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Usimov [2.4K]
3 years ago
5

In circle Y, what is m? 59° 67° 71° 118°

Mathematics
2 answers:
galina1969 [7]3 years ago
8 0
If two chords<span> intersect inside a </span>circle<span>, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its </span>vertical angle<span>.

</span>\frac{arc \ SR+arc \ TU}{2}=63  \\ \\  55+arc \ TU=63*2  \\ \\55+arc \ TU=126\\\\ \ arc \ TU = 126-55=71^o<span>
</span>
masha68 [24]3 years ago
5 0

Answer:

arc\ TU=71\°

Step-by-step explanation:

we know that

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

In this problem we have that

63\° =\frac{1}{2}(arc\ SR+arc\ TU)

we have

arc\ SR=55\°

substitute and solve for arc TU

63\° =\frac{1}{2}(55\°+arc\ TU)

126\° =(55\°+arc\ TU)

arc\ TU=126\°-55\°=71\°

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The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin
atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = \frac{e^{-mean} mean^{x}}{x!}

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = \frac{e^{-3.8} 3.8^{0}}{0!}

P(X=0) = \frac{0.02237 * 1}{1}

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0
3 years ago
Find values of a and b that make the statement |a+b|= |a|+|b| false.
jok3333 [9.3K]

The values that make this statement falser are any in which a and b do not have the same sign.

For instance, if a was equal to 3 and b was equal to -3 than see the results.

|a+b|=

|3+-3|=

|0|= 0

Then see the next equation with the same selections

|a|+|b|

|3|+|-3|

3 + 3 = 6

And this would be true no matter which is the negative, as long as there is one negative and one positive.

3 0
4 years ago
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how f
yaroslaw [1]

Answer: 12.69 miles approx

Step-by-step explanation:

let x represent the number of miles traveled

1.75 + 0.65x = 10

0.65x  = 8.25

x = 12.69 miles approx

3 0
3 years ago
Rafael wants to earn at least $45 trimming trees. He charges $8 per hour and pays $3 in equipment fees. What are the possible nu
pshichka [43]

Answer:

6\leqr

Step-by-step explanation:

45\leq8r-3

48\leq8r

6\leqr

8 0
3 years ago
Formula given in picture
yarga [219]
I think It's 0.9% I'm not sure though or 1.03%
4 0
3 years ago
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