That's a quarter of the circle. So find the area of the circle, and divide by 4 to get the answer.
Circle area = 3.14*13^2 = 530.66
Answer = circle area / 4 = 132.665
The required solution is ∠RQT = 202° and ∠QTS = 51°
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<h3>What is a cyclic quadrilateral?</h3>
A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It is also called as inscribed quadrilateral.
Its main property is that the sum of opposite angles of inscribed quadrilateral is always 180 degrees.
Now, the given circle has a cyclic quadrilateral QRST in which it is given that ∠RQT = 202° and ∠QRS = 129°
Since,sum of the opposite angles of a cyclic quadrilateral = 180°
⇒∠QTS + ∠QRS = 180°
⇒ ∠QTS + ∠129° = 180°
⇒ ∠QTS = 180° - ∠129°
⇒ ∠QTS = 51°
Hence,the requires angles are ∠RQT = 202° and ∠QTS = 51°.
More about cyclic quadrilateral :
brainly.com/question/14323008
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Answer:
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Step-by-step explanation:
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Let small box = X and large box = y
Set up two equations:
X + Y = 85 pounds.
Rewrite as X = 85 - y
and:
55x + 50Y = 4375 pounds.
Replace x:
55(85 - y) + 50y = 4375
Use distributive property:
4675 - 55y + 50y = 4375
Combine like terms:
4675 - 5y = 4375
Subtract 4675 from both sides:
-5y = -300
Divide both sides by -5:
y = 60
This is the weight of the large box.
The small box would weigh 85 - 60 = 25 pounds.
Large box = 60 pounds.
Small box = 25 pounds.
