In a fast-food restaurant, the ratio of people eating hamburgers to people eating chicken is 4 : 3. there are 84 people in the restaurant. how many people are eating hamburgers and how many are eating chicken? a. 36 people are eating hamburgers; 48 people are eating chicken. b. 12 people are eating hamburgers; 72 people are eating chicken. c. 48 people are eating hamburgers; 36 people are eating chicken. d. 21 people are eating hamburgers; 63 people are eating chicken.

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.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x