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baherus [9]
2 years ago
13

O is the centre of the circle, EF is a tangent, angle BCE=28 degrees, angle ACD=31 degrees.

Mathematics
1 answer:
Yuki888 [10]2 years ago
4 0

Answer:

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

a. because angle between tangent and chord is equal to the angle(s) in alternate segment.

b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚

c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚

d. 28*2=56˚ because angles at circumference are half angles at centre

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Answer:

x= -40

Step-by-step explanation:

Cost

C(x)=1,600+20x

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so, there is one real root.

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