Question

What is the value of J, given that YZ I VX
9.1
9.2
9.3
9.4
9.6

Answer 1

9.6

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)

`\implies (5.6)/(5.6+8.4)=(6.4)/(6.4+J)x^(2)`

`\implies 5.6(6.4 + J)=6.4 (5.6+8.4)`

`\implies 35.84+5.6J=89.6`

`\implies 5.6J=53.76`

`\implies J=9.6`