Step-by-step explanation:
Given two similar triangles, how does one use proportions to find the lengths of one of the sides of one of the triangles? Answe
1 answer:
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ANSWER
EXPLANATION
The given series is
This series is finite.
The expanded form is
This simplifies to
Answer:
36
Step-by-step explanation:
Let's let n be any number.
If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n <em>must</em> be even. Therefore, let 2n be our first number.
So, the consecutive even number will be (2n+2) followed by (2n+4).
We know that their sum must be 114. Therefore, we can write the following equation:
Solve for n. Combine like terms on the left:
Subtract 6 from both sides:
Finally, divide both sides by 6. Therefore, the value of n is:
Therefore, our first even number is 2n or 2(18) which equates to 36.
And the consecutive even numbers will be 38 and 40.
So, the smallest of them, the first term, is 36.
Answer:
A. E={ and
is a multiple of 8}
Step-by-step explanation:
Let represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and
is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={ and
is a multiple of 8}
The correct choice is A