Answer:
The common difference (or common ratio) = 0.75
Step-by-step explanation:
i) let the first term be 
= 80
ii) let the second term be 
= . r = 80 × r = 60 ∴ r = 
= 0.75
iii) let the third term be 
= . r = 60 × r = 45 ∴ r = 
= 0.75
iv) let the fourth term be 
= . r = 45 × r = 33.75 ∴ r = 
= 0.75
Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.
7. (6/8)
8. (2/10)
10. (4/12)
11. (4/8)
13. (10/12)
14. (6/12)
16. (9/12)
17. (5/10)
Angle b = 87 (vertically opposite angles)
Rectangle JKLM:
p = 140 ft
w = 30ft
l = (140 - 2(30))/2 = 40ft
A = (30)(40) = 1200 ft²
Rectangle STUV:
l = 8yd = (8)(3) = 24 ft
24ft/40ft = 3/5
so . .
w = 3/5*30 = 18ft
A = 3/5*1200 = 720 ft²
Ratio of area JKLM:STUV = 1200/720 = 5/3
