Aroller skating rink charges nonmembers $6 per day to use the rink plus $2.50 per day to rent skates. members ofthe rink pay an annual fee of $90 plus $1 per day to tent skates. how many days must both a member and nonmember use the rink in one year so that both pay the same amount

They must use the track 12 times so that both pay the same amount.

Step-by-step explanation:

Non-members must pay $ 6 per day plus $ 2.50 per day (for the cost of the skates)

Members must pay a fixed annual fee of $ 90 plus a one-day fee of $ 1 (for the rental of the skates)

We can represent the "r" payment that members and non-members must make per day through two equations.

For non-members:

Where "d" represents the number of days.

For members

Where "d" represents the number of days.

We wish to know for what value of "d"

Then we equate the equations and clear d

6d + 2.5d = 90 + d

7.5d = 90

d = 12

They must use the track 12 times so that both pay the same amount.

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.