Answer: Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Step-by-step explanation:
Let the shorter leg bw represented by x.
Therefore, the longer leg will be x+2.
The hypothenuse is 10inches
We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4
2x² + 4x = 96
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
x² + 8x - 6x - 48 = 0
x(x + 8) -6(x + 8) = 0
x - 6 = 0
x = 0+6.
x = 6
Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
The second one because it has a proportional relationship
Answer:
Simplified to lowest possible would be 
Step-by-step explanation:
1. Angle-Side-Angle (ASA) Postulate.
2. corresponding parts of congruent triangles are congruent (CPCTC).
Answer:
0.8413 or 84.13%
Step-by-step explanation:
Given : The mean is 72 inches and the standard deviation is 15 inches
To Find : What is the probability that in a randomly selected year, the snowfall was less than 87 inches
Solution:
Mean = 
Standard deviation = 
Formula : 
We are supposed to find the probability that in a randomly selected year, the snowfall was less than 87 inches
So, x = 87
Substitute the values in the formula


Now to find P(z<87) refer the z table
P(Z<87)=0.8413 = 84.13%
So, the probability that in a randomly selected year, the snowfall was less than 87 inches if the mean is 72 inches and the standard deviation is 15 inches is 0.8413 or 84.13%