Answer:
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Answer:
m∠RQS = 72°
m∠TQS = 83°
Step-by-step explanation:
m∠RQS +m ∠TQS = m∠RQT
The two angles combine to make a larger angle
So
m∠RQS = (4x - 20)
m∠TQS = (3x + 14)
(4x - 20) + (3x + 14) = 155
Group the Xs and the constants
4x + 3x - 20 + 14 = 155
Combine like terms
7x - 6 = 155
Add 6 to both sides
7x = 161
Divide by 7 on both sides
x = 23
Check:
4(23) - 20 + 3(23) + 14 = 155
92 - 20 + 69 + 14 = 155
155 = 155
But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.
m∠RQS = 4(23) - 20 = 72°
m∠TQS = 3(23) + 14 = 83°
Checking:
72 + 83 = 155
Answer:
Remainder= 5, and the binomial 
is not a factor of the given polynomial.
Step-by-step explanation:
Given polynomial is 
, we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.
Remainder theorem says if 
is a factor then remiander would be 
Therefore for 
Thus the remainder is 5 and since it is not 0 , so the binomial is not a factor of the given polynomial.
The new cost would be 1661.175 if u want it rounded it would be 1661.18 because you would need to do 1444.5 x .15 and then add that to 1444.5
