Answer:
1. Distance is 5 units 2. Distance is 14 units 3. B. (2, -5), 10. (4, 14) 11. (6, 12) 14. x = 12 16. x = 55
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-

Hence the numbers are 4 and -3
The z-score of the number of teens that transfered schools is the standard score
The obtained value of z is 5
<h3>How to determine the value of z?</h3>
The given parameters are:
- Population mean, μ = 50
- Population standard deviation, σ = 10
- Sample, x = 100
- Sample mean = 59
The z-value is calculated using:
z = (x - μ)/σ
Substitute known values in the above formula
z = (100 - 50)/10
Evaluate the difference
z = 50/10
Evaluate the quotient
z = 5
Hence, the obtained value of z is 5
Read more about z-scores at:
brainly.com/question/25638875
Answer:
31
Step-by-step explanation:
3x + 12 and 105 are alternate exterior angles because A || B and B || C.
If the two or more lines are parallel, then the alternate exterior angles are equal.
3x + 12 = 105
Substract 12 on both sides,
3x = 105 - 12
3x = 93
Divide 3 on both sides,
x = 93 / 3
x = 31
As we know that
Fx = Fcos30.0deg
<span>60.0N = Fcos30.0deg </span>
<span>F = 60.0N/cos30.0deg </span>
<span>F = 69.3 N
</span><span> Fy = Fsin30.0deg </span>
<span>Fy = 69.3 N sin 30.0 deg </span>
<span>Fy = 34.6 N
</span>hope it helps