Answer:
(E) 90°
Step-by-step explanation:
The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.
Any angle of a rectangle is 90°.
_____
Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.
Answer:
---- critical point
local minima
Step-by-step explanation:
Given
Required
Determine the critical point
Differentiate w.r.t x
Differentiate w.r.t y
Equate both to 0
Divide by 2
----- in both equations
Hence:
The critical point is:
Solving (b):
We have:
This is represented as:
Calculate the determinant
The critical point is at local minima
Answer:
$
Step-by-step explanation:
Total Cost = Fixed + Variable Cost
Variable Cost = $10 × 80 = $800
$1200 = Fixed Cost + $800
Fixed Cost = $1200 - $800
Fixed Cost = $400
The number of ways is 497420
The ways can the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled is
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
22C9 = 22! /(9!*13!) = 497420
Thus, In 497420 ways the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled.
Learn more about Combinations:
brainly.com/question/4313883
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Answer:
x = 6
Step-by-step explanation:
Since the line segment is an angle bisector then the following ratios are equal
= ( cross- multiply )
78(6x - 1) = 42(10x + 5) ← distribute parenthesis on both sides )
468x - 78 = 420x + 210 ( subtract 420x from both sides )
48x - 78 = 210 ( add 78 to both sides )
48x = 288 ( divide both sides by 48 )
x = 6