Answer: BRAINLIEST ME

x:y = 1:9/7 = 7:9

Step-by-step explanation:

Since the polygons are similar, their corresponding sides are proportional. Let the ratio of the corresponding sides be x:y.

Then we can write:

Perimeter of first polygon / Perimeter of second polygon = 7/9

Using the formula for perimeter, we can write:

(x + y + ...) / (ax + ay + ...) = 7/9, where a is the scale factor between the polygons.

Simplifying this expression, we get:

(x + y + ...) / a(x + y + ...) = 7/9

Multiplying both sides by a(x + y + ...), we get:

x + y + ... = (7/9)a(x + y + ...)

Dividing both sides by (x + y + ...), we get:

1 = (7/9)a

Solving for a, we get:

a = 9/7

Therefore, the ratio of the corresponding sides is:

x:y = 1:9/7 = 7:9