Answer:
Step-by-step explanation:
Put in the form of y = Ax + B
x + 2y = 10
2y = -x + 10
y = -½x + 5
has a slope of -½ and a y intercept of 5
-x + 4y = 8
4y = x + 8
y = ¼x + 2
has a slope of ¼ and a y intercept of 2
Answer:
See the below part
Step-by-step explanation:
1)
8 - 2x = 5 - 4x
=> 8 - 5 = -4x + 2x
=> 3 = -2x
=> 3/-2 = x
=> -3/2 = x
2)
4 + 3x = 2 - 2x
=> 4 - 2 = -2x - 3x
=> -2 = -5x
=> 2 = 5x
=> 2/5 = x
3)
2(x - 1) + 2(3x - 1) = 0
=> 2x - 2 + 6x - 2 = 0
=> 8x - 4 = 0
=> 8x = 4
=> x = 4/8
=> x = 1/2
By the way I looked this up but heres the best ive got
<span>Simplifying
(-1x + 27) + (16x + 4) = 0
Reorder the terms:
(27 + -1x) + (16x + 4) = 0
Remove parenthesis around (27 + -1x)
27 + -1x + (16x + 4) = 0
Reorder the terms:
27 + -1x + (4 + 16x) = 0
Remove parenthesis around (4 + 16x)
27 + -1x + 4 + 16x = 0
Reorder the terms:
27 + 4 + -1x + 16x = 0
Combine like terms: 27 + 4 = 31
31 + -1x + 16x = 0
Combine like terms: -1x + 16x = 15x
31 + 15x = 0
Solving
31 + 15x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-31' to each side of the equation.
31 + -31 + 15x = 0 + -31
Combine like terms: 31 + -31 = 0
0 + 15x = 0 + -31
15x = 0 + -31
Combine like terms: 0 + -31 = -31
15x = -31
Divide each side by '15'.
x = -2.066666667
Simplifying
x = -2.066666667</span>
Answer: x = 150°
Step-by-step explanation:
The tangent intersects the circle's radius at a 90° angle, so ∠OAC = ∠OBC = 90°.
AOBC is a quadrilateral and we know that sum of interior angles of quadrilateral equals to 360°.
Now,
∠OAC + ∠OBC + ∠AOB + ∠ACB = 360°
90° + 90° + x + 30° = 360°
210° + x = 360°
x = 360° - 210°
x = 150°
