Felix joins a local recreation center to play basketball. The recreation center charges a $20 annual fee, plus an additional $15 per month for usage of the basketball courts. Felix prepays by writing back a check for $185 for how many months did felix pay

Felix paid 11 months.

Step-by-step explanation:

With the information provided, you can say that the cost to use the local recreation center is equal to the annual fee plus the result of multiplying the cost per month for the number of months, which can be expressed as:

Total cost=20+15x, where:

x is the number of months

Now, you can replace the total cost with 185 that is the amount that Felix paid and solve for x to find the number of months he paid:

185=20+15x

185-20=15x

165=15x

x=165/15

x=11

According to this, the answer is that Felix paid 11 months.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

⭐⭐

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.