Answer:
x=20[vertically opposite angle are equal]
Answer:
6 and 2 are the two numbers.
Step-by-step explanation:
since the product is positive, both numbers have the same sign. Since the sum is positive, the two numbers are positive.
Enumerating through the possible factorization of 12 with these properties,
12, 1 (sum is 13)
6, 2 (sum is 8)
4, 3 (sum is 7)
Answer:
Pavilion seats: 1000
Lawn seats: 600
Step-by-step explanation:
Let p represent tickets for pavilion seats and l represent that of lawn seats
Then the total number of tickets is

The total revenue is

We make p the subject in the first equation:
This implies that:

Put equation (3) into equation (2).
This gives us:

Expand to get:

Group similar terms:

Simplify to get


Put l=600 into equation (3) to get:

Therefore 1000 pavilion seats and 600 lawn seats were sold.