Answer:
a₂ = - 28.5
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 45 and given a₃ = - 12 , then
a₁ + 2d = - 12 , that is
- 45 + 2d = - 12 ( add 45 to both sides )
2d = 33 ( divide both sides by 2 )
d = 16.5
Then
a₂ = a₁ + d = - 45 + 16.5 = - 28.5
1) X^5Y/X^5= X^0Y= Y (Anything raise to power of 0 is 1)
2)(3mn)^1= 3mn
3)m^-4xM^5= M^-4+5= M
4) 5^-4x5^4= 5^-4+4= 5^0= 1
5) nm^3/n^3m= n^1-3m^3-1= n^-2m^2= m^2/n^2
6) (-2)^0= 1
therefore number 4 and 6 has the value of 1
Answer:
Width = 3.75 feet
Length = 9.75 feet
Step-by-step explanation:
Given:
Length of fencing = 27 feet
Find:
Dimensions of the garden
Computation:
Assume
Width = x
So,
Length = x + 6
2(L+B) = Perimeter
2(x + x + 6) = 27
2(2x + 6) = 27
4x + 12 = 27
4x = 15
x = 3.75
Width = 3.75 feet
Length = 3.75 + 6 = 9.75 feet
Answer:
Option B) ∠ ABC ≅ ∠ DEF
Step-by-step explanation:
Parallel lines that are divided by a transverse lines exhibit interesting properties. A transverse line is a line that combines two parallel lines to give equal angles on the top of the line. These angles are known as corresponding angles. In addition, the angles are known as Z angles as they form a shape of a Z. In addiction, the angles can also be vertically opposite angles. The are angles that are opposite each other. However, these angles are equal in magnitude. Thus, the angles ∠ ABC and ∠ DEF are equal in magnitude.