Answer:
a₁ = 10
Step-by-step explanation:
The common difference d is calculated as
d = a₃ - a₂ = - 20 - (- 5) = - 20 + 5 = - 15
Then
a₂ - a₁ = d , that is
- 5 - a₁ = - 15 ( add 5 to both sides )
- a₁ = - 10 ( multiply both sides by - 1 )
a₁ = 10
Answer:
$2
Step-by-step explanation:
Total money Shania was having = $20.
After buying raffle tickets she was having a total of $6.
Thus ,
The money she spent on the raffle tickets = Money she was having initially -
Money she was having after
purchasing tickets .
= $20 - $6
= $14.
Thus She spent a total of $14 on tickets .
Now , number of tickets she bought = 7.
So, cost of each ticket =
=
= $2.
Thus , each ticket costs $2 for Shania.
Since vertical angles are congruent, (4x+7)=5(x-4). So simplifying we get 4x+7=5x-20. If we add 20 on both sides we get 4x+27=5x. Now when we subtract x from both sides, we get x=27