3. Triangle JKL is shown below. Which of the following is not a true statement about
1 answer:
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Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
Divide both sides by 2.
Splitting the middle term, we get
Using zero product property, we get
or
or
For , the side AE is negative. So,
is not possible.
Therefore, the required solution is .
The pattern is formed a geometric sequence
The nth term of the sequence is
Step-by-step explanation:
The formula of the nth term of a geometric sequence is:
, where
- a is the first term
- r is the common ratio between the consecutive terms
∵ The pattern is 3 , 9 , 27 , 81 , 243
∵ 9 ÷ 3 = 3
∵ 27 ÷ 9 = 3
∵ 81 ÷ 27 = 3
∵ 243 ÷ 81 = 3
- There is a common ratio 3 between each two consecutive terms
∴ The pattern is formed a geometric sequence
∵ The first term is 3
∴ a = 3
∵ The common ratio is 3
∴ r = 3
- To find the nth term substitute a and r in the formula above
∵
∴
- Remember we add the powers of the same base with multiplication
∵ 3 × =
∴ 3 × =
∴
∴ The nth term of the sequence is
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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