Supplementary angles add up to 180°
x = greater supplementary angle
x - 118 = lesser angle
x + (x - 118) = 180
2x - 118 = 180
2x = 298
x = 149
x - 118
149 - 118 = 31
the angles are 31° and 149°
Answer:
confidence interval using a two sample t test between percents
Step-by-step explanation:
confidence interval using a two sample t test between percents This can be used to compare percentages drawn from two independent samples in this case employees. It is used to compare two sub groups from a single sample example the population on the planet
Answer:
A = (0, -8)
Step-by-step explanation:
B = (A+C)/2 . . . . the midpoint is the average of the end points
A = 2B -C = 2(-3, -5) -(-6, -2) . . . solve for A, substitute point values
A = (0, -8)
If the side lengths of B are 2x as long as the side lengths of A then the volume of B should be the volume of A^2
216^2=46,656
46,656-216=46,440
This can be more easily displayed with smaller numbers
If cube X were 2*2*2 then the volume would be 8
If cube Y were 4*4*4 then the volume would be 64
8(volume of cube X)^2=64(volume of cube Y)
First thing you should do is reduce coefficients.
1st equation has all multiples of '2'. Divide by 2
---> x +3y = -6
2nd equation has multiples of 5. Divide by 5.
---> x - y = 2
Now elimination part is easier.
Eliminate 'x' variable by subtracting 2nd equation from 1st.
x + 3y = -6
-(x - y = 2)
----------------------
4y = -8
Solve for 'y'
4y = -8
y = (-8)/4 = -2
Substitute value for 'y' back into 2nd equation:
x - (-2) = 2
x + 2 = 2
x = 0
Solution to system is:
x=0, y =-2
