Let’s say your choosing between two cell phone plans. plan a has a flat fee of $30 and charges $0.05 cent per minute. plan b has a flat fee of $20 and charges $0.10 per minute. how many minutes, x ,will it take for the two plans to cost the same?

x=200 Minutes

Step-by-step explanation:

Using the given information, we can set up slope equations for each set of numbers. Plan A has an equation of y=.05x+30. Plan B has an equation of y=.1x+20. These plans both equal y, so they can be made equal to each other. This looks like .05x+30=.1x+20. Subtract 20 from each side to aid in getting x by itself. This will look like .05x+10=.1x. Subtract .05x from each side to get all the x's to one side. This looks like .05x=10. Divide by .05 to get x. 10/.05=200. This shows how many minutes it takes for the plans to cost the same.

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

1k

step-by-step explanation:

-6k+7k

(-6+7)k

1k