Here is my work. Hope it helps.
Answer:
x = 76°
Step-by-step explanation:
At point I
to get angle JID
angle JID + 107° = 180°. (angle on a straight line)
angle JID = 180° - 107°
angle JID = 73°
for Triangle JiD
angle DJI + 31° + 73° = 180° (Sum of angles in a triangle)
angle DJI = 180 - 104 = 76°
angle FJI = 31 + 73 =104°. ( Sum of two interior angles in a triangle is equal to one exterior angle)
Hence,
x° + 104° = 180° (angle on a straight line)
x = 76°
You need two sides so you can rewrite it as:
2x = 70-(14+32)
2x = 24
x = 24/2
x = 12
The height is 12in.
Hope this helps! :)
There's no equation to find, as that is an expression.
However, an equal expression to that would be -1/2x - 2 + 9 for example.
Answer:
The area of the hexagon is approximately 55.43 square feet
Step-by-step explanation:
The given apothem of the hexagon, a = 4 ft.
The area of an hexagon given the apothem, 'a', is found as follows;
The area of an hexagon of side length, s, A = ((3·√3)/2)·s²
s = a·2·tan(180/n)
∴ A = ((3·√3)/2)·(a·2·tan(180/n))²
For an hexagon, n = 6
∴ A = ((3 × √3)/2) × (4 × 2 × tan(180/6))² ≈ 55.43
The area of the hexagon, A ≈ 55.43 ft.²