Answer:180 degrees
Step-by-step explanation:Let "x" be the measure of the angle the problem is asking for.
"when twice of a angle is added to 45" is the angle (2x+45) degrees.
The problem says that the angle (2x+45) is the supplement to the given angle.
It means that
x + (2x + 45) = 180 degrees. <<<---=== This equation is the exact meaning of the condition.
Simplify and solve this equation for x:
3x + 45 = 180 ====> 3x = 180 - 45 = 135
====> x = 135/3 = 45 degrees.
The simplified form of the square root of 140 equals 2<span>√35
</span>
It would be 10 because the scale factor is -2
Answer:

Step-by-step explanation:
1. Area of base
The radius given is that of the circumcircle.
The general formula for the edge length a of a regular polygon is
a = 2Rsin(π/n)
So,
a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in
The general formula for the area of a regular polygon is
A = ¼na²cot(π/n)
So,
A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²
2. Lateral area
The general formula for the lateral area L of regular prism is
L = nah
So,
L = 5 × 5.878 × 12 = 352.7 in²
3. Total area
Total surface area = lateral area + 2×base area
S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²

Answer:
.6
Step-by-step explanation:
7/11 would be around .63, rounded to the nearest tenth is .6,