There are 400 balcony seats in the concert hall.
<u>Step-by-step explanation</u>:
Step 1 :
- The number of lower seats = 450 seats
Total seats = Lower seats + balcony seats
Step 2 :
- Tickets sold = 170 tickets
- Total tickets = x
Tickets sold = 1/5 of total tickets.
⇒ 170 = (1/5)x
⇒ x = 5
170
⇒ x = 850 tickets
∴ Total seats in the concert hall is 850.
Step 3 :
Total seats = 450 + balcony seats
850 - 450 = balcony seats
∴ balcony seats = 400
Answer:
Step-by-step explanation:
Um... there is no "Lorenzo's scores."
Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
Please mark my answer as the brainliest
Answer:
D.24
Pythagorean states:
hypotenuse^2 = side1^2 + side2^2
30^2 = 18^2 + side2^2
side2^2 = 30^2 - 18^2
side2^2 = 900 - 324
side2^2 = 576
side2 = sqr root 576
side2 = 24
Source: http://www.1728.org/pythgorn.htm
Step-by-step explanation: