At fly-right airlines, passengers are informed that checked bags must weigh 40 lb or less, or they will have to pay a fee for an oversized bag. (a) write an inequality that represents the weight of a checked bag that will not result in a fee. let w represent the weight of the bag. (b) are there any solutions to the inequality that do not make sense for this situation? explain answer

(a) .

(b) Negative values.

Step-by-step explanation:

(a)    

Let w be the weight of the bag.

We are told that at fly-right airlines, passengers are informed that checked bags must weigh 40 lb or less, or they will have to pay a fee for an over-sized bag. So the w must be less than or equal to 40 pounds.

We can represent this information in an inequality as: .

Therefore, the checked baggage with weight will not result in a fee.

(b)  

Negative values do not make sense for this situation as weight of baggage can not be negative.

Therefore, negative weights as the solutions of the inequality do not make sense.

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.