Question

what is the value of x in the diagram below

Answer 1

Answer:

D) 9

Step-by-step explanation:

Using proportions, we have

12/2 = 54/x

Cross multiplying, we have

12(x) = 2(54)

12x = 108

Divide both sides by 12:

12x/12 = 108/12

x = 9

Answer 2

The value of x from the given figure will be 9. So option D is correct.

How to find the value of x?

The two triangles in the figure are similar, because they have three equal angles.

However ,The ratio of the corresponding sides are equal.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Using proportions, we have;

12/2 = 54/x

Cross multiplying, we have;

12(x) = 2(54)

12x = 108

Divide both sides by 12:

12x/12 = 108/12

x = 9

Hence, the value of x from the given figure will be 9.

So option D is correct.

Learn more about angles;

https://brainly.com/question/7116550

#SPJ5