Answer:
Step-by-step explanation:
Given
--- Boys & Girls
Required
Determine the ratio of the kitten ears to the tails
A kitten has 1 tail and 2 ears.
Assume each individual got 1 kitten each
This implies that,
The ratio of ears to tail is then calculated as follows:
Ratio = Number of ears : Number of tails
This gives
Divide by 13
We call:
as the set of <span>the first 51 consecutive odd positive integers, so:
</span>
Where:
<span>and so on.
In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:
3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.
Then, the common difference is 2, thus:
</span>
<span>
Then:
</span>
<span>
So, we need to find the sum of the members of the finite series, which is called arithmetic series:
There is a formula for arithmetic series, namely:
</span>
<span>
Therefore, we need to find:
</span>
Given that
, then:
Thus:
Lastly:
Answer:
Its b
Step-by-step explanation:
got it right on edg
By angle addition postulate,
m(∠ABD) + m(∠DBC) = m(∠ABC)
Now substitute the values of each angle,
(5x + 5)° + (3x + 12)° = 153°
Combine like terms of the expression,
(5x + 3x) + (5 + 12) = 153
8x + 17 = 153
8x = 153 - 17
x = 
x = 17
Substitute the value of 'x' to get the measure of each angle,
m(∠ABD) = (5x + 5)
= 5(17) + 5
= 90°
m(∠DBC) = (3x + 12)
= 3(17) + 12
= 63°
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The correct Option is (A) 35x^3 - 16x^2 + 44x - 48
Explanation: The product of the polynomials (5x^2 + 2x +8)(7x-6) is:
(5x^2)(7x-6) + 2x(7x-6) +8(7x-6)
35x^3 -30x^2 + 14x^2 - 12x + 56x - 48
35x^3 - 16x^2 + 44x - 48 (Option A)
