Question

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

Answer 1

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)

$\implies \dfrac{5.6}{5.6+8.4}=\dfrac{6.4}{6.4+J}x^{2}$

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

$\implies 35.84+5.6J=89.6$

$\implies 5.6J=53.76$

$\implies J=9.6$