Answer:
The angle is 60 degrees
Step-by-step explanation:
This is a question about finding the GCF or the greatest common factor for these two numbers. The real question there is what is the largest number that both 56 and 64 can be divided by and still give out integers (meaning, whole regular counting numbers). This number turns out to be 8. 56/8 = 7. 64/8 = 8. The GCF gets pulled to the outside of the parenthesis and the divided numbers remain on the inside being added together. It looks like this, 8(7+8).
Answer:
(0, 2 ) and (- 
, 
)
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = -
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - : y = 2 - (- )² = 2 - 
= ⇒ ( - , )
Ratio of complement of x : supplement of x
2 : 5
⇒ 2 times the supplement of x will be equal to 5 times the complement of x
5(90 - x) = 2 (180 - x)
450 - 5x = 360 - 2x
5x - 2x = 450 - 360
3x = 90
x = 30°
Complement of x = 90 - x = 90 - 30 = 60
Supplement of x = 180 - x = 180 - 30 = 150
Ratio:
60 : 150
60 ÷ 30 : 150 ÷ 30
2 : 5 (checked)
