Answer:
<h2>x = 3 and y = 4</h2>
Step-by-step explanation:
We know:
The diagonals in a parallelogram divide by halves.
Therefore KG = UG and DG = CG.
We have
KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2
Substitute:
5y - 8 = 3y <em>add 8 to both sides</em>
5y = 3y + 8 <em>subtract 3y from both sides</em>
2y = 8 <em>divide both sides by 2</em>
y = 4
---------------
4x - 7 = x + 2 <em>add 7 to both sides</em>
4x = x + 9 <em>subtract x from both sides</em>
3x = 9 <em>divide both sides by 3</em>
x = 3
60*20% are red
60*30% are orange
60*30% are green
60*20% are blue = 12 * 20% = 2.4 blue candy chocolates that are damaged
Answer:
<h2>The x-coordinate after the rotation is -10.</h2>
Step-by-step explanation:
A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.
A 90° counterclockwise rotation is defined by the rule
The given coordinate is 
. Using the rule, we have
Therefore, the x-coordinate after the rotation is -10.
Answer:
The answer is (A) Economies of scale define how cost changes with output, and returns to scale define how output changes with input usage
Step-by-step explanation:
Economies of scale show the effect of an increased output level on unit costs, Economies of Scale refer to the cost advantage experienced by a firm when it increases its level of output. The advantage arises due to the inverse relationship between per-unit fixed cost and the quantity produced. The greater the quantity of output produced, the lower the per-unit fixed cost.
Returns to scale focuses only on the relationship between input and output quantities. Returns to scale is the variation, or change, in productivity that is the outcome from a proportionate increase of all the input.
36 divided by 9 = 4
4 x 4 (the numerator) = 16
