Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $8 monthly fee and charges an additional $0.12 for each minute of calls. The second plan has a $18 monthly fee and charges an additional $0.7 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

200 minutes

Step-by-step explanation:

Let us assume the number of minutes be x

Now the two equations are

$8 + 0.12x = 0

And, $18 + 0.7x = 0

In the case when the cost of the two plans is equal

So

$8 + 0.12x  = $18 + 0.7x

$8 - $18 = 0.7x - 0.12x

-$10 = -0.05x

x = 200 minutes

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.