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2 years ago

What is the arc measure of minor arc AB in degrees?

Mathematics

1 answer:

Ratling [72]2 years ago

3 0

Answer:

$m\widehat{AB} =55 \degree$

Step-by-step explanation:

$\because m\angle APC=m\angle DPE$

(Vertical angles)

$\therefore m\widehat {ABC} =m\widehat {DE}$

(Measure of minor arc is equal to the measure of it's corresponding central angle)

$\therefore m\widehat {AB}+m\widehat {BC} = m\widehat {DE}$

$\therefore m\widehat{AB} = m\widehat {DE} - m\widehat {BC} \\ \\ m\widehat{AB} =93 \degree - 38 \degree \\ \\ m\widehat{AB} =55 \degree$

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Name an angle adjacent to ∠DGE. A. ∠FGI B. ∠EGH C. ∠HGJ D. ∠JGI

spin [16.1K]

Answer: Choice B) Angle EGH

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The given angle is DGE. Exactly two of the letters (D, G, and E) will be found in any adjacent angle to this given one. For example, angle FGD is adjacent to DGE because of the shared letters D and G. The two angles share the segment DG.

Similarly, angle DGE is adjacent to EGH for the same reason. Now segment EG is the overlapping shared segment. Note how "E" and "G" can be found in the given angle and the answer.

Edit: see the attached image for visual proof. The given angle is in red. The angle for the answer is in blue.

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3 years ago

Find the vertical asymptote(s) of f of x equals quantity 4 x squared plus 3x plus 6 end quantity over quantity x squared minus 3

siniylev [52]

The vertical asympototes of f(x) are at x = -6 and x = 6

Step-by-step explanation:

To find the vertical asymptote(s) of a rational function,

Equate the denominator by 0
Solve it for x
If x = a, then the vertical asymptote is at x = a

∵ $f(x)=\frac{4x^{2}+3x+6}{x^{2}-36}$

- Equate the denominator x² - 36 by 0

∵ x² - 36 = 0

- Add 36 to both sides

∴ x² = 36

- Take √ for both sides

∴ x = ± 6

∴ There are vertical asymptotes at x = -6 and x = 6

The vertical asympototes of f(x) are at x = -6 and x = 6

Learn more:

You can learn more about the asymptotes in brainly.com/question/6459599

#LearnwithBrainly

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3 years ago

A volume of a cylinder is given by the expression 6n2 – 13n – 28. The area of the base is 3n + 4.

olga nikolaevna [1]

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3 years ago

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An office opens at 9am and closes at 5.30pm with a lunch break of 30minutes. What is the ratio of lunch break to the total perio

Alex777 [14]

Answer:

1:17

Step-by-step explanation:

Find out how long it it between 5.30pm and 9am. This is 8 hours 30 minutes or 510 minutes.

Now, arrange them in the ratio of Lunch Break to Total office time

30:510. This can be simplified to 1:17

Please check if the question is worded correctly, just in case. Because ratio questions are usually based on a part and the remaining parts of the same thing, and not part to whole.

Anyway. The answer given if for the question you have typed.

Hope this helps.

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2 years ago

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N divided Into 8 is what

Goryan [66]

Answer:

$\frac{N}{8}$

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3 years ago