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 continuity of
and its limiting behavior guarantees that
is Riemann integrable, so you can write
where
and
, so that
The radius would be 10 and the arc would be 5.
I hope this helps.
Have a blessed day!
Answer:
D
Step-by-step explanation:
Since the constructed line is a perpendicular bisector of the line AB, then
AC = BC ← substitute values
4x + 12 = 2x + 18 ( subtract 2x from both sides )
2x + 12 = 18 ( subtract 12 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Hence
AB = 2AC = 2(4x + 12) ← substitute x = 3
AB = 2(12 + 12) = 2 × 24 = 48 → D
Answer:
x ≈ 37.13°
Step-by-step explanation:
using the sine ratio in the right triangle
sin x = 
= 
, then
x = 
( ) ≈ 37.13° ( to the nearest hundredth )
