starz12 starz12
  • 16-06-2021
  • Mathematics
contestada

pls help me solve for length XY pls show how you got the answer

pls help me solve for length XY pls show how you got the answer class=

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jimrgrant1 jimrgrant1
  • 16-06-2021

Answer:

XY = 4.75 cm

Step-by-step explanation:

Δ VXY and Δ VWZ are similar so the ratios of corresponding sides are equal, that is

[tex]\frac{XY}{WZ}[/tex] = [tex]\frac{VX}{VW}[/tex] , substitute values

[tex]\frac{XY}{2.5}[/tex] = [tex]\frac{4.5+5}{5}[/tex] = [tex]\frac{9.5}{5}[/tex] ( cross- multiply )

5 XY = 23.75 ( divide both sides by 5 )

XY = 4.75 cm

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