Tim is choosing between two cell phone plans that same amount of free minutes. cingular plane charges 39.99 per month with additional minutes costing 0.45. verizon plan cost 44.99 with minutes at 0.40 . how many additional minutes a, will it take for thw two plans to cost the same

100 minutes

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the total cost of the plan

we know that

Cingular Plan

-----> equation A

Verizon Plan

-----> equation B

To find out how many additional minutes will it take for the two plans to cost the same

Solve the system of equations A and B

Solve by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (100,84.99)

see the attached figure

therefore

For x=100 minutes

The cost for both plans is $84.99

The last answer choice

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.