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3 years ago

Please help!In circle Y, what is m?82°100°106°118°

Mathematics

1 answer:

ss7ja [257]3 years ago

5 0

Answer:

<em>The correct option is: 82°</em>

Step-by-step explanation:

In the given diagram, two chords $RT$ and $SU$ are intersecting.

According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."

That means here......

$94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°$

So, the measure of arc $TU$ is 82°

You might be interested in

Unit activity: exponential and logarithmic functions

nirvana33 [79]

We will conclude that:

The domain of the exponential function is equal to the range of the logarithmic function.
The domain of the logarithmic function is equal to the range of the exponential function.

<h3>Comparing the domains and ranges.</h3>

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

$\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty$

So the range of the logarithmic function is the set of all real numbers.

<h3>So what we can conclude?</h3>

The domain of the exponential function is equal to the range of the logarithmic function.
The domain of the logarithmic function is equal to the range of the exponential function.

If you want to learn more about domains and ranges, you can read:

brainly.com/question/10197594

3 0

1 year ago

If f(x)f(x) is an exponential function where f(4.5)=23f(4.5)=23 and f(8)=42f(8)=42, then find the value of f(5.5)f(5.5), to the

nydimaria [60]

Answer:

f(5.5)≈27.32

Step-by-step explanation:

5 0

2 years ago

In the pictures down below<br><br>Can anyone help? Fractions and percents<br><br>

wariber [46]

1st Picture:
$3)- \frac{6}{7} +\frac {10}{11}
\\\\LCD:77
\\\\\frac{6}{7}* \frac{11}{11} + \frac{10}{11}*\frac{7}{7}= \frac{66}{77} + \frac{70}{77} = \frac{136}{77} = 1\frac{59}{77} 
 \\ \\ 4) 3\frac{6}{7}* 2 \frac{1}{10}= \frac{27}{7} * \frac{21}{10} = \frac{567}{70} =\frac{81}{10} = 8\frac{1}{10}
\\\\5)2\frac{1}{2}+3\frac{1}{3}
\\\\LCD: 6
\\\\ 2\frac{3}{6} + 3\frac{2}{6} =5\frac{5}{6}
\\\\6)5\frac{1}{8}*-6\frac{6}{11}=\frac{41}{8}* \frac{72}{11}=\frac{2952}{88}=\frac{369}{11}=33\frac{6}{11}$

2nd Picture:

$1)80 percent of 80 = .8*80 =64
\\\boxed{64}
\\\\2)95percent of 100=.95*100=95
\\\boxed{95}$

7 0

3 years ago

HELP HELP HELP HELP HELP

Simora [160]

Answer : 32
( angles of a triangle add up to 180)

6 0

2 years ago

Write a ratio comparing the amount of palm kernel oil 66 grams to rose hydrosol 110 grams write as a fraction then simplify

Basile [38]

$\frac{66}{110}$ = $\frac{3}{5}$

7 0

3 years ago