Answer:
first angle = 60
second angle = 120
Step-by-step explanation:
Let the first angle x
Let the second angle = 2x
x + 2x = 180 Supplementary angles = 180 degrees
3x = 180 Divide by 3
3x/3 = 180/3
x = 60
2x = 120
Answer: average = 4
standard deviation = 0.38
<u>Step-by-step explanation:</u>
Average (aka Mean) = (4 + 3.5 + 4.5 + 4.2 + 3.8)/5 = 20/5 = 4
![\text{Standard Deviation = }\sqrt{\dfrac{1}{n-1}\sum(x-\overline{x})^2}\\\bullet n=5\\\bullet x=4\\\\\\SD=\sqrt{\dfrac{1}{5-1}[(4-4)^2+(4-3.5)^2+(4-4.2)^2+(4-3.8)^2]}\\\\\\.\quad =\sqrt{\dfrac{1}{4}[0+0.25+0.25+0.04+0.04]}\\\\\\.\quad =\sqrt{\dfrac{0.58}{4}}\\\\\\.\quad =0.38078](https://tex.z-dn.net/?f=%5Ctext%7BStandard%20Deviation%20%3D%20%7D%5Csqrt%7B%5Cdfrac%7B1%7D%7Bn-1%7D%5Csum%28x-%5Coverline%7Bx%7D%29%5E2%7D%5C%5C%5Cbullet%20n%3D5%5C%5C%5Cbullet%20x%3D4%5C%5C%5C%5C%5C%5CSD%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B5-1%7D%5B%284-4%29%5E2%2B%284-3.5%29%5E2%2B%284-4.2%29%5E2%2B%284-3.8%29%5E2%5D%7D%5C%5C%5C%5C%5C%5C.%5Cquad%20%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B4%7D%5B0%2B0.25%2B0.25%2B0.04%2B0.04%5D%7D%5C%5C%5C%5C%5C%5C.%5Cquad%20%3D%5Csqrt%7B%5Cdfrac%7B0.58%7D%7B4%7D%7D%5C%5C%5C%5C%5C%5C.%5Cquad%20%3D0.38078)
40% of 20 is 8 Boys
60% of 20 is 12 Girls
50% of the Girls is 6
25% of the Boys is 2
6 + 2 = 8 Students wore glasses
Hope this helps!
Answer:
Step-by-step explanation:
a. (I) x = 65
(ii) vertically opposite angles are equal.
b. (i) 71 degrees
(ii) alternate interior angles are equal
c. (i) z = 180 - 71 = 109 degrees
(ii) angles on a line add up to 180 degrees
<h3>Hope this helps</h3>