The Length of FD = 26 cm
According to the given information
FE = FC = 12cm
As FE, FC both are radius of circle
The tangent segments to a circle from a external point are equal
Hence
CD = ED
13x - 16 = 4x + 11
13x - 4x = 11 + 16
9x = 27
x = 27/9
x = 3
CD = 13x - 16
= 13 × 3 - 16
= 23 cm
ED = 4x + 11
= 4 × 3 + 11
= 23 cm
In Triangle FED
FE is perpendicular to ED
According to Pythagoras Theorem

= 
= 673
FD = 26 cm approx.
The Length of FD = 26 cm
To know more about Pythagoras Theorem
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115>5.75x+28.75
5.75x+28.75<115
5.75x<115-28.75
5.75x<86.25
x<86.25/5.75
x<15 or (-∞,15)
Answer: x<15 or (-∞,15)
Answer:
103,000
Step-by-step explanation:
Use your knowledge of decimal arithmetic. Or, use a calculator.
100,000(1 +.03) = 100,000·1.03 = 1000·103 = 103,000
Answer:
5 ≥ 9*.15 + x*.25
He can buy up to 14 candies
Step-by-step explanation:
Total money ≥number of peppermints * cost per peppermint + number of sour candies * cost per sour candy
We know he has 5 dollars. He bought 5 peppermints at $.15 cents each and x sour candies at $.25 each
Substituting in
5 ≥ 9*.15 + x*.25
5≥1.35 + .25x
Subtract 1.35 on each side
5-1.35 ≥ 1.35-1.35+.25x
3.65≥.25x
Divide by .25 on each side
3.65/.25 ≥ .25x/.25
14.6 ≥ x
He can buy up to 14 candies. You can't buy part of a candy