Answer:
4/25 = 0.16
Step-by-step explanation:
The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:
(5/3 − 1) / (5/3 − 0)
(2/3) / (5/3)
2/5
So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.
Lets get these into improper fractions.
1*8 + 5 = 8+5 = 13
13/8
1*3 + 2 = 3+2 = 5
5/3
Now divide
13/8 = 1.625
5/3 = 1.6666
1 2/3 is larger
Answer:
The solution is 
Step-by-step explanation:
We need to write everything as a power of 3.
We know that:

So

And

This following property is also important:

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side





This means that:



Answer:
m∠b = 35°
m∠c = 145°
m∠ d = 35°
Step-by-step explanation:
To find m∠b, we use Definition of Supplementary Angles:
180 - (90 + 55) = 35°
To find m∠c, we also use Definition of Supplementary Angles:
180 - 35 = 145°
To find m∠d, we use Vertical Angles Theorem:
m∠b = m∠d = 35°