The polygons in each pair are similar. Solve for x.*

Answer:

X = 6

Step-by-step explanation:

Heights is 5x

Lengths is 6x

The solution for the x is 7 as per the concepts of similar polygons.

Given that the polygons in each pair are similar.

To find the value of x, we can set up a proportion between the corresponding side lengths of the two similar polygons.

We have the following proportion:

(6x - 7) / 42 = 25 / 30

To solve this proportion, we can cross-multiply:

30(6x - 7) = 42(25)

Simplifying further, we get,

180x - 210 = 1050

Next, we isolate the variable by adding 210 to both sides of the equation:

180x = 1260

Finally, we divide both sides by 180 to solve for x:

x = 1260 / 180

Simplifying:

x = 7

Therefore, the value of x is 7.

To learn more about similar polygons;

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