<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:
given
n=9
a=1
d=3-1=2
Step-by-step explanation:
now , by formula,
sn = n/2(2a+(n-1)d)
= 9/2(2×1+(9-1)×2)
=9/2×18
=81
Step-by-step explanation:
5x – 2x + 7 – x = ?x + ?
I need the answer for "no solution" and "infinite solutions".
NO SOLUTION:
no solution because any value you give to x is not solvable, it remains +7
5x – 2x + 7 – x = ?x + ?
2x = 2x + 7
INFINITE SOLUTION
infinite solutions because any value you give to x is solvable
5x – 2x + 7 – x = ?x + ?
5x – 2x + 7 – x = 2x + 7
2x + 7 = 2x + 7
The answer is C.) 2002
The graph shows that the previous years have been under that, the number of markets is shown on the y axis
Answer:
feet
Step-by-step explanation:
In a 30-60-90 triangle, the ratios of the side lengths of the triangle is 
Where 1 is the shortest leg, root(3) is the longer leg, and 2 is the hypotenuse.
First we can set x equals to the length of the original pole, and so the shorter leg has a length of x/3 and using the ratio of side lengths, we can find that:
Solving for x, we find that
So the length of the original pole would be feet
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