Souvenir hats, t-shirts, and jackets are sold at a rock concert. three hats, two t-shirts, and one jacket cost $140. two hats, two t-shirts, and two jackets cost $170. one hat, three t-shirts, and two jackets cost $180. find the prices of the individual items.

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.

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: