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damaskus [11]
2 years ago
10

5

Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

In the given diagram, the value of AC is 24. The correct option is B. 24

<h3>Properties of rectangle </h3>

From the question, we are to determine the value of AC

From one of the properties of a rectangle, we have that

The diagonals of a rectangle are equal and bisect each other.

Then, in the given diagram

AC = DB

Thus,

3x - 6 + 3x - 6 = 2x + 2x

6x -12 = 4x

6x - 4x = 12

2x = 12

x = 12/2

x = 6

In the diagram,

AC = 3x - 6 + 3x - 6

AC = 3(6) -6 + 3(6) - 6

AC = 18 - 6 + 18 - 6

AC = 24

Hence, the value of AC is 24. The correct option is B. 24

Learn more on the Properties of a rectangle here: brainly.com/question/23008020

#SPJ1

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