Answer:
See explanation
Step-by-step explanation:
The given circle has center O.
A, B,C, and D are points on the circumference of the circle.
We want to prove that: 
We need to join to B and C as shown in the attachment.
Recall that angle subtended by arc BC at the center is twice the angle subtended at the circumference by the same arc.
This implies that:


The LHS of equation (1) and (2) are equal. Therefore the RHS are also equal.
This implies that:


We will use the amount Jermaine used to determine the admission price, since that is not given to us. The total amount he paid is equal to the sum of the price of the tickets and the admission price, a. We get the equation 48.75 = 1.50 * 20 + a (a = $18.75). Now, if a person comes to the fair and pays for only the rides and admission, we can form an equation in x, the number of ride tickets, and y, the total cost incurred by that person. y = 1.50x + 18.75. Here, y is the total cost, 1.50 is the price per ticket, x is the number of tickets and 18.75 is the admission cost.
Answer:
5x+12=42
x=6
Step-by-step explanation:
8+x+x+2+3x+2=42
5x+12=42
5x=42-12
5x=30
x=6