Six equilateral triangles are connected to create a regular hexagon. the area of the hexagon is 24a2 – 18 square units. which is an equivalent expression for the area of the hexagon based on the area of a triangle?

6(4a2 – 3)
6(8a2 – 9)
6a(12a – 9)
6a(18a – 12)

A.

Step-by-step explanation:

We have been given that six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is square units. We are asked to find the area of hexagon based on the area of a triangle.

Since our given hexagon is made of 6 equilateral triangles, then area of hexagon will be six times the area of each triangle.

To find the area of hexagon in terms of area of triangles, we will factor our 6 from our given expression as:

Therefore, the area of the hexagon based on the area of a triangle would be and option A is the correct choice.

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c