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3 years ago

What is the interior angles cut by transversal t.

Mathematics

1 answer:

gregori [183]3 years ago

5 0

Answer:

When two lines are cut by a transversal, the pairs of angles on either side of the transversal and inside the two lines are called the alternate interior angles . If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent

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What value of B makes the expression, x^2 + bx + 64 a perfect square trinomial?

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3 years ago

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3 years ago

Complete the equation of the line whose slope is − 2 and y-intercept is ( 0 , 3 )

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3 years ago

The closed form sum of

zalisa [80]

Perhaps you know that

$S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6$

and

$S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4$

Then the problem is trivial, since

$\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}$

Then

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3 years ago

Are these two answers correct? Please help, thanks!

Reika [66]

Let's help Julia to solve this problem. Given the term:

$\frac{sec^{2}( \theta)-1}{cot^{2}( \theta)+1}$

We need to simplify it. So, we will take a look at the identities above, thus, from the second identity:

$sec^{2}( \theta)-tan^{2}(\theta) = 1$

∴ $sec^{2}( \theta)-1=tan^{2}(\theta)$

And from the five equation:

$1 = csc^{2}( \theta)-cot^{2}(\theta)$

∴ $cot^{2}(\theta)+1= csc^{2}( \theta)$

Substituting these identities in the term:

$\frac{tan^{2}( \theta)}{csc^{2}( \theta)} = sin^{2}( \theta)tan^{2}( \theta)$

In fact, your answer is correct.

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4 years ago

Read 2 more answers

What is the interior angles cut by transversal t.​

What is the interior angles cut by transversal t.