avaelisabeth06 avaelisabeth06
  • 28-02-2022
  • Mathematics
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HELPPPP
What is the value of x for this question? show work pls im confused

HELPPPP What is the value of x for this question show work pls im confused class=

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devishri1977
devishri1977 devishri1977
  • 28-02-2022

Answer:

Step-by-step explanation:

In similar polygons, corresponding sides are in same proportion

[tex]\dfrac{GK}{VR}=\dfrac{KN}{RP}\\\\\\\dfrac{14.7}{6.3}=\dfrac{x+1}{4x-3}\\\\\dfrac{0.7*10}0.3*10}=\dfrac{x+1}{4x-3}\\\\\dfrac{7}{3}=\dfrac{x+1}{4x-3}[/tex]

Cross multiply

7*(4x-3)=3*(x+1)

28x - 21 = 3x + 3

28x - 3x - 21 = 3

25x = 3 + 21

25x = 24

x = 24/25

x = 0.96

Scale factor = 7 : 3

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