Answer:
x = 134
Step-by-step explanation:
Given that,
Five angles of a hexagon measures 119, 129,104,139 and 95 degrees.
We know that,
The sum of interior angles of a hexagon must equal 720 degrees.
So,
119+129+104+139 +95+x = 720
Where
x is the sixth angle
So,
586+x=720
x = 720-586
x = 134
So, the sixth angle is equal to 134.
Answer:
6 and 10
Step-by-step explanation:
xy=60
2(x+y)=32
x+y=16
y=16-x
Substitute y into area equation
x(16-x)=60
16x-x^2=60
x^2-16x+60=0
(x-10)(x-6)=0
x=10, 6
y=6, 10
Answer:
B) x = 2, y = 1
Step-by-step explanation:
Add the two equations to eliminate the x-variable.
(x +3y) +(-x +6y) = (5) +(4)
9y = 9 . . . . . . .simplify
y = 1 . . . . . . . . divide by 9
You can substitute this value into either equation to find x.
x + 3(1) = 5
x = 2 . . . . . . . . subtract 3
The solution is (x, y) = (2, 1).
From a reliable source, the ratio between the width and the length of the tennis court is equal to 5:12. We let x be the common factor of the given ratio such that the width is equal to 5x and the length is equal to 12x.
The perimeter of the figure is calculated through the equation,
P = 2L + 2W
where P is the perimeter, L is the length, and W is the width.
Substituting the derived expressions to the equation above.
228 = (2)(12x) + 2(5x)
x = 114/17
The width and length are calculated below.
Width = (5)(114/17) = 570/17 ft = 33.53 ft
Length = (12)(114/17) = 1368/17 ft = 80.47 ft
Thus, the dimensions are approximately 33.53 ft and 80.47 ft.
