Answer:
[tex]\large Q1:\ x=18\ ft\\\\Q2:\ 6\ inches[/tex]
Step-by-step explanation:
Q3.
If ΔGHI and ΔJKL are similar, then the sides are in proportion:
[tex]\dfrac{JL}{GI}=\dfrac{LK}{IH}[/tex]
We have
JL = x, GI = 9 ft, LK = 24 ft, IH = 12 ft.
Substitute:
[tex]\dfrac{x}{9}=\dfrac{24}{12}[/tex]
[tex]\dfrac{x}{9}=2[/tex] multiply both sides by 2
[tex]x=18\ ft[/tex]
Q4.
We must multiply the original length by a scale factor of 3/4:
[tex]\dfrac{3}{4}\cdot8\ in=\dfrac{3}{1}\cdot2\ in=(3)(2)\ in=6\ in[/tex]
