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3 years ago

A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?

Mathematics

1 answer:

kiruha [24]3 years ago

4 0

Step-by-step explanation:

Given information:

A fence on a hill uses vertical posts L and M to hold parallel rails N and P

The diagram is attached below

Here lines N and P are parallel lines

Transversal line for parallel lines N and P is line L

Calculation:

angle 1 and angle 16 are consecutive exterior angles

If parallel lines are cut by a transversal then consecutive exterior angles are supplementary

So measurement of angle 16 = 65 degrees

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Sue a tollbooth worker is paid $12.50 per hour between 8 Am and 4 pm. After 4 pm she is paid $14.25 per hour. If Sue works from

katrin2010 [14]

Answer:

She earns that day $103.5

Step-by-step explanation:

Lets explain how to solve the question

- She is paid $12.50 per hour between 8 am and 4 pm

- After 4 pm she is paid $14.25 per hour

- She works one particular day from 10 am to 6 pm

* Lets distribute her time of work into two part according to her

payment above

# 1st part from 10 am to 4 pm

∵ She is paid $12.50 per hour between 8 am to 4 pm

∵ She works from 10 am to 4 pm

- Calculate how many hours between 10 am and 4 pm

∵ am and pm not like terms in time, so change the time to 24-hours

∵ 4 pm in 24-hour time is 4 + 12 = 16

∴ She works form 10 to 16

∴ She works for 6 hours (16 - 10 = 6)

∴ She is paid = 12.50 × 6 = $75

# 2nd part after 4 pm to 6 pm

∵ She is paid $14.25 per hour after 4 pm

∵ She works from 4 pm to 6 pm

- Calculate how many hours between 4 pm and 6 pm

∵ Both times are pm

∴ She works for 2 hours (6 - 4 = 2)

∴ She is paid = 14.25 × 2 = $28.5

- Add the two answers of the 1st part and the 2nd part

∴ She earns = 75 + 28.5 = $103.5

* She earns that day $103.5

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3 years ago

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11w +99 < 33 algebra answer

Otrada [13]

Answer:

w<-6

Step-by-step explanation:

11w+99<33

-99

11w<-66/11

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2 years ago

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Help i’m taking a test and i’m being timed

Nuetrik [128]

Answer:

5.4

Step-by-step explanation:

Using the pythagorean theorem (a^2 + b^2 = c^2), we can do 2^2 plus 5^2, which is 4 + 25, which simplifies to 29. Now we have 29 = c^2

In order to find c (the hypotenuse), we need to take the square root of both sides to find c. Thus, c = sqrt 29 or 5.385...

Hope this helps!

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3 years ago

IT IS 2AM AND ITS DUE IN LIKE AN HOUR PLEASE HELP

Andreas93 [3]

13) As they’ve given the zeros, you can use those to create factors. Since the zeros are x=-1, x=-3, and x=4, by making the right side 0 in each equation, you get the factors (x+1), (x+3), and (x-4). Then, you can multiply those factors using box method or FOIL or whichever method you prefer. By multiplying (x+1) and (x+3), I got x^2+4x+3. Then, I multiplied that by (x-4) to get x^3-13x-12, which is your final answer.

14) Using the same steps in 13, I found the factors. As the zeros are x=-6 and x=0, I got the factors (x) and (x+6). Then, I multiplied them and got x^2+6x, which is the answer.

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2 years ago

Given that triangle QRS is similar to triangle DEF, what is x?

marta [7]

So the ratio is 40/26 = 1.54

24 ÷ 1.54 = 15.58

2x-4 = 15.58

2x = 19.58

x = 9.8

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2 years ago

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