e and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars. Write an equation representing how much Gwen paid, Write an equation representing how much Keith paid.

For Gwen:-

x + 10y = 30

x + 15y =  40       - Tristan

if we subtract the above equations:-

we get

5y = 10

y = 2

That is the cost of each ticket is $2.

Step-by-step explanation:

Gwen's equation- y=10x+30

Tristan's equation- y=15x+40

Keith's equation- y=10x+30

Step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

2500

step-by-step explanation: