Answer:
Option A) m∠RNS=27°
Step-by-step explanation:
We know that 
∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:
∠RNS = 
∠SNT= 
∠TNU= 
Now let us add all the angles and solve for the value of 
as follow:
Now lets plug in the value into the expression for angle ∠RNS to find the angle as:
Thus Option A. is the correct answer.
1.
60² + 30² = 4500²
Opposite corner = 67.08 ft.
//
2.
6² + 8² = 100²
The wire must be 10 ft.
//
3.
7² + 14² = 245²
The rope is 15.65 ft.
//
4.
180² + 300² = 122400²
He ran 349.85 ft.
//
I'm not too sure about question 3.
<h3>Answer: QS is 37 units long</h3>
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Explanation:
PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.
PN*NR = QN*NS
24*14 = 21*(2x-4)
336 = 42x-84
336+84 = 42x-84+84 .... add 84 to both sides
420 = 42x
42x = 420
42x/42 = 420/42 ...... divide both sides by 42
x = 10
We know that x = 10 so we can use it to find the length of NS
NS = 2x-4
NS = 2*10-4
NS = 20-4
NS = 16
Therefore,
QS = QN + NS
QS = 21 + 16
QS = 37
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note: as a check,
PN*NR = QN*NS
24*14 = 21*16
336 = 336
we get a true equation, so we have the proper values
Answer:
Step-by-step explanation:
https://www.toppr.com/ask/question/find-the-value-of-k-such-that-the-polynomial-x2k6x22k1/
Answer:
-7
Step-by-step explanation:
