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LUCKY_DIMON [66]

2 years ago

10

In the diagram, what is the value of x?

2 answers:

olchik [2.2K]2 years ago

6 0

An easy way to do this is to take both angles and add them up to 180 degrees. (Since these are straight lines, and a straight line is 180 degrees.) We know that one angle is 82 degrees, so we can subtract that from 180 degrees and find the other angle. 180 - 82 = 98.

myrzilka [38]2 years ago

3 0

Hello!

The angle that measures 82 and the angle that is x are supplementary meaning that they equal to 180°

We can subtract the 82 angle to find x

180 - 82 = 98

x is 98

Hope this helps!

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How many deaths per day if approximately 32200 citizens of a country died in automobile accidents in 2015.

Stolb23 [73]

32200 divide by the number of days in a year 365

32200 / 365 = 88.21

about 88 per day

4 0

2 years ago

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Find all values of x for which the series converges. (Enter your answer using interval notation.) [infinity] 9 x − 7 9 n n = 0 F

makkiz [27]

Answer:

The series converges to $\frac{1}{1-9x}$ for $\frac{-1}{9} < x < \frac{1}{9}$

Step-by-step explanation:

Given the series is $\sum_{n=0}^{\infty} 9^n x^n$

We have to find the values of x for which the series converges.

We know,

$\sum_{n=0}^{\infty} ar^{n-1}$ converges to (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, $\sum_{n=0}^{\infty} 9^n x^n = \sum_{n=0}^{\infty} (9x)^{n}$ is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for $\frac{-1}{9} < x < \frac{1}{9}$

And geometric series converges to $\frac{a}{1-r}$

Here, a = 1 and r = 9x

Therefore, $\frac{a}{1-r} = \frac{1}{1-9x}$

Hence, the given series converges to $\frac{1}{1-9x}$ for $\frac{-1}{9} < x < \frac{1}{9}$

4 0

2 years ago

A circle has central angle measuring 2pi/5 radians that intersects an arc of length 20cm what is the length of the radius of the

Alik [6]

<h2>Answer:</h2><h2>The radius of the circle = 15.92 cm</h2>

Step-by-step explanation:

Given, the central angle of the arc = $\frac{2\pi }{5}$ = 1.256

Length of the arc = 20 cm

Radius of the circle = ?

Radius of the circle = $\frac{arc length}{central angle}$ = $\frac{20}{1.256}$ = 15.92 cm

8 0

2 years ago

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Ronch [10]

gggggg Step-by-step explanation:

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5 0

2 years ago

Pls help, i'll give you a brainliest 4 answer <3

babymother [125]

Answer:

$x = 45 \ \& \ y = 5$

Step-by-step explanation:

The system of linear equations in two variables is ,

$\begin{cases} x = 9y \cdots (i)\\ x - 5y = 20\cdots (ii) \end{cases}$

We can easily solve out this Question using substitution method . For that , substituting x = 9y from equation (i) to equation (ii) , we have ,

$\implies x - 5y = 20 \\\\\implies 9y - 5y = 20 \\\\\implies 4y = 20 \\\\\implies y =\dfrac{20}{4}\\\\\implies\boxed{\boxed{ y = 5 }}$

Substituting this value in (i) ,

$\implies x = 9y \\\\\implies x = 9\times 5 \\\\\implies \boxed{\boxed{ x = 45 }}$

5 0

2 years ago

Read 2 more answers