Answer:
[tex]x[/tex] = 2.8
Step-by-step explanation:
If the quadrilaterals are similar, then the ratios of corresponding sides will be equal:
KL : QR = 4 : 5.6 = 4 / 5.6 = 5/7
JM : PS = 7 : 9.8 = 7 / 9.8 = 5/7
LM : RS = 3 : 4.2 = 3 / 4.2 = 5/7
This shows that the ratio of KJ : QP = 5/7
KJ : QP = 2 : [tex]x[/tex] = 2 / [tex]x[/tex]
Therefore, [tex]\frac{2}{x}=\frac{5}{7}[/tex]
cross multiply: 14 = 5[tex]x[/tex]
Divide both sides by 5: [tex]x[/tex] = 2.8
