Respuesta :

Answer:

x = 40.

Step-by-step explanation:

The corresponding sides are in the same proportion so:

45/ 27 = 30/18 = x/24

Consider the last 2 fractions:

30/18 = x/24

5/3 = x/24           Cross multiply:

3x = 5 * 24

x =  120 / 3

x  = 40.

The value of x is 40 after using the similarity law the answer is 40.

What is the similarity law?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have:

The polygons in each pair are similiar:

The corresponding sides are in the same proportions:

45/27 = 30/18 = x/24

30/18 = x/24

x = 40

Thus, the value of x is 40 after using the similarity law the answer is 40.

Learn more about the similarity law here:

brainly.com/question/8045819

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