2 years ago

Which statement regarding the interior and exterior angles of a triangle is always true?

Mathematics

2 answers:

castortr0y [4]2 years ago

5 0

Answer: The answer would be A.

faust18 [17]2 years ago

3 0

A: an exterior angle is supplementary to the adjacent interior angle.

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scoray [572]

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What is the value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 ?

yawa3891 [41]

Answer:

B. $\frac{7}{12}$

Step-by-step explanation:

$m=\frac{3}{2}\\n=\frac{1}{2\\} \\\frac{1}{2} (m-\frac{2}{3} n)=\frac{1}{2} (\frac{3}{2} -\frac{2}{3} .\frac{1}{2} )\\=\frac{7}{12}$

So B is the correct answer.

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2 years ago

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2 years ago

Verify identity list steps. Cot(t)(1-cos^2(t))=cos(t)sin(t)

storchak [24]

Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)

You should already know this:

$\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}$

You should also know this:

$sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)$

So plugging in both of those into our identity, we get:

$\frac{cos(t)}{sin(t)}\cdot sin^2(t) = cos(t)\cdot sin(t)$

Simplify the denominator on the LHS (Left Hand Side)

We get:

$cos(t) \cdot sin(t) = cos(t) \cdot sin(t)$

LHS = RHS

Therefore, identity is verified.

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2 years ago