Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.
Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.
Conclusion
Both angles = 55
But that's not what you are asked for.
What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM
Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.
The measure of arc LM = 110°
The dimensions would be 21 m by 21 m.
To maximize area and minimize perimeter we use dimensions that are as close to equivalent as possible; 84/4 = 21, so we can use a square with side length 21.
Find how far the car can travel on one gallon of gas, by dividing total miles by number of gallons:
105 miles / 7 gallons = 15 miles per gallon.
Now multiply that by the number of gallons to find total miles:
15 miles per gallon x 9 gallons = 135 total miles.
Answer:a
a) 0.2777
b)0.3377
c)0.2707
Step-by-step explanation:
binomial-
n=40
p=0.05
P ( X =2) = C(40,2)×0.05^2×(1-0.05)^38 = 0.2777 (answer)
hypergeometric-
total component,N=120 out of which 6 are defective and 114 are non defective
P(X=2)= C(6,2)×C (114,38)/C(120,40) =0.3377
Poisson-
Mean/Expected number of events of interest: λ = np=40×0.05 =2
P ( X =2 ) = e^-(2×2^2/2!)= 0.2707
Answer:
The square part is 36 I don't know about the other but once you find that you can add them together.
multiple 6 times 6 and you get 36
x times y then multiple by 2 or divide by 1/2
add both answers together and boom there's the full area