In a salad recipe, the ratio of carrots to cucumbers must remain constant. the table below shows some possible combinations
of carrots and cucumbers
salad ingredients
carrots cucumbers
12
18
21
if only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad?
12

4

Step-by-step explanation:

Let total number of vegetables be y and number of carrots be x

x+3x=y

4x=y

the smallest whole number is 1

x=1

y=4

step-by-step explanation:

abc

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.