For the following equations, find the ratio of a to b. be sure to show all of your work.

3a=6b

15a=5b

1.  a/b = 2

2.  a/b = 1/3

Step-by-step explanation:

3a=6b

We want to find a/b

Divide each side by b

3a/b=6b/b

3a/b = 6

Divide each side by 3

3a/3b =6/3

a/b = 2

15a=5b

We want to find a/b

Divide each side by b

15a/b = 5b/b

15a/b = 5

Divide each side by 15

15 a/15b = 5/15

a/b = 1/3

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.