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3 years ago

1. Identify the parallel lines.

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

Answer:

1. The parallel lines are m and n

2. The transversal is line t.

3. 8 angles are formed by the transversal.

4. Angles 7 and 5, 1 and 3, 2 and 4, 6 and 8, 6 and 2, 7 and 3, 1 and 5, 4 and 8, 3 and 5, 2 and 8, 4 and 6, and 1 and 7.

5. If m<5 is 110°, then m<1 is also 110°

Hope this helps

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Still gonna cry leave step by step pls

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Answer: 114

Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.

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4 years ago

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An escalator lifts people to the second floor of a building 25 feet above the first floor. The escalator rises at a 30 degree an

ch4aika [34]

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Answer:

50 ft

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3 years ago

You and five of your friends like to go to McDonalds once a week and get Happy Meals for the prize inside. McDonalds has just st

Pavel [41]

Answer:

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In this regard the most suitable option is rolling a dice, numerous times and recording the occurrences accordingly.

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3 years ago

larisa86 [58]

A. Every month Population will increase by a factor of 0.84%.

B. Every 3 months Population will increase by a factor of 2.5%.

C. Increase in population in every 20 months is 10% + 6.72% = 16.72%.

Step-by-step explanation:

Here, we have number of employees in a company has been growing exponentially by 10% each year. So , If we have population as x in year 2019 , an increase of 10% in population in 2020 as $x + \frac{x}{100}\times10$ which is equivalent to $\frac{11x}{10}$ .

A.

For each month: We have 12 months in a year and so, distributing 10% in 12 months would be like $\frac{10}{12} = 0.84$ . ∴ Every month Population will increase by a factor of 0.84%.

B.

In every 3 months: We have , 12 months in a year , in order to check for every 3 months $\frac{12}{3} = 4$ and Now, Population increase in every 3 months is $\frac{10}{4} = 2.5$ . ∴ Every 3 months Population will increase by a factor of 2.5%.

C.

In every 20 months: We have , 12 months in a year in which increase in population is 10% . Left number of moths for which we have to calculate factor of increase in population is 20-12 = 8. For 1 month , there is 0.84% increase in population ∴ For 8 months , 8 × 0.84 = 6.72 %.

So , increase in population in every 20 months is 10% + 6.72% = 16.72%.

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3 years ago

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

harkovskaia [24]

Domain is the numbers yo can use
we has a sqrt and a ln
we cant have any neagtive ln's or sqrts
x cannot be negative
it cannot be 0 either
domain is all numbers bigger than 0

deritivive
apply chain rule
dy/dx(f(g(x))=f'(g(x))g'(x)
and also
dy/dx (lnx)=1/x
and
dy/dx(f(x)g(x))=f'(x)g(x)+g'(x)f(x)
and from experience
dy/dx(sqrtx)=1/(2√x)

so

dy/dx(ln(2xsqrt(2+x)))=
(1/(2xsqrt(2+x))(2)(sqrt(2+x)+(x/(2sqrt(2+x))=
(3x+4)/(2x(x+2))

domain is all real numbers greater than 0
derivitive is $\frac{3x+4}{2x(x+2)}$

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3 years ago