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3 years ago

What is the missing step for step 8

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Answer:

CD ≅ CD, Reflexive property

Step-by-step explanation:

We want to show the triangles are similar by SAS. We've already proven that one pair of their sides are congruent (AC ≅ BD), and that one pair of their angles are congruent (∠CDE ≅ ∠DCE), so we need to show that the next pair of sides are congruent.

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3 years ago

What is the HCF of 54

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2 years ago

Exercise 4.x2 Make a reasonable conjecture about the nth term in the sequence. 1 3 16 125 1296...

Ulleksa [173]

Answer:

The nth term in the sequence is given by the equation:

$n_{th} =(n+1)^{n-1}$

Step-by-step explanation:

Arranging a table for n and nth:

$\left[\begin{array}{ccc}n&nth\\1&1\\2&3\\2&16\\4&125\\5&1296\end{array}\right]$

It is easier to notice that 16 and 125 result from the second power of 4 and the third of 5, respectively, which are one number below their respective position. That is why we can deduce that the base of the power is n+1.

For n=2, the base n+1 results in 3, which matches the nth term for n=2. Since 3 is the result of 3 to the power of 1, 16 is 4 to the power of 2, and 125 is 5 to the power of 3, all the powers are one number behind n, so the power is given by n-1, giving the equation:

$n_{th} =(n+1)^{n-1}$

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3 years ago