Answer:
see explanation
Step-by-step explanation:
Since a hexagon has 6 interior angles and the measure of one is 120°, then
sum of interior angles = 6 × 120° = 720°
exterior angle = 180° - interior angle = 180° - 120° = 60°
Answer:
Step-by-step explanation:
Given
Required
Determine the distance covered in 
The distance is calculated using:
This gives:
Convert to improper fraction
Answer:
Step-by-step explanation:
X+7 < 12
Answer:
(1, 5 ) and (3, - 1 )
Step-by-step explanation:
Given the 2 equations
3x + y = 8 → (1)
x² + xy = 6 → (2)
Rearrange (1) expressing y in terms of x by subtracting 3x from both sides
y = 8 - 3x → (3)
Substitute y = 8 - 3x into (2)
x² + x(8 - 3x) = 6 ← distribute and simplify left side
x² + 8x - 3x² = 6
- 2x² + 8x = 6 ( subtract 6 from both sides )
- 2x² + 8x - 6 = 0 ← divide both sides by - 2
x² - 4x + 3 = 0 ← in standard form
(x - 1)(x - 3) ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 3 = 0 ⇒ x = 3
Substitute these values into (3) for corresponding values of y
x = 1 : y = 8 - 3 = 5 ⇒ (1, 5)
x = 3 : y = 8 - 9 = - 1 ⇒ (3, - 1)
Solutions are (1, 5 ) and (3, - 1 )
