Answer:
Sam had 80 dollars in his pocket. He was feeling generous, so he handed out equal amount of money to each of his friends. After he handed out the money, he had 53 dollars left. How much did Sam give out to each one of his friends?
Step-by-step explanation:
In this real-world problem, the money he had at the beginning resembles the 80 in the equation. The -3x is the money he gives out to each of his friends. The 53 on the right-hand side is the money he has left after he gives the money away.
Step-by-step explanation:
The vertical angles are congruent. The right angles are congruent. There are 2 angles of a triangle congruent to 2 angles of anther triangle. By AA Similarity the triangles are similar.
Statement A. (vertical angles are congruent)
Statement D. (right angles are congruent)
Triangle AEC is similar to triangle BDC.
Statement E is true but does not help.
Correct statement of proportional side lengths:
BD/AE = CD/CE
x/150 = 200/50
x/150 = 4
x = 600
P.S. I think there is a mistake in the problem. I don't think that statement E is correct. It is a true statement, but it is useless. Statement F is false.
<h3>
Answer: B) 2.9 approximately</h3>
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Explanation:
The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the 
terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so 
From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list
So,
This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.
Answer:
Step-by-step explanation:
The circumference of a circle is given by 
, where 
is the radius of the circle.
What we're given:
of 31.4
Solving for :
40 ......................
