I'm assuming you're comparing two triangles? If not, then this is probably wrong.
Triangle = 180 degrees
180 divided by 3 = 60 degrees
since ∠1 ≅ ∠2 ≅ ∠3, each angle equal 60 degrees
∠4 ≅ ∠5
m∠4 = m∠3 + 10
m∠3 + 10 = m∠5
we know that m∠3 is 60 degrees.
60 + 10 = 70, so m∠5 is 70 degrees
70 degrees is the answer.
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The head of maintance at xyz rent a car believes that the mean number of miles between services is 4959 miles, with a standard deviation of 448 miles. what is the probability that the mean of a sample of 43 cars would be less than 5018 miles?
Answer:
Answer of question 1 :
Explanation:
Let x be the legs of ducks
And y be the legs of cows
According to the question,
2x + 4y = 52...…..(i) ( as ducks ahs two legs and as cows has 4 legs)
As he has 21 animals in total so,
x + y = 21...…..(ii)
We have make the equation. We will solve them by eliminatory method or substitution method. Here, I'll go for substitution method.
From equation (ii)
x = 21 - y....…..(iii)
Putting the value of x in equation (i),
2x + 4y = 52
2( 21 - y ) + 4y = 52
42 - 2y + 4y = 52
2y = 52 - 42
y = 10/2
y = 5 ( He has 2 cows)
putting the value of y in equation (ii)
x + y = 21
x + 5 = 21
x = 21 -5
x = 16 ( He has 16 ducks)
