in this picture lines AB and CD are parallel. Find the measures of the following angles. Explain your reasoning.

a. <BCD = 38 degrees, b. <ECF = 38 degrees, c. <DCF = 142 degrees

Step-by-step explanation: <BCD is 38 degrees because if ABC is 38 then BCD is 38. <ECF is also 38 degrees because it is a vertical angle to <BCD and <BCD is 38 degrees. Since there is a straight line it equals 180 degrees. And since <ECF is 38 degrees we subtract 38 from 180 to get 142 degrees. <DCF = 142 degrees

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950