Answer:
The first one
Step-by-step explanation:
All of the others are true
A.) Probability of selecting two students and two faculty members from 20 students and 5 faculty volunteers = no of ways of selecting two students and two faculty members from 20 students and 5 faculty volunteers divided by the number of ways of selecting 4 people from 25 people = (20C2 x 5C2) / 25C5 = 1900 / 53130 = 0.036 = 3.58%
b.) Probability of selecting three students and one faculty members from 20
students and 5 faculty volunteers = no of ways of selecting three students
and one faculty members from 20 students and 5 faculty volunteers
divided by the number of ways of selecting 4 people from 25 people = (20C3 x 5C1) / 25C5 = 5700 / 53130 = 0.107 = 10.7%
Answer:
120.8°
Step-by-step explanation:
the total angle sum is of 360 so we add and subtract
35.8+25.4+178= 239.2
360-239.2= 120.8
so the missing angle measure is 120.8°
Using the concept of supplementary angles, it is found that the measure of angle B is of 135º.
--------------------------------
- If two angles are supplementary, the<u> sum of their measures is of 180º</u>.
- A and B are supplementary, thus:
![A + B = 180](https://tex.z-dn.net/?f=A%20%2B%20B%20%3D%20180)
- The measure of angle A is 1/3 of the measure of angle B, thus:
![A = \frac{B}{3}](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7BB%7D%7B3%7D)
Replacing in the equation for the sum:
![A + B = 180](https://tex.z-dn.net/?f=A%20%2B%20B%20%3D%20180)
![\frac{B}{3} + B = 180](https://tex.z-dn.net/?f=%5Cfrac%7BB%7D%7B3%7D%20%2B%20B%20%3D%20180)
![B + 3B = 540](https://tex.z-dn.net/?f=B%20%2B%203B%20%3D%20540)
![4B = 540](https://tex.z-dn.net/?f=4B%20%3D%20540)
![B = \frac{540}{4}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B540%7D%7B4%7D)
![B = 135](https://tex.z-dn.net/?f=B%20%3D%20135)
The measure of angle B is of 135º.
A similar problem is given at brainly.com/question/22826236
Answer:
angles are 80 and 100
Step-by-step explanation:
x is 20
n then solve for x