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oksano4ka [1.4K]
2 years ago
13

In the figure below, ∠t= 133° . Find the measures of all remaining angle.

Mathematics
1 answer:
barxatty [35]2 years ago
5 0

t is vertical to s because they share a point and are directly across from each other. vertical angles are congruent. therefore s=113 degrees

t and p are corresponding angles, which means they are congruent. this means p is also 113 degrees.

s and o are corresponding angles, so o is also 113 degrees.

t and u are supplementary. they share a straight line, so they add up to 180. you can find u by subtracting 113 from 180. 180-113= 67, so u is 67 degrees.

u and r are vertical angles, so r is 67 degrees.

r and m are corresponding, as well as u and q. therefore m and q both equal 67 degrees.

hope this helped :)

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Do male and female servers work the same number of hours? A sample of 25 female servers worked an average of 26 hours per week,
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Given that

Group   Group One     Group Two  

Mean       26.00 23.00

SD                 2.00 4.00

SEM         0.40 1.21

N                     25     11    

where group I represents female servers and group II male servers.

We have to calculate confidence interval for 90% for difference in means

The mean of Group One minus Group Two equals 3.00

df = 34  

 standard error of difference = 0.993

t critical = 2.034 for 90% df 34

Hence confid. interval at 90%

=Mean diff ±2.034 * std error of diff

= (0.98, 5.02)

5 0
3 years ago
If f(x) = -2x + 7, find f(8)
anastassius [24]

Answer:

-9

Step-by-step explanation:

You have to plug 8 into the formula for x. f(8) = -2(8)+7 = -16+7 = -9

5 0
3 years ago
What is the area of the following circle of the radius is 4=r
maria [59]

Answer:

50.24 (unit squared! cm2, m2, etc.)

Step-by-step explanation:

Area is: Pi x r^2

3.14 x 4^2 = 3.14 x 16 = 50.24

8 0
3 years ago
Read 2 more answers
The temperature is 16 degrees F in the morning and drops to -15 degrees F in the evening what is the difference between these te
Arturiano [62]
16 - (-15) = 16 + 15 = 31...difference of 31 degrees
8 0
3 years ago
What types of numbers are undefined when they are under a radical sign? If you were dealing with the number √-1, would it be def
Misha Larkins [42]
The square root of a a negative integer is imaginary.
It would still be a negative under a square root if you multiplied it by 2, therefor it will still be imaginary, or I’m assuming as your book calls it, undefined.
2•(sqrt-1) = 2sqrt-1

If you add a number to -1 itself, specifically 1 or greater it will become a positive number or 0 assuming you just add 1. In that case it would be defined.
-1 + 1 = 0
-1 + 2 = 1

If you add a number to the entire thing “sqrt-1” it will not be defined.
(sqrt-1) + 1 = 1+ (sqrt-1)

If you subtract a number it will still have a negative under a square root, meaning it would be undefined.
(sqrt-1) + 1 = 1 + (sqrt-1)

however if you subtract a negative number from -1 itself, you end up getting a positive number or zero. (Subtracting a negative number is adding because the negative signs cancel out).
-1 - -1 = 0
-1 - -2 = 1

If you squared it you would get -1, which is defined
sqrt-1 • sqrt-1 = -1

and if you cubed it, you would get a negative under a square root again, therefor it would be undefined.
sqrt-1 • sqrt-1 • sqrt-1 = -1 • sqrt-1 = -1(sqrt-1)

Sorry if this answer is confusing, I don’t have a scientific keyboard, I’ll get one soon.
8 0
3 years ago
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