Answer:
3. angles forming a linear pair to sum to 180
4. Def of supplementary angles
Answer: the original price of the skirt is $24
Step-by-step explanation:
Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)
Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is
0.75(x + 18)
Applying the distributive property, it becomes
0.75x + 13.5
Jade pays a total of 31.50 for the two items. It means that
0.75x + 13.5 = 31.5
0.75x = 31.5 - 13.5
0.75x = 18
x = 18/0.75
x = $24
The volume of the cube would be S^3, where S is the length of the side.
Volume = (5a + 4b)^3
Which becomes:
(5a+4b)(5a+4b)(5a+4b)
Multiply the first two sets of parenthesis by each other:
(25a^2+40ab+16b^2)(5a+4b)
Now multiply that by the 3rd set of parenthesis to get:
125a^3+300a^2b + 240ab^2 + b^3
Answer: 2.9 minutes.
Step-by-step explanation:
Given: Rate of filing the tank = 12 gallons per minute
Total volume of reservoir = 35 gallons
Time taken to fill the reservoir = 
hence, time taken to fill the reservoir = 2.9 minutes.
Answer:
0.4459
Step-by-step explanation:
Let the random age variable, X = 4.5; mean,∪ = 4.8; standard deviation, α = 2.2
By comparing P ( 0≤ Z ≤ 4,8)
P(Z ≤ X - ∪/α) = P(Z ≤ 4.5 - 4.8/2.2) = P(Z ≤ - 0.136)
Using the table: P(0≤ Z ≤ 1) = 0.0541
P(Z > 1) = (0.5 - 0.0541) = 0.4459
∴ P(Z > 4.5) = 0.4459
