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3 years ago

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

Mathematics

1 answer:

Yuki888 [10]3 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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4 years ago

Read 2 more answers

Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. She spent a total of $1

olchik [2.2K]

Answer:

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140 .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160 .......2

Solving the equation 1 and 2

Or, ( 8 A + 8 S ) - ( 8 A + 4 S ) = 160 - 140

Or, ( 8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S = $\frac{20}{4}$

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So, 8 A + 4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

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Hence The Total number of adults ticket's is 15

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3 years ago

A bicycle store calls 24000 per month to operate the store pays an average of $60 per bike the average selling price of each bic

alexira [117]

If it costs the store $60 to acquire a bike and it sells the bikes for $120 each, the store gets $60 of profit per bike sold.
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4 years ago

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zloy xaker [14]

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7 0

3 years ago