Answer:
Given, DF and DE are midsegments of ABC. so D is the mid point of AB and F is the mid point of AC.
Considering AB,
Then DE is parallel to AC, as mid-segments are parallel to the non included side of the triangle.
Also, according to corresponding angle theorem,
Then,
As,
According to similarity of two triangles,
Answer:
a)
b)
c)
Step-by-step explanation:
For total cost function , average cost is given by
i.e., total cost divided by number of units produced.
Marginal average cost function refers to derivative of the average cost function i.e.,
Given:
Average cost =
a)
At x = 50 units,
b)
Average cost =
c)
Marginal average cost:
Differentiate average cost with respect to
Take
using quotient rule,
Therefore,
Answer: There are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.
Explanation:
Since we have given that
For every 5 pieces of cloth, 2 are rectangles
So, remaining piece will be of triangle so,
3 are triangles.
Ratio of rectangles to triangles is 2:3.
Now, she needs 15 pieces of cloth to complete her scarf,
So, Number of rectangles is needed is given by
Number of triangles is needed is given by
Hence, there are 6 pieces of cloth are rectangles and 9 pieces of cloth are triangles.