The sum of interior angles of any polygon is:
s=180(n-2)
Since we are dealing with a triangle:
s=180(3-2)
s=180°
That is, the sum of angles of any triangle is 180°.
In this case we are given two angles with measures of 32° and 102° so
a+b+c=180
32+b+102=180 combine like terms on left
b+134=180 subtract 134 from both sides
b=46°
Divide common factors from both numerator and denominator.
Divide 2
8/2 = 4
10/2 = 5
8/10 simplified = 4/5
hope this helps
Answer: 
Step-by-step explanation:
We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6
Given : Favorable outcome = 5
i.e. Number of favorable outcomes =1
We know that the formula to find the probability for each event is given by :-

Then, the probability that the six faces cube will land with the number 5 face up will be :_

Hence, the required probability = 
Answer:
15 liters
Step-by-step explanation:
Given:
We need 5 liters of Yoda soda for 12 guest.
To find:
If we have 36 guest how many liters of Yoda soda we need.
Solution:
<u>By unitary method:</u>
For 12 guests, we need liters of Yoda soda = 5
For 1 guest, we need liters of Yoda soda = 
For 36 guests, we need liters of Yoda soda = 
Therefore, we need 15 liters of Yoda soda for 36 guests.