In the diagram below, mpr = 140 and mqs = 106. What is the measure of ptr?

Mathematics

1 answer:

choli [55]3 years ago

4 0

Answer:

Option B

$m\angle PTR=123^o$

Step-by-step explanation:

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

$m\angle PTR=\frac{1}{2}[arc\ PR+arc\ QS]$

substitute the given values

$m\angle PTR=\frac{1}{2}[140^o+106^o]$

$m\angle PTR=123^o$

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Find the exact value of each expression, if it defined. ( if answer is undefined, enter undefined) tan (-1)

Triss [41]

Answer:

$tan(-1) \approx -0.02$

Step-by-step explanation:

The given expression is

$tan(-1)$

The tangent of -1 is defined, it's around -0.02.

The tangent is a trigonometric function with a period of $\pi$ , where each period is separated by a vertical asymptote which indicates that the function is not determined through all its domain, that's what the question refers to when it says "if is undefined, enter undefined".

However, at $x=-1$ , the tangent is determined, that means, there's no asymptote on that coordinate, that's why it has a "determined value", which is -0.02 approximately.