Lawrence, an attorney, charges an initial fee of $100 plus $75 per hour for a consultation. he typically charges clients either less than $250 or more than $700. which inequality represents x, the typical number of hours worked?

a. 75x + 100 < 250 or 75x + 100 > 700
b. 100x + 75 < 250 or 100x + 75 > 700
c. 250 < 75x + 100 < 700
d. 250 < 100x + 75 < 700

Kelly is a salesperson at a shoe store, where she must sell a pre-set number of pairs of shoes each month. at the end of each work day the number of pairs of shoes that she has left to sell that month is given by the equation s=300-15x , where s is the number of pair of shoes kelly still needs to sell and x is the number of days she has worked that month. what is the meaning of the number 300 in this equation

How do businesses a country's economy? a. by investing in goods and services b. by increasing the unemployment rate c. by making profits

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.