Question

HELP PLEASE
a =

4
6
9

Answer 1

C. 9 (third option)

Explanation:

A proportion sets two ratios equal to each other.

For example of proportion: ⇒
`x*6=y`

Another example of proportion: ⇒
`(y)/(x)=(6/ 2)/(2/2)=(3)/(1)=3`

6/4=4/a

=9 is the correct answer.

Answer 2

9

Explanation:

The small triangle on the left, the larger triangle on the right, and the overall triangle all have the same angles, and therefore are similar.

Writing a proportion:

4 / 6 = 6 / a

a = 9