rabbit226 rabbit226
  • 18-03-2022
  • Mathematics
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What is the value of J, given that YZ I VX
9.1
9.2
9.3
9.4
9.6

What is the value of J given that YZ I VX 91 92 93 94 96 class=

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semsee45
semsee45 semsee45
  • 18-03-2022

Answer:

9.6

Step-by-step explanation:

As YZ is parallel to VX, then ΔWYZ ≅ ΔWVX

⇒ WX : WV = WZ : ZX

⇒ 5.6 : (5.6 + 8.4) : 6.4 : (6.4 + J)

[tex]\implies \dfrac{5.6}{5.6+8.4}=\dfrac{6.4}{6.4+J}x^{2}[/tex]

[tex]\implies 5.6(6.4 + J)=6.4 (5.6+8.4)[/tex]

[tex]\implies 35.84+5.6J=89.6[/tex]

[tex]\implies 5.6J=53.76[/tex]

[tex]\implies J=9.6[/tex]

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