Answer:
1). x° + 100° + 120° + 100° = 360°
2). x = 40
Step-by-step explanation:
Formula for the sum of the interior angles of a polygon =
Where n = number of sides of the polygon
From the picture attached,
For n = 4,
Sum of the interior angles of the given polygon = (4 - 2) × 180°
= 360°
Therefore, equation for the sum of interior angles will be,
x° + 100° + 120° + 100° = 360°
x° + 320° = 360°
x° = 360° - 320°
x° = 40°
Answer:
1) A system of two linear equations to represent this problem
x+y=20 and x-y=12
2) The numbers are x=16 and y=4
Step-by-step explanation:
Let x and y be the two numbers
Given that the sum of the two numbers is 20
That is
and the difference is 12
That is
1) A system of two linear equations to represent this problem
2). Noe Solve the system to find the 2 numbers:
Adding the equations (1) and (2) we get
_____________
2x=32
Therfore x=16
Now substitute x=16 in equation (1) we get
Therefore y=4
Therefore the numbers are x=16 and y=4