1. First, you must apply the formula
for calculate the sum of the interior angles of a regular polygon, which is
shown below:
(n-2) × 180°
"n" is the number of sides of the polygon (n=5).
2. Then, the sum of the interior angles of the pentagon, is:
(5-2)x180°=540°
3. The problem says that the measure of each of the other interior angles is equal to the sum of the measures of the two acute angles and now you know that the sum of all the angles is 540°, then, you have:
α+α+2α+2α+2α=540°
8α=540°
α=540°/8
α=67.5°
4. Finally, the larger angle is:
2α=2(67.5°)=135°
5. Therefore, the answer is: 135°
Answer: 
Step-by-step explanation:
Three-fifths of the sum of 9 and f is 
=
=
Answer:
6.00
6.75
Step-by-step explanation:
Answer:
4in : 1ft
Step-by-step explanation:
We start with:
3/4 in = 3/16 ft
This means that the length of 3/4 inches is the same as the length of 3/16 feet.
To reduce this, we can start by dividing by 3 in both sides of the equation:
(3/4)/3 in = (3/16)/3 ft
1/4 in = 1/16 ft
Now we can multiply both sides by 16:
16/4 in = 16/16ft
4 in = 1ft
now we reduced the ratio to:
4in : 1ft
Standard Deviation, σ: 1.5
Count, N: 10
Sum, Σx: 15
Mean, μ: 1.5
Variance, σ2: 2.25
Steps
σ2 =
Σ(xi - μ)2
N
=
(0 - 1.5)2 + ... + (5 - 1.5)2
10
=
22.5
10
= 2.25
σ = √2.25
= 1.5
