex] ( cross- multiply )

3x = 6 × 2.4 = 14.4 ( divide both sides by 3 )

x = 4.8

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