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2 years ago

Find the value of x if ∡A and ∡B are supplementary angles.

Mathematics

1 answer:

Elanso [62]2 years ago

3 0

Answer:

$x = 30.5$

Step-by-step explanation:

Two angles are supplementary when they add up to 180°.

So we know that:

$C + D = 180$

Supplanting we get:

$(3x-44) + (5x-20) = 180$

We add up the X's.

$8x-44-20 = 180$

$8x-64 = 180$

Then we send 64 to the other side adding:

$8x = 180+64$

$8x = 244$

And then the 8 goes dividing:

$x = 244 : 8$

$x = 30.5$

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Take any three digit number. Reverse its digits and subtract the smaller of the two numbers from the larger. Determine what numb

rjkz [21]

Answer: 11 is the required number that always divides such differences for the following types of numbers.

Step-by-step explanation:

Take any 3 - digit number, say, 325

On reversing its digit it becomes, 523

On subtracting the smaller of the two numbers from the larger, $523-325\\\\=198$

we can see that 198 is an even number.

take another number say, 629

On reversing its digit, it becomes = 926

On subtracting , we get that

$926-629=297$

But 297 is not an even number.

But there is one common in both the cases is that both the differences are divisible by 11.

Hence, 11 is the required number that always divides such differences for the following types of numbers.

8 0

3 years ago

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environ

MA_775_DIABLO [31]

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?

<span>Yes, because the LED bulb manufacturer may benefit from the survey results.
</span>
If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.

3 0

3 years ago

Read 2 more answers

Use the Taylor series you just found for sinc(x) to find the Taylor series for f(x) = (integral from 0 to x) of sinc(t)dt based

Marina CMI [18]

In this question (brainly.com/question/12792658) I derived the Taylor series for $\mathrm{sinc}\,x$ about $x=0$ :

$\mathrm{sinc}\,x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}$

Then the Taylor series for

$f(x)=\displaystyle\int_0^x\mathrm{sinc}\,t\,\mathrm dt$

is obtained by integrating the series above:

$f(x)=\displaystyle\int\sum_{n=0}^\infty\frac{(-1)^nx^{2n}}{(2n+1)!}\,\mathrm dx=C+\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

We have $f(0)=0$ , so $C=0$ and so

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}$

which converges by the ratio test if the following limit is less than 1:

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(-1)^{n+1}x^{2n+3}}{(2n+3)^2(2n+2)!}}{\frac{(-1)^nx^{2n+1}}{(2n+1)^2(2n)!}}\right|=|x^2|\lim_{n\to\infty}\frac{(2n+1)^2(2n)!}{(2n+3)^2(2n+2)!}$