X = 4(180 - x)
x = 720 - 4x
4x + x = 720
5x = 720
x = 720/5
x = 144
180 - x =
180 - 144 =
36
the measure of the angle is 144...the measure of its supplement is 36
Angle 2 is 143
angle 4 is 37
angle 7 is 143
angle 8 is 37
welll i kinda don get ur question but ummmm if u say like the graetest number then 48
Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
Answer:
The Answer is 76.
Step-by-step explanation:
Given the normal distribution " 10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable'', we can see that exemplary employees are top 10% rated employees.
We have the formula for normal distribution:
z=(X-M)÷σ
where z is the <em>minimum z-score </em>for top 10% employee, X is the <em>minimum </em>score for top 10% employee, M is the <em>mean</em> of the score distribution, σ is the <em>standard deviation</em> of the score distribution.
The z-score we are looking for is the value "a" that separates the highest 10% from the lowest 90% i.e. P(z≤a)=0.90
If we look at z-table, corresponding value for a is 1.28155
We can now put the values in the formula:
1.28155=
So X=(1.28155×20)+50=75.631
Therefore minimum score for exemplary employee is 76.