If 12c-18 is the perimeter of a regular hexagon we can divide this by 6 to get the length of one side. (12c-18)/6 = 2c-3 as an expression for one side of the hexagon.
We need an expression that is equal to 12c-18 one possible expression is just 2c-3+2c-3+2c-3+2c-3+2c-3+2c-3 would be equal to 12c-18. The other expression would also have to equal 12c-18 we can divide this expression by to then add that quotient to itself. (12c-18)/2= 6c-9. 6c-9+6c-9
a.2c-3+2c-3+2c-3+2c-3+2c-3+2c-3
b.6c-9+6c-9
c. 2c-3
Answer:
question 3.3 Answer: Angle 3
question 3.4 Answer: ABD and DBC are complementary angles
question 3.5 Answer: x is 7 degrees (first answer option)
Step-by-step explanation:
First question:
Recall that suplementary angles are those whose addition gives 180 degrees. Therefore the supplementary angle to angle 8 is angle 3.
Second question:
Recall that complementary angles are those angles which added give 90 degrees. Therefore, the only correct answer for this question is the third one: ABD and DBC are complementary angles.
Third question:
Notice that the two angles added should render 90 degrees, therefore, their expression should as well add to 90 degrees. Such can be written in equation form as:
( 6 x - 20 ) + (4 x + 40 ) = 90
combining like terms and later solving for x we get:
6 x + 4 x - 20 + 40 = 90
10 x + 20 = 90
10 x = 90 - 20
10 x = 70
x = 7
Therefore x is 7 degrees
Answer:
25
Step-by-step explanation:
150 gallons = 4 * 150 = 600 quarts.
You then put 24 of these quarts into a shipping box.
600 / 24 = 25
That means you can get 25 full cases from 150 gallons.
Answer:
I think it's the top left one
Step-by-step explanation:
The length is 6, the width is 3, and the height is 4, which matches the expression.