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snow_tiger [21]
3 years ago
12

I need help on this, picture is attached below

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0
<h3>Answer:  37 degrees</h3>

=====================================

Explanation:

Refer to the diagram below. I've marked angles FBD and ECG in red. We can see that they are alternate exterior angles because they are

Outside (aka exterior) of the parallel lines

On alternating sides of the transversal cut

Because JD is parallel to EK, this means the alternate exterior angles are congruent. Therefore, angle ECG is also 37 degrees.

Ignore angle ABG and ignore line AH. In my opinion, this is filler added as a distraction.

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Find the angle between the given vectors to the nearest tenth of a
pochemuha

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

6 0
3 years ago
2. In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviati
Kobotan [32]

Answer: $85,000

Step-by-step explanation:

Given : In a given population of two-earner male-female couples, male earnings have a mean of $40,000 per year and a standard deviation of $12,000.

\mu_M=40,000\ \ ;\sigma_M=12,000

Female earnings have a mean of $45,000 per year and a standard deviation of $18,000.

\mu_F=45,000\ \ ;\sigma_F=18,000

If  C denote the combined earnings for a randomly selected couple.

Then, the mean of C will be :-

\mu_c=\mu_M+\mu_F\\\\=40,000+45,000=85,000

Hence, the mean of C = $85,000

8 0
3 years ago
If the sum of a number and seven is tripled, the result is three less than twice the number. Find the number
hram777 [196]

Answer:

x = -24

Step-by-step explanation:

3(x + 7) = 2x - 3

3 * x = 3x

3 * 7 = 21

3x + 21 = 2x - 3

-21            -21

3x = 2x -24

-2x   -2x

x = -24

4 0
3 years ago
Will mark brainliest for whoever answers
Veseljchak [2.6K]
I can add u to a snap gc where we help each other with work
3 0
3 years ago
Geometrical prove that limit X tends to zero sin x by X equals to 1 various is measured in radian​
11111nata11111 [884]

lim \frac{ \sin(x) }{x} = 1 \\

It is true only whenever x tends to 0(zero)

it is not importent that x be in radian or in degree.

7 0
3 years ago
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