Answer:
n = 13
Step-by-step explanation:
The sum of the measures of the interior angles of an n-sided polygon is
(n - 2)180
Set (n - 2)180 equal to 1980 and solve for n.
(n - 2)180 = 1980
Divide both sides by 180.
n - 2 = 11
Add 2 to both sides.
n = 13
Answer:
Figure D
Step-by-step explanation:
we know that
If the scale factor of the dilation is 1/2, that means the dilation is a reduction
so
the answer is between the Figure C and Figure D
but
a rotation of 180° eliminate the Figure C
therefore
The answer is the Figure D
1.44 is more than 1.438 so the second brother
Answer:
2x + 12y + 43 ≥ 40
17x + 12y + 8z ≥ 20
14x + 6y + z ≤ 50
x ≥ 0
y ≥ 0
z ≥ 0
Step-by-step explanation:
given:
Cost Eggs = $2
Cost of edema = $5
cost of elbow Macaroni = $3
Lets eggs = x,
edamame = y
elbow macaroni = z
TC = 2x+5y+3z
Therefore;
2x + 12y + 43 ≥ 40
17x + 12y + 8z ≥ 20
14x + 6y + z ≤ 50
x ≥ 0
y ≥ 0
z ≥ 0
the first objective is to make sure the total cost is subject to the required nutritional requirements.
So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.
The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).
to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.
Same should be done for protein, we require at least 20 grams of protein, Eggs add 17g, edamame adds 12g, and macaroni adds 8g.
and lastly we don't want more than 50 grams of fat, Eggs add 14g, edamame add 6g and macaroni 1g.
Answer:
72 ft²
Step-by-step explanation:
Given :
Parallelogram ABCD with side AD parallel to side BC and side AB is parallel to side DC.
Point E is on side AB. AE is 3 feet. DC is 9 feet.
A dotted segment DE runs from point D to the opposite side AB and is perpendicular to side AB.
DE is 8 feet.
To Find: Area of parallelogram
Solution :
Refer the attached figure .
Since opposite sides of parallelogram is equal .
So DC=AB=9 feet
Area of parallelogram = base * height
= AB*DE
=9*8 = 72 ft²
Thus the area of garden in the shape of parallelogram is 72 ft²
