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tatuchka [14]
3 years ago
6

Find x in the following diagram

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
8 0

Answer:

x = 71

Step-by-step explanation:

The sum of the measures of the exterior angles of a polygon is always 360°.

A triangle has 3 exterior angles.

152+ 137+x = 360

Combine like terms

289 +x = 360

Subtract 289 from each side

289-289+x=360-289

x = 71

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Given that sin 2x = cos(2x - 30). Find the value of tan x.​
Paul [167]

Answer:

x=30o+n90on∈Z

Step-by-step explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

4 0
3 years ago
Read 2 more answers
A researcher wants to determine whether the number of minutes adults spend online per day is related to gender. A random sample
suter [353]

Answer:

The expected frequency for the cell E2,2 is = 33

Step-by-step explanation:

The given data is

Gender               | 0-30| 30-60| 60-90| 90+       Totals

Male                    | 23    |    35   |   76    |  46        180

<u> Female               |   31   |    42   |   46    |  16         135    </u>

<u>Totals                    54         77        122    62          315  </u>

<u />

The expected frequency for the cell E2,2 is :

Expected for the (30-60 box for females)   =  Total of (30-6)/ (total )* females

                                                                      = ( 77/315)135= 33

Here p= 77/315 and n= 135

therefor X= pn = 33

χ²=  (33-42)²/33= 2.455  ( for the single value of E2,2=33)

Expected for the (30-60 box for males)   =  Total of (30-6)/ (total )* males

                                                                      = ( 77/315)180= 44

χ²=  (44-42)²/44= 0.09

The critical region is  χ² (0.05) 3 ≥  χ²= 11.34

Let the null and alternate hypothesis be

H0:the number of minutes spent online per day is not related to gender

against

Ha: the number of minutes spent online per day is related to gender

The single value of χ² for E2,2 = 2.45 is less than the critical value of 11.34.  

6 0
2 years ago
Find the probability that a randomly
Lerok [7]

Fine the area of the circle:

Area of a circle = pi x r ^2

Area of the circle = 3.14 x 4^2 = 50.24 square cm

Find the area of the triangle:

Area of triangle = 1/2 x base x height

Area =1/2 x 8 x 4 = 16 square cm

Find the area of the white part by subtracting the area of the triangle from the circle:

50.24 - 16 = 34.24 square cm.

The probability of landing in white is the area of white/ area of circle:

34.24/50.24 = 0.682

Multiply by 100 to get percent:

0.682 x 100 = 68.2%

4 0
3 years ago
PLS HELPPPP IVE ASKED THIS 3 TIMES (3y + 11) (7x - 30) (5x + 14)Write the equation of the line that passes through the points (0
zavuch27 [327]

Answer: 2x + 3y =  33

4 0
1 year ago
Write the rate as a fraction in simplest form: 492 miles in 8 hours.
Lostsunrise [7]
123 miles 2 hours

Tanks
8 0
3 years ago
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