A telephone costs $0.05 per minute with a fixed fee of $2. Another costs $0.10 per minute with a fixed fee of $1.50. How many minutes would you have to call for the phone calls to cost the same?

10 minutes for them to cot the same.

Step-by-step explanation:

First, you have to equal them to each other.

0.05m + 2 = 0.10m + 1.50

Subtract 0.05m from both sides.

2 = 0.05m + 1.50.

Next, subtract 1.50 from each side.

0.50 = 0.05m

FInally, divide 0.05 on both sides.

10 = m

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc