Members of the lake shawnee club pay $40 per summer season pass plus $7.50 each time they rent a boat. nonmembers pay $12.50 each time they rent a boat. how many times would both a member and a nonmember have to rent a boat in order to pay the same amount?

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.