Question

The polygons are similar but not necessarily drawn to scale find the value of X. Show the steps you use to solve the problem (image attached) GIVING BRAINLIEST

Answer 1

Answer:

The correct answer is x =9

Step-by-step explanation:

It is given that, the polygons are similar.

Then the ratio of  corresponding sides are equal.

To find the ratio of corresponding sides

corresponding sides are

16 and 12   ratio  = 12/16 = 3/4

32 and 24 ratio  = 24/32 = 3/4

x - 1 and 6

y + 1 and 21

Therefore we can write 6/(x-1) = 3/4

To find the value of x

6/(x-1) = 3/4

24 = 3(x-1)

24 = 3x - 3

3x = 27

x = 27/3

x = 9

Therefore the value of x = 9

Answer 2

Answer:

$x=9$

Step-by-step explanation:

Since the given polygons are similar the corresponding sides are in the same proportion.

This implies that;

$\frac{x-1}{6}=\frac{16}{12}$

We multiply both sides by 6 to obtain;

$x-1=\frac{16}{12}\times 6$

$x-1=\frac{16}{2}$

$x-1=8$

Group similar terms to get;

$x=8+1$

$x=9$