Answer:

Step-by-step explanation:
The given system of equations is now reduced:
1)
,
,
,
Given
2)
By 1)
3)
2) in 1)
4)
By 1)
5)
4) in 3)
6)
Algebra
7)
Algebra
8)
7) in 4)/Algebra
9)
7) and 8) in 2)/Algebra
10)
9), 1), 7) and 8)/Algebra/Result
Answer:
choice 2
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar then corresponding sides are in proportion, that is
=
( cross- multiply )
12(x - 4) = 120 ( divide both sides by 12 )
x - 4 = 10 ( add 4 to both sides )
x = 14
Answer:
x ≤ 13
Step-by-step explanation:
-4 + x ≤ 9
-4 -4
x ≤ 13
Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
=
[ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655