Find the angles marked with with letters
2 answers:
Answer:
a = 67° , b = 26° , c = 69°
Step-by-step explanation:
a and 67° are corresponding angles and are congruent , so
a = 67°
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The triangle on the left has 3 equal sides thus is equilateral with 3 congruent angles of 60°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , that is
b + 34° = 60° ( subtract 34° from both sides )
b = 26°
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The vertex of the triangle and 42° are vertically opposite and are congruent
vertex = 42°
The triangle has 2 equal legs and is isosceles with 2 base angles congruent.
c = =
= 69°
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The most appropriate choice for maxima and minima of a function will be given by
Rectangle of length 72 feet and breadth 36 feet has largest area
What is maxima and minima?
Maxima of function f(x) is the maximum value of the function and minima of function f(x) is the minimum value of the function.
Here,
Let the length be x feet and breadth be y feet
The farmer has 144 feet of fencing
Three of the sides will require fencing and the fourth wall already exists.
So,
x + y + y =1 44
x + 2y = 144
Area of rectangle(A) = xy
= (144 - 2y)y
=
=
For largest area,
Hence area is maximum
For largest area, y = 36 feet
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So length of rectangle is 72 feet, breadth of rectangle is 36 feet
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