<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
It might be mmmm idk I’m too dome
Answer:
$592.92
Step-by-step explanation:
Bills:
47 ones = 47*1 = $47
22 fives = 22*5 = $110
9 tens = 9*10 = $90
17 twenties = 17*20 = $340
Total Bills: 47+110+90+340 = $587
Coins:
67 pennies = 67*1 = $0.67
12 nickels = 12*5 = $0.60
9 dimes = 9*10 = $0.90
15 quaters = 15*25 = $3.75
Total Coins: 0.67+0.6+0.9+3.75 = $5.92
Total: $587+$5.92 = $592.92
Answer:
B 55
Step-by-step explanation:
not positive but if your in a crunch this is what seems right to me, i would wait for others answers tho
Answer:
13) 1
14) st^3
15) m^-2n^-2
Step-by-step explanation:
The above solutions are basic mathematical division operation.
