Translate the phrase, then simplify. Subtract eighty-two from one hundred fifty
1 answer:
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Answer:
The proof is given below.
Step-by-step explanation:
Given m∠AEB = 45° and ∠AEC is a right angle. we have to prove that EB divides ∠AEC into two congruent angles, it is the angle bisector.
Given ∠AEC=90° (Given)
∠AEC=∠AEB+∠BEC
⇒ 90° = 45° +∠BEC (Substitution Property)
By subtraction property of equality
⇒ ∠BEC = 90° - 45° = 45°
Hence, both angles becomes equal gives ∠AEB≅∠BEC
Since EB divides ∠AEC into two congruent angles, ∴ EB is the angle bisector.
Answer:
Step-by-step explanation:
Given that three positive numbers have sum 18.
Let the numbers be
Then product
To find maxima, let us use partial derivaties
Equate I derivatives to 0
Solving the two linear equations we get solution as
(6,6)
Hence maximum when x =y=z=6
i.e. when all numbers are equal to 6.