9514 1404 393
Answer:
x > -5
Step-by-step explanation:
(2/5)(x -1) < (3/5)(x +1) . . . . . given
2(x -1) < 3(x +1) . . . . . . . . . . .multiply by 5
2x -2 < 3x +3 . . . . . . . . . . . eliminate parentheses
-5 < x . . . . . . . . . . . . . . . . . . add -2x-3 to both sides
This matches the second answer choice: x > -5.
Step-by-step explanation:
Given equation of circle is,

again the another form of circle is,

now equating the values of f in both equations,
-k=-3
i.e. k=3
therefore k=3
Answer:
m∠2 = 140°
Step-by-step explanation:
m∠1 = m∠3, since they're vertical angles.
Solve for x:

Plug in 6 for x for either m∠1 or m∠3. Doesn't matter since they're equal.
m∠1 = (2(6) + 28)°
m∠1 = (12 + 28)°
m∠1 = 40°
Now that we know m∠1, we can now solve for m∠2.
m∠1 + m∠2 = 180°
40° + m∠2 = 180°
m∠2 = 140°