Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other
6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18
Finally, we solve for the angle with 18 for x
6(18) + 12
108 + 12
120
Hope this helps
Answer:
A) Alternate interior
Step-by-step explanation:
<h3>Answer: 1/6</h3>
====================================================
Explanation:
There are two methods to approach this type of problem.
-------------------------------------
Method 1
A = junior
B = girl
P(A) = probability of selecting a junior
P(B) = probability of selecting a girl
P(B) = (number of girls)/(number total)
P(B) = (4+7+3+4)/(4+4+5+7+2+3+1+4)
P(B) = 18/30
P(B) = 9/15
P(A and B) = probability of selecting a girl who is a junior
P(A and B) = (number of girl juniors)/(number total)
P(A and B) = 3/30
P(A and B) = 1/10
P(A given B) = P(A and B)/P(B)
P(A given B) = (1/10) divided by (9/15)
P(A given B) = (1/10) times (15/9)
P(A given B) = (1*15)/(10*9)
P(A given B) = 15/90
P(A given B) = 1/6
-------------------------------------
Method 2
This method doesn't involve dividing two fractions which could get messy, which is why I find this the easier route. Since we are given the person is a girl, this means we only need to focus on the "girls" column. There are 3 who are juniors out of 4+7+3+4 = 18 total. The probability of selecting a girl junior is 3/18 = 1/6
