Answer:
Step-by-step explanation:
Hello, as alpha and beta are zeroes of

it means that their sum is alpha+beta=1 and their product alpha*beta=-2.
The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4
and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is

Thank you.
The required solution is ∠RQT = 202° and ∠QTS = 51°
<h3 />
<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:
198 yards
Step-by-step explanation:
Sean wants the sting of each balloon to be 9 feet, and he wants to get a total of 66 balloons.
The total length of stings required for 66 balloons would be;
total length of balloon strings = 66 x 9 feet
= 594 feet
But the string is sold by the yard at the store.
So that,
1 yard = 36 inches = 3 feet
x yard = 594 feet
Thus,
x = 
= 198 yards
x = 198 yards
Therefore, the total length of string that Sean would need is 198 yards.
2.48>2.4<1>2.463
is the answer