Answer:
We need the following three rigid motions:
i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.
Step-by-step explanation:
We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':
i) Reflection around y-axis:
(Eq. 1)
ii) Translation three units in the -y direction:
(Eq. 2)
iii) Translation four units in the -x direction:
(Eq. 3)
We proceed to proof the effectiveness of operations defined above by testing point D:
1)
Given.
2)
By (Eq. 1)
3)
By (Eq. 2)
4)
By (Eq. 3)/Result
Answer:
24) $495
25) 14%
26) 25/X = 83/100
27) 0.7p
28) x + .085x and 1.085x
29) $221.90
30) $24.10
31) $6.13
32) 40%
Step-by-step explanation:
24) 600 - (600 × 0.25) = 450
450 × 1.10 = 495
25) (106 - 93) ÷ 93 = 0.13978
0.13978 × 100 = 13.978 ~ 14
27) 1.0 - 0.3 = 0.7
28) 1.00 + 0.085 = 1.085
29) 100% - 15% = 85%
240 × 0.85 = 204
204 × 1.0875 = 221.85
30) 25.89 × 4 = 103.56
103.56 + 179.99 = 283.55
283.55 × 0.085 = 24.10175
31) 8.75 × 0.70 = 6.125
32) 80 - (80 × 0.40) = 48
60 square feet= $287.00 + $80.00
= $367
1 square feet= $367 / 60
= $6.116666667
= $6.12 (to 2dp) ( answer)
Step-by-step explanation:
Name the total of pens purchased as x and the pencils as y... Make two equations and solve them. I also search for the pencils purchased in addition