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3 years ago

PLEASE HELP ASAP!!!!!!!

Mathematics

1 answer:

love history [14]3 years ago

8 0

Answer:

(a) Because it is an exterior angle

(b) The measure of angle 2 is 72°

Step-by-step explanation:

Angle 2 is an exterior angle because it is adjacent to the interior angle 1, and an exterior angle is equal to the sum of the measures of the two nonadjacent interior angles:

<2=30°+42°

<2=72°

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Which function has the following characteristics?

iren [92.7K]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at $y = -\frac{1}{2}$ is given by:

$f(x) = -\frac{x}{2(x - 3)}$

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

$f(x) = \frac{g(x)}{x - 3}$

The horizontal asymptote at y = -1/2 means that:

$\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}$

Which happens if $g(x) = -\frac{x}{2}$ , hence the function is:

$f(x) = -\frac{x}{2(x - 3)}$

More can be learned about asymptotes at brainly.com/question/16948935

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2 years ago

Geometry question on finding x.

Dmitrij [34]

Answer:

$x =63^o$

Step-by-step explanation:

Given :-

$\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}$

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

$\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o$

Hence the value of x is 63° .

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3 years ago

Ok ok, Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much

givi [52]

Answer:

It is 0.4524 rounded simply you can say 0.45

Step-by-step explanation:

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8 0

3 years ago

Read 2 more answers

A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the proba

maw [93]

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7 = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

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Hope this helped.

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2 years ago

Simplify -23b4+(-7b4)

Rzqust [24]

-30b4 would be your answer.

Hope I helped!

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3 years ago