Construct a finite-state machine for a restricted telephone switching system that implements these rules. only calls to the
telephone numbers 0, 911. and the digit 1 followed by 10-digit telephone numbers that begin with 212. 800, 866.877, and
888 are sent to the network all other strings of digits are blocked by the system and the user hears an error message.

Aflute is on sale for 20% off. including the discount and 8% tax, the sales price is $216.

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.

What number line represents the solution set for the inequality -1/2 greater than or equal to 4