Step-by-step explanation:
the side on the left of 155 is 180-155 which is 25
the one on top of 120 is 180-120 which is 60 so the one on the right of x is 180-(25+60) which is 95
now the value of x is 180-95 which is 85.
in the second one x=180-100 because the angle on the bottom of x is corresponding to the one that's equal to 100, so x=180-100 which is 80
for the first one x=85
the second one x=80
Answer:
509in²
Step-by-step explanation:
Formula for calculating the area of a regular hexagon is given as:
A=(3√3a²)/2
'a' is one of the sides of the hexagon
Given a = 14in
Area = 3√3/2 × 14²
Area = 3√3/2 × 196
Area = 3√3 × 98
Area = 509.22in²
Area of the regular hexagon is approximately 509in²
Because each of these angles are 90 degrees, we know they're each equal to each other.
Let's find the value of the variable y first.
We can use 5y - 17 = 2y + 50 to find the value of y.
5y - 17 = 2y + 50
-2y from both sides
3y - 17 = 50
+17 to both sides
3y = 67
Divide both sides by 3
y = 22.33
Now we need to find the value of x.
x + 44 = 7x - 248
-x from both sides
44 = 6x - 248
+248 to both sides
292 = 6x
Divide both sides by 6
x = 48.67
And there's your variables.
y = 22.33
x = 48.67
For this case we have the following system of equations:
We multiply the first equation by -2:
We add the equations:
Adding we have:
We look for the value of "y":
So, the solution is 
Answer:
