Well if 5+5=10 adding 1 would give you 11. Or you could do 6+6=12 and then subtract 1. Both 5+5 and 6+6 are doubles facts.
Answer: The m ∡KLM is: 130° .
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Explanation:
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(3x − 4) = (4x − 27) ; (Since these are "bisected, congruent angles", they are equal).
⇒ 3x − 4 = 4x − 27 ;
⇒ Subtract "4x" from EACH SIDE of the equation; and add "4" to EACH SIDE of the equation;
⇒ 3x − 4 − 4x + 4 = 4x − 27 − 4x + 4 ;
to get:
⇒ - 1x = -23 ;
⇒ Divide EACH SIDE of the equation by "-1" ; to isolate "x" on one side of the equation; and to solve for "x" ;
⇒ -1x / -1 = -23 / -1 ; to get:
⇒ x = 23;
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To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ;
{Note: Remember: (3x − 4) = (4x − 27) } ;
So, plug in our solved value for "x" ; which is: "x = 23" into one of the expressions for one of the congruent angles.
Let us start with: "(3x − 4)" .
(3x − 4) = 3x − 4 = 3(23) − 4 = 69 − 4 = 65 .
By plugging in our solve value for "x" ; which is: "x = 23" ; into the expression for the other congruent angle, we should get: "65" ;
Let us try:
(4x − 27) = 4x − 27 = 4(23) − 27 = 92 − 27 = 65. Yes!
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So to find m ∡KLM:
(3x − 4) + (4x − 27) = 65 + 65 = 130° .
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Alternate method:
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At the point which we have:
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To find m ∡KLM :
m ∡ KLM = (3x − 4) + (4x − 27) ; and at which we have our solved value for "x" ; which is: "x = 23" ;
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We can simply plug in our known value for "x" ; which is: "23" ; into the following:
m ∡ KLM = (3x − 4) + (4x − 27) = [(3*23) − 4] + [(4*23) − 27] ;
= (69 − 4) + (92 − 7) = 65 + 65 = 130° .
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{Note: Using this method, we determine that each angle is equal; that is, "65° ".}.
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1) 180° - 146° = 34
9х - 2 = 34
9х = 34 + 2
9х = 36
х = 36 : 9
х = 4
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2) (9х - 2) + (6у + 44) = 180°
(9 * 4 - 2) + (6у + 44) = 180
(36 - 2) + (6у + 44) = 180
34 + 6у + 44 = 180
6у = 180 - 34 - 44
6у = 102
у = 102 : 6
у = 17
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Answer: 7.94
Step-by-step explanation:
The formula to calculate the standard deviation for binomial distribution :-
, where n is the number total of trials and p is the probability of getting success in each trial.
Given : The probability of the population has a particular genetic mutation=0.1
If 700 people are randomly selected, then the standard deviation for the number of people with the genetic mutation in such groups of 700 will be :-
Hence, the standard deviation for the number of people with the genetic mutation in such groups of 700 = 7.94
Answer:
50 minutes
Step-by-step explanation:
Water pumps 40 gallons per minute, therefore it would take 50 minutes to pump 2,000 gallons.
2000/40 = 50 minutes
