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dalvyx [7]
3 years ago
9

Quadrilateral ABCD is inscribed in a circle. Find the measure of each angle of the quadrilateral.

Mathematics
1 answer:
Softa [21]3 years ago
8 0

Angle A= 88°

Angle C= 92°

Angle D= 80°

Step-by-step explanation:

Step 1:

  From the basic property of Quadrilateral Angle A and Angle C are supplemental( Which means sum of Angle at A and Angle at C is equal to 180 degree)

Step 2:

From the given figure We could relate that

Angle at A = (X-2)°

Angle at C = (X+2)°

Angle at D = (X-10)°

  (X-2)° + ( X+2)° = 180°

On simplification

  X-2+X+2=180°

2X=180°

and X=180/2

    X = 90°

Angle at A= (90-2)° = 88°

Angle at C = (90+2)° = 92°

Angle at D= (90-10)° = 80°

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A group of friends wants to go to the amusement park. They have no more than $320 to spend on parking and admission. Parking is $9.25, and tickets cost $28.25 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.​

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They have no more than $320 to spend on parking and admission

320 ≥ 9.25 + 28.25*p

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Answer

The number of people who can go to the amusement park can be a maximum of 11 people (less than or equal to 11).

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yan [13]

<u>Answer:</u>

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<u>Solution:</u>

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