Answer:
Step-by-step explanation:
a = -1
b = 2
c = 3
a + (-c) = -1 + (-3) = -4
Both numbers have same sign(-Ve).So add and the result will have the -Ve sign.
c - (-b) = c + b = 3 + 2 = 5
b = 2
Least to greatest: a +(-c) , b , c-(-b)
Answer:
The angles are 54 2/3 degrees and 115 1/3 degrees
Step-by-step explanation:
make an equation for the angles x being one angle and y being the other
16+ 2x =y
Supplementary angles add to 180
x + y = 180
Fill in y with the first equation
x + 16 +2x =180
simplify
3x +16 =180
subtract 16 from both sides
3x = 164
divide both sides by 3
x = 54 2/3
Insert the value of x into the first equation then simplify
16 + 2(54 2/3) =y
16 + 109 1/3 =y
115 1/3 =y
Answer:
No.
Step-by-step explanation:
25x + 20y = 5x(5 + 4y)
Distribute the 5x inside the (5 + 4y).
5x * 5 = 25x
5x * 4y = 20xy
25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Adjective: Made up of various parts or elements
