Answer:
Step-by-step explanation:
The answer is C.
Exterior angles are complementary to the opposite interior angle
Answer:
<h2>She gave her brother 6 tickets</h2>
Step-by-step explanation:
This problem is on fractional numbers.
given that she has 60 tickets
1.She used 3/4 of her tickets to play game
=(3/4)*60
=180/4
=45
She is left with (60-45)= 15 tickets
2. She used 1/5 of her remaining tickets for rides
=(1/5)*15
=15/5
=3
She is left with (15-3)= 12 tickets
3. She gave half of her tickets to her brother.
= (1/2)*12
=12/2
= 6
She gave her brother 6 tickets
Answer:
For radio = $40.43
Television = $444.73
Player = $364.73
Step-by-step explanation:
The computation of the each device cost is shown below:
let us assume the following things
radio be x
television x + 10x
player x + 10x - $80
Now the equation is
x + x + 10x + x + 10x - $80 = $850
3x + 20x - $80 = $850
23x = $930
x = $40.43
For radio = $40.43
Television = $40.43 + 10(40.43)
= $40.43 + $404.3
= $444.73
and, the player would be
= $444.73 - $80
= $364.73
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
= 
[ 2a₁ + (n - 1)d ] , thus
= 
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
