FILL IN THE BLANK PLEASE HELP Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 8 cm.

(1) How many equilateral triangles are there? _

(2) What is the measure of each of the three angles in the equilateral triangle? _

(3) If we cut an equilateral triangle down the middle (red line), what special right triangle do you create? _

(4) What is the vocabulary word for the red line? _

(5) What is the length of the short side of one 30-60-90 triangle? _

(6) What is the length of the hypotenuse of one 30-60-90 triangle? _

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _

(8) What is the height of the equilateral triangle? _

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

answer: #1 ads up by 8 and i don't know #2

answer: rolling a number cube and flipping a coin.

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct