Blake is deciding between two parking garages. Garage A charges an initial fee of $10 to park plus $3 per hour. Garage B charges an initial fee of $3 to park plus $4 per hour. Let AA represent the amount Garage A would charge if Blake parks for tt hours, and let BB represent the amount Garage B would charge if Blake parks for tt hours. Write an equation for each situation, in terms of t, t, and determine which garage would be cheaper if Blake needs to park for 12 hours.

Parking garage A

Step-by-step explanation:

write equations

10+3t =AA

3+4t =BB

AA)

10 +3t =

plug in 12 for t

10 +3(12) =

10 + 36 =

46

AA=46

BB)

3+4t=

plug in 12 for t

3+ (4 x 12) =

3 + 48=

51

parking garage A is cheaper

46 < 51

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.