I think the answer is 27.43
<span>Select one equation and solve it for one of its variables.
In the other equation, substitute for the variable just solved.
Solve the new equation.
<span>Substitute the value found into any equation involving both variables and solve for the other variable. </span></span>
Answer:
18
Step-by-step explanation:
The interior and exterior angle of a polygon is supplementary
let interior be I
let exterior be E
I + E = 180
Since the interior angle is 8 times that of an exterior angle,
8E + E = 180 [replacing I with 8E]
9E = 180
E = 20
The exterior angle is 20 degrees
I + E = 180
I + 20 = 180
I = 160
The interior angle is 160 degrees.
The equation to find the interior angle of a polygon with 'n' number of sides is:
I = ( (n − 2) × 180 ) ⁄ n
We know the interior angle, so plug it in and solve for n:
160 = ( (n − 2) × 180 ) ⁄ n
160n = (n − 2) × 180
160n = 180n − 360
-20n = -360
n = 18
Answer:The LCM of 10, 15, and 20 is 60. After 60 minutes, they ring together again.
Step-by-step explanation:
Answer:
Simplify the expression.
Exact Form:
111129715061983798933/3
Decimal Form:
3.70432383⋅10^19
Step-by-step explanation: