Answer:
D = -7
Step-by-step explanation:
3-4: Definition of supplementary angles
5: Simplify
Answer:
length = 78 m , width = 27 m
Step-by-step explanation:
let w represent width then length l = 3w - 3
the perimeter (P) is calculated as
P = 2l + 2w = 210 , substitute values
2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side
6w - 6 + 2w = 210
8w - 6 = 210 ( add 6 to both sides )
8w = 216 ( divide both sides by 8 )
w = 27 and l = 3(27) - 3 = 81 - 3 = 78
Then length = 78 m and width = 27 m
Side 1 = short side = 2x-3
side 2 = longer side = (short side) + 6 = (2x-3)+6 = 2x+3
side 3 = side 2 = 2x+3
Side 2 and side 3 are the longer two congruent sides
Add up the three sides and set them equal to the given perimeter of 33. Solve for x
(side1)+(side2)+(side3) = perimeter
(2x-3)+(2x+3)+(2x+3) = 33
(2x+2x+2x) + (-3+3+3) = 33
6x+3 = 33
6x+3-3 = 33-3
6x = 30
6x/6 = 30/6
x = 5
If x = 5, then the longer sides are 2*x+3 = 2*5+3 = 10+3 = 13 inches each
(note: the short side is 2*x-3=2*5-3=10-3 = 7 inches)
Answer: 13 inches
Answer:
8
Step-by-step explanation:
12 * <u>2</u>
3
= <u>24</u>
3
= 8
Therefore the answer is E. 8
