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taurus [48]
3 years ago
10

CH, DI, and EG are perpendicular bisector of FBJ. Find FJB

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

<FJB = 112°

Step-by-step explanation:

Sum of 3 angles in a triangle = 180

Given:

<FBJ = 32°

<BFJ = 36°

so

<FBJ  + <BFJ  + <FJB = 180°

32° + 36° +  <FJB = 180°

<FJB + 68° = 180°

<FJB = 180° - 68°

<FJB = 112°

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He would pay $4,320 back

Step-by-step explanation:

If he pays $120 a month then

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$1440 x 3 = $4,320

He would have to pay $1,320 extra for the car. I wouldn't be willing to buy the car.

4 0
3 years ago
What is the cost for 7 donuts when it costs 4.27 per dozen?​
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Answer:

7 donuts at $0.36/donut = $2.49

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6 0
3 years ago
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Let f be defined by the function f(x) = 1/(x^2+9)
riadik2000 [5.3K]

(a)

\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}

Substitute <em>x</em> = 3 tan(<em>t</em> ) and d<em>x</em> = 3 sec²(<em>t </em>) d<em>t</em> :

\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt

=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}

(b) The series

\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}

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\displaystyle\sum_{n=3}^\infty\frac1{n^2}

(c) The series

\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}

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\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}

That is, ∑ (-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ converges absolutely because ∑ |(-1)ⁿ (<em>n</em> ² + 9)/<em>e</em>ⁿ| = ∑ (<em>n</em> ² + 9)/<em>e</em>ⁿ in turn converges by comparison to a geometric series.

5 0
3 years ago
A contestant on a game show has 60 points. She answers a question correctly to win 30 points. The she
Grace [21]

Answer:

30+15=45

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Step-by-step explanation:

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The answer is 76 I think. Don't hold it against me if I'm wrong. :)
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